TSTP Solution File: SWV565-1.007 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV565-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:47:01 EDT 2023
% Result : Unsatisfiable 0.62s 0.95s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 78
% Syntax : Number of formulae : 364 ( 110 unt; 43 typ; 0 def)
% Number of atoms : 904 ( 903 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 619 ( 36 ~; 583 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 40 con; 0-3 aty)
% Number of variables : 66 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
store: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
select: ( $i * $i ) > $i ).
tff(decl_24,type,
a_32: $i ).
tff(decl_25,type,
a1: $i ).
tff(decl_26,type,
i1: $i ).
tff(decl_27,type,
e_31: $i ).
tff(decl_28,type,
a_34: $i ).
tff(decl_29,type,
a2: $i ).
tff(decl_30,type,
e_33: $i ).
tff(decl_31,type,
a_36: $i ).
tff(decl_32,type,
i2: $i ).
tff(decl_33,type,
e_35: $i ).
tff(decl_34,type,
a_38: $i ).
tff(decl_35,type,
e_37: $i ).
tff(decl_36,type,
a_40: $i ).
tff(decl_37,type,
i3: $i ).
tff(decl_38,type,
e_39: $i ).
tff(decl_39,type,
a_42: $i ).
tff(decl_40,type,
e_41: $i ).
tff(decl_41,type,
a_44: $i ).
tff(decl_42,type,
i4: $i ).
tff(decl_43,type,
e_43: $i ).
tff(decl_44,type,
a_46: $i ).
tff(decl_45,type,
e_45: $i ).
tff(decl_46,type,
a_48: $i ).
tff(decl_47,type,
i5: $i ).
tff(decl_48,type,
e_47: $i ).
tff(decl_49,type,
a_50: $i ).
tff(decl_50,type,
e_49: $i ).
tff(decl_51,type,
a_52: $i ).
tff(decl_52,type,
i6: $i ).
tff(decl_53,type,
e_51: $i ).
tff(decl_54,type,
a_54: $i ).
tff(decl_55,type,
e_53: $i ).
tff(decl_56,type,
a_56: $i ).
tff(decl_57,type,
i7: $i ).
tff(decl_58,type,
e_55: $i ).
tff(decl_59,type,
a_58: $i ).
tff(decl_60,type,
e_57: $i ).
tff(decl_61,type,
e_60: $i ).
tff(decl_62,type,
i_59: $i ).
tff(decl_63,type,
e_61: $i ).
tff(decl_64,type,
sk: ( $i * $i ) > $i ).
cnf(hyp13,hypothesis,
a_58 = store(a_54,i7,e_57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp31,hypothesis,
a_56 = a_58,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(hyp12,hypothesis,
a_56 = store(a_52,i7,e_55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
cnf(a2,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
cnf(hyp11,hypothesis,
a_54 = store(a_50,i6,e_53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp10,hypothesis,
a_52 = store(a_48,i6,e_51),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp9,hypothesis,
a_50 = store(a_46,i5,e_49),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp8,hypothesis,
a_48 = store(a_44,i5,e_47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp7,hypothesis,
a_46 = store(a_42,i4,e_45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
cnf(a3,axiom,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
cnf(hyp1,hypothesis,
a_34 = store(a2,i1,e_33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
cnf(hyp6,hypothesis,
a_44 = store(a_40,i4,e_43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp0,hypothesis,
a_32 = store(a1,i1,e_31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
cnf(hyp5,hypothesis,
a_42 = store(a_38,i3,e_41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp4,hypothesis,
a_40 = store(a_36,i3,e_39),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp3,hypothesis,
a_38 = store(a_34,i2,e_37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp29,hypothesis,
e_61 = select(a2,i_59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
cnf(hyp2,hypothesis,
a_36 = store(a_32,i2,e_35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp28,hypothesis,
e_60 = select(a1,i_59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
cnf(hyp27,hypothesis,
e_57 = select(a_52,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
cnf(hyp26,hypothesis,
e_55 = select(a_54,i7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
cnf(goal,negated_conjecture,
e_60 != e_61,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(hyp24,hypothesis,
e_51 = select(a_50,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp25,hypothesis,
e_53 = select(a_48,i6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
cnf(hyp22,hypothesis,
e_47 = select(a_46,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp23,hypothesis,
e_49 = select(a_44,i5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp20,hypothesis,
e_43 = select(a_42,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp21,hypothesis,
e_45 = select(a_40,i4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp18,hypothesis,
e_39 = select(a_38,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp19,hypothesis,
e_41 = select(a_36,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp17,hypothesis,
e_37 = select(a_32,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
cnf(hyp16,hypothesis,
e_35 = select(a_34,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp14,hypothesis,
e_31 = select(a2,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
cnf(hyp15,hypothesis,
e_33 = select(a1,i1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
cnf(c_0_35,hypothesis,
a_58 = store(a_54,i7,e_57),
hyp13 ).
cnf(c_0_36,hypothesis,
a_56 = a_58,
hyp31 ).
cnf(c_0_37,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_38,hypothesis,
store(a_54,i7,e_57) = a_56,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,hypothesis,
a_56 = store(a_52,i7,e_55),
hyp12 ).
cnf(c_0_40,hypothesis,
select(a_56,i7) = e_57,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,hypothesis,
e_57 = e_55,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_39]),c_0_40]) ).
cnf(c_0_42,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
a2 ).
cnf(c_0_43,hypothesis,
a_54 = store(a_50,i6,e_53),
hyp11 ).
cnf(c_0_44,hypothesis,
store(a_54,i7,e_55) = a_56,
inference(rw,[status(thm)],[c_0_38,c_0_41]) ).
cnf(c_0_45,hypothesis,
a_52 = store(a_48,i6,e_51),
hyp10 ).
cnf(c_0_46,hypothesis,
a_50 = store(a_46,i5,e_49),
hyp9 ).
cnf(c_0_47,hypothesis,
( select(a_54,X1) = select(a_50,X1)
| i6 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,hypothesis,
( select(a_54,X1) = select(a_56,X1)
| i7 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_44]) ).
cnf(c_0_49,hypothesis,
a_48 = store(a_44,i5,e_47),
hyp8 ).
cnf(c_0_50,hypothesis,
( select(a_52,X1) = select(a_56,X1)
| i7 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_51,hypothesis,
( select(a_52,X1) = select(a_48,X1)
| i6 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_52,hypothesis,
a_46 = store(a_42,i4,e_45),
hyp7 ).
cnf(c_0_53,hypothesis,
( select(a_50,X1) = select(a_46,X1)
| i5 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_46]) ).
cnf(c_0_54,hypothesis,
( select(a_50,X1) = select(a_56,X1)
| i7 = X1
| i6 = X1 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,axiom,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
a3 ).
cnf(c_0_56,hypothesis,
a_34 = store(a2,i1,e_33),
hyp1 ).
cnf(c_0_57,hypothesis,
a_44 = store(a_40,i4,e_43),
hyp6 ).
cnf(c_0_58,hypothesis,
( select(a_48,X1) = select(a_44,X1)
| i5 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_59,hypothesis,
( select(a_48,X1) = select(a_56,X1)
| i6 = X1
| i7 = X1 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,hypothesis,
a_32 = store(a1,i1,e_31),
hyp0 ).
cnf(c_0_61,hypothesis,
a_42 = store(a_38,i3,e_41),
hyp5 ).
cnf(c_0_62,hypothesis,
( select(a_46,X1) = select(a_42,X1)
| i4 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
cnf(c_0_63,hypothesis,
( select(a_46,X1) = select(a_56,X1)
| i6 = X1
| i7 = X1
| i5 = X1 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,plain,
select(store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)),X2) = select(X1,X3),
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
cnf(c_0_65,hypothesis,
( select(a_34,X1) = select(a2,X1)
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_56]) ).
cnf(c_0_66,hypothesis,
a_40 = store(a_36,i3,e_39),
hyp4 ).
cnf(c_0_67,hypothesis,
( select(a_44,X1) = select(a_40,X1)
| i4 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_57]) ).
cnf(c_0_68,hypothesis,
( select(a_44,X1) = select(a_56,X1)
| i7 = X1
| i6 = X1
| i5 = X1 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,hypothesis,
( select(a_32,X1) = select(a1,X1)
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_70,hypothesis,
a_38 = store(a_34,i2,e_37),
hyp3 ).
cnf(c_0_71,hypothesis,
( select(a_42,X1) = select(a_38,X1)
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_72,hypothesis,
( select(a_42,X1) = select(a_56,X1)
| i5 = X1
| i7 = X1
| i6 = X1
| i4 = X1 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,hypothesis,
( select(store(store(a_34,X1,select(a2,X2)),X2,select(a_34,X1)),X1) = select(a2,X2)
| i1 = X2 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,hypothesis,
e_61 = select(a2,i_59),
hyp29 ).
cnf(c_0_75,hypothesis,
a_36 = store(a_32,i2,e_35),
hyp2 ).
cnf(c_0_76,hypothesis,
( select(a_40,X1) = select(a_36,X1)
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_66]) ).
cnf(c_0_77,hypothesis,
( select(a_40,X1) = select(a_56,X1)
| i5 = X1
| i6 = X1
| i7 = X1
| i4 = X1 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,hypothesis,
( select(store(store(a_32,X1,select(a1,X2)),X2,select(a_32,X1)),X1) = select(a1,X2)
| i1 = X2 ),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_79,hypothesis,
e_60 = select(a1,i_59),
hyp28 ).
cnf(c_0_80,hypothesis,
( select(a_38,X1) = select(a_34,X1)
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_70]) ).
cnf(c_0_81,hypothesis,
( select(a_38,X1) = select(a_56,X1)
| i4 = X1
| i6 = X1
| i7 = X1
| i5 = X1
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,hypothesis,
( select(store(store(a_34,X1,e_61),i_59,select(a_34,X1)),X1) = e_61
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,hypothesis,
( select(a_36,X1) = select(a_32,X1)
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_75]) ).
cnf(c_0_84,hypothesis,
( select(a_36,X1) = select(a_56,X1)
| i4 = X1
| i7 = X1
| i6 = X1
| i5 = X1
| i3 = X1 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,hypothesis,
( select(store(store(a_32,X1,e_60),i_59,select(a_32,X1)),X1) = e_60
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,hypothesis,
e_57 = select(a_52,i7),
hyp27 ).
cnf(c_0_87,hypothesis,
e_55 = select(a_54,i7),
hyp26 ).
cnf(c_0_88,hypothesis,
( select(a_34,X1) = select(a_56,X1)
| i3 = X1
| i5 = X1
| i7 = X1
| i6 = X1
| i4 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,hypothesis,
( select(a_34,i_59) = e_61
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_37,c_0_82]) ).
cnf(c_0_90,hypothesis,
( select(a_32,X1) = select(a_56,X1)
| i3 = X1
| i5 = X1
| i6 = X1
| i7 = X1
| i4 = X1
| i2 = X1 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,hypothesis,
( select(a_32,i_59) = e_60
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_37,c_0_85]) ).
cnf(c_0_92,hypothesis,
select(a_52,i7) = e_55,
inference(rw,[status(thm)],[c_0_86,c_0_41]) ).
cnf(c_0_93,hypothesis,
( select(a_50,i7) = e_55
| i7 = i6 ),
inference(spm,[status(thm)],[c_0_87,c_0_47]) ).
cnf(c_0_94,hypothesis,
( select(store(store(a_38,X1,select(a_34,X2)),X2,select(a_38,X1)),X1) = select(a_34,X2)
| i2 = X2 ),
inference(spm,[status(thm)],[c_0_64,c_0_80]) ).
cnf(c_0_95,hypothesis,
( select(a_56,i_59) = e_61
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i7
| i_59 = i5
| i_59 = i3 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,hypothesis,
( select(a_56,i_59) = e_60
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i7
| i_59 = i6
| i_59 = i5
| i_59 = i3 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
e_60 != e_61,
goal ).
cnf(c_0_98,hypothesis,
( select(a_48,i7) = e_55
| i7 = i6 ),
inference(spm,[status(thm)],[c_0_92,c_0_51]) ).
cnf(c_0_99,hypothesis,
( select(a_46,i7) = e_55
| i7 = i5
| i7 = i6 ),
inference(spm,[status(thm)],[c_0_93,c_0_53]) ).
cnf(c_0_100,hypothesis,
( select(store(store(a_38,X1,e_61),i_59,select(a_38,X1)),X1) = e_61
| i_59 = i1
| i_59 = i2 ),
inference(spm,[status(thm)],[c_0_94,c_0_89]) ).
cnf(c_0_101,hypothesis,
( i_59 = i3
| i_59 = i5
| i_59 = i7
| i_59 = i6
| i_59 = i4
| i_59 = i2
| i_59 = i1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_102,hypothesis,
( select(a_44,i7) = e_55
| i7 = i5
| i7 = i6 ),
inference(spm,[status(thm)],[c_0_98,c_0_58]) ).
cnf(c_0_103,hypothesis,
( select(a_42,i7) = e_55
| i7 = i4
| i7 = i6
| i7 = i5 ),
inference(spm,[status(thm)],[c_0_99,c_0_62]) ).
cnf(c_0_104,hypothesis,
( select(a_38,i_59) = e_61
| i_59 = i2
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_37,c_0_100]) ).
cnf(c_0_105,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| i7 != i1 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_106,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| i7 != i2 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_107,hypothesis,
select(a_52,i6) = e_51,
inference(spm,[status(thm)],[c_0_37,c_0_45]) ).
cnf(c_0_108,hypothesis,
select(a_54,i6) = e_53,
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_109,hypothesis,
( select(a_40,i7) = e_55
| i7 = i4
| i7 = i6
| i7 = i5 ),
inference(spm,[status(thm)],[c_0_102,c_0_67]) ).
cnf(c_0_110,hypothesis,
( select(a_38,i7) = e_55
| i7 = i5
| i7 = i6
| i7 = i4
| i7 = i3 ),
inference(spm,[status(thm)],[c_0_71,c_0_103]) ).
cnf(c_0_111,hypothesis,
( select(a_38,i7) = e_61
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_101]),c_0_105]),c_0_106]) ).
cnf(c_0_112,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| i7 != i3 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_113,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| i7 != i4 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_114,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| i7 != i6 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_115,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| i7 != i5 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_116,hypothesis,
( select(a_56,i6) = e_51
| i7 = i6 ),
inference(spm,[status(thm)],[c_0_107,c_0_50]) ).
cnf(c_0_117,hypothesis,
( select(a_56,i6) = e_53
| i7 = i6 ),
inference(spm,[status(thm)],[c_0_108,c_0_48]) ).
cnf(c_0_118,hypothesis,
e_51 = select(a_50,i6),
hyp24 ).
cnf(c_0_119,hypothesis,
( select(a_36,i7) = e_55
| i7 = i5
| i7 = i6
| i7 = i4
| i7 = i3 ),
inference(spm,[status(thm)],[c_0_76,c_0_109]) ).
cnf(c_0_120,hypothesis,
( i_59 = i3
| i_59 = i5
| i_59 = i6
| i_59 = i4
| i_59 = i2
| i_59 = i1
| e_61 = e_55 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_121,hypothesis,
e_53 = select(a_48,i6),
hyp25 ).
cnf(c_0_122,hypothesis,
( i7 = i6
| e_53 = e_51 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,hypothesis,
( select(a_46,i6) = e_51
| i6 = i5 ),
inference(spm,[status(thm)],[c_0_118,c_0_53]) ).
cnf(c_0_124,hypothesis,
( select(a_32,i7) = e_55
| i7 = i3
| i7 = i4
| i7 = i6
| i7 = i5
| i7 = i2 ),
inference(spm,[status(thm)],[c_0_83,c_0_119]) ).
cnf(c_0_125,hypothesis,
( select(a_32,i7) = e_60
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_101]),c_0_105]) ).
cnf(c_0_126,negated_conjecture,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i6
| i_59 = i5
| i_59 = i3
| e_60 != e_55 ),
inference(spm,[status(thm)],[c_0_97,c_0_120]) ).
cnf(c_0_127,hypothesis,
( select(a_44,i6) = e_53
| i6 = i5 ),
inference(spm,[status(thm)],[c_0_121,c_0_58]) ).
cnf(c_0_128,hypothesis,
( e_53 = e_51
| e_55 = e_53 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_122]),c_0_108]) ).
cnf(c_0_129,hypothesis,
( e_53 = e_51
| e_55 = e_51 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_122]),c_0_107]) ).
cnf(c_0_130,hypothesis,
( select(a_42,i6) = e_51
| i6 = i4
| i6 = i5 ),
inference(spm,[status(thm)],[c_0_123,c_0_62]) ).
cnf(c_0_131,hypothesis,
( i_59 = i3
| i_59 = i5
| i_59 = i6
| i_59 = i4
| i_59 = i2
| i_59 = i1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_106]),c_0_115]),c_0_114]),c_0_113]),c_0_112]),c_0_126]) ).
cnf(c_0_132,hypothesis,
select(a_48,i5) = e_47,
inference(spm,[status(thm)],[c_0_37,c_0_49]) ).
cnf(c_0_133,hypothesis,
select(a_50,i5) = e_49,
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_134,hypothesis,
( select(a_40,i6) = e_53
| i6 = i4
| i6 = i5 ),
inference(spm,[status(thm)],[c_0_127,c_0_67]) ).
cnf(c_0_135,hypothesis,
e_53 = e_51,
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,hypothesis,
( select(a_38,i6) = e_51
| i6 = i3
| i6 = i5
| i6 = i4 ),
inference(spm,[status(thm)],[c_0_130,c_0_71]) ).
cnf(c_0_137,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3
| i6 != i1 ),
inference(ef,[status(thm)],[c_0_131]) ).
cnf(c_0_138,hypothesis,
( select(a_56,i5) = e_47
| i7 = i5
| i6 = i5 ),
inference(spm,[status(thm)],[c_0_132,c_0_59]) ).
cnf(c_0_139,hypothesis,
( select(a_56,i5) = e_49
| i6 = i5
| i7 = i5 ),
inference(spm,[status(thm)],[c_0_133,c_0_54]) ).
cnf(c_0_140,hypothesis,
( select(a_40,i6) = e_51
| i6 = i5
| i6 = i4 ),
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,hypothesis,
( select(a_34,i6) = e_51
| i6 = i4
| i6 = i5
| i6 = i3
| i6 = i2 ),
inference(spm,[status(thm)],[c_0_80,c_0_136]) ).
cnf(c_0_142,hypothesis,
( select(a_34,i6) = e_61
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_131]),c_0_137]) ).
cnf(c_0_143,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3
| i6 != i2 ),
inference(ef,[status(thm)],[c_0_131]) ).
cnf(c_0_144,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3
| i6 != i3 ),
inference(ef,[status(thm)],[c_0_131]) ).
cnf(c_0_145,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3
| i6 != i5 ),
inference(ef,[status(thm)],[c_0_131]) ).
cnf(c_0_146,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3
| i6 != i4 ),
inference(ef,[status(thm)],[c_0_131]) ).
cnf(c_0_147,hypothesis,
( i6 = i5
| i7 = i5
| e_49 = e_47 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,hypothesis,
( select(a_36,i6) = e_51
| i6 = i4
| i6 = i5
| i6 = i3 ),
inference(spm,[status(thm)],[c_0_76,c_0_140]) ).
cnf(c_0_149,hypothesis,
( i_59 = i3
| i_59 = i5
| i_59 = i4
| i_59 = i2
| i_59 = i1
| e_61 = e_51 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_150,hypothesis,
select(a_44,i4) = e_43,
inference(spm,[status(thm)],[c_0_37,c_0_57]) ).
cnf(c_0_151,hypothesis,
select(a_46,i4) = e_45,
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_152,hypothesis,
( e_49 = e_47
| i6 = i5
| e_55 = e_49 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_147]),c_0_133]) ).
cnf(c_0_153,hypothesis,
( e_49 = e_47
| i6 = i5
| e_55 = e_47 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_147]),c_0_132]) ).
cnf(c_0_154,hypothesis,
e_47 = select(a_46,i5),
hyp22 ).
cnf(c_0_155,hypothesis,
( select(a_32,i6) = e_51
| i6 = i3
| i6 = i5
| i6 = i4
| i6 = i2 ),
inference(spm,[status(thm)],[c_0_83,c_0_148]) ).
cnf(c_0_156,hypothesis,
( select(a_32,i6) = e_60
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_131]),c_0_137]) ).
cnf(c_0_157,negated_conjecture,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i5
| i_59 = i3
| e_60 != e_51 ),
inference(spm,[status(thm)],[c_0_97,c_0_149]) ).
cnf(c_0_158,hypothesis,
( select(a_56,i4) = e_43
| i5 = i4
| i6 = i4
| i7 = i4 ),
inference(spm,[status(thm)],[c_0_150,c_0_68]) ).
cnf(c_0_159,hypothesis,
( select(a_56,i4) = e_45
| i5 = i4
| i7 = i4
| i6 = i4 ),
inference(spm,[status(thm)],[c_0_151,c_0_63]) ).
cnf(c_0_160,hypothesis,
e_49 = select(a_44,i5),
hyp23 ).
cnf(c_0_161,hypothesis,
( i6 = i5
| e_49 = e_47 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_162,hypothesis,
select(a_48,i6) = e_51,
inference(rw,[status(thm)],[c_0_121,c_0_135]) ).
cnf(c_0_163,hypothesis,
( select(a_42,i5) = e_47
| i5 = i4 ),
inference(spm,[status(thm)],[c_0_154,c_0_62]) ).
cnf(c_0_164,hypothesis,
( i_59 = i3
| i_59 = i5
| i_59 = i4
| i_59 = i2
| i_59 = i1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_143]),c_0_146]),c_0_145]),c_0_144]),c_0_157]) ).
cnf(c_0_165,hypothesis,
select(a_40,i3) = e_39,
inference(spm,[status(thm)],[c_0_37,c_0_66]) ).
cnf(c_0_166,hypothesis,
select(a_42,i3) = e_41,
inference(spm,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_167,hypothesis,
( i7 = i4
| i6 = i4
| i5 = i4
| e_45 = e_43 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_168,hypothesis,
( select(a_40,i5) = e_49
| i5 = i4 ),
inference(spm,[status(thm)],[c_0_160,c_0_67]) ).
cnf(c_0_169,hypothesis,
( e_49 = e_47
| e_51 = e_49 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_161]),c_0_133]) ).
cnf(c_0_170,hypothesis,
( e_49 = e_47
| e_51 = e_47 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_161]),c_0_132]) ).
cnf(c_0_171,hypothesis,
( select(a_38,i5) = e_47
| i5 = i3
| i5 = i4 ),
inference(spm,[status(thm)],[c_0_163,c_0_71]) ).
cnf(c_0_172,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3
| i5 != i1 ),
inference(ef,[status(thm)],[c_0_164]) ).
cnf(c_0_173,hypothesis,
select(a_32,i1) = e_31,
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_174,hypothesis,
select(a_34,i1) = e_33,
inference(spm,[status(thm)],[c_0_37,c_0_56]) ).
cnf(c_0_175,hypothesis,
( select(a_56,i3) = e_39
| i4 = i3
| i7 = i3
| i6 = i3
| i5 = i3 ),
inference(spm,[status(thm)],[c_0_165,c_0_77]) ).
cnf(c_0_176,hypothesis,
( select(a_56,i3) = e_41
| i4 = i3
| i6 = i3
| i7 = i3
| i5 = i3 ),
inference(spm,[status(thm)],[c_0_166,c_0_72]) ).
cnf(c_0_177,hypothesis,
select(a_36,i2) = e_35,
inference(spm,[status(thm)],[c_0_37,c_0_75]) ).
cnf(c_0_178,hypothesis,
select(a_38,i2) = e_37,
inference(spm,[status(thm)],[c_0_37,c_0_70]) ).
cnf(c_0_179,hypothesis,
( e_45 = e_43
| i6 = i4
| i5 = i4
| e_55 = e_45 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_167]),c_0_151]) ).
cnf(c_0_180,hypothesis,
( e_45 = e_43
| i6 = i4
| i5 = i4
| e_55 = e_43 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_167]),c_0_150]) ).
cnf(c_0_181,hypothesis,
( select(a_36,i5) = e_49
| i5 = i3
| i5 = i4 ),
inference(spm,[status(thm)],[c_0_168,c_0_76]) ).
cnf(c_0_182,hypothesis,
e_49 = e_47,
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_183,hypothesis,
( select(a_34,i5) = e_47
| i5 = i2
| i5 = i4
| i5 = i3 ),
inference(spm,[status(thm)],[c_0_171,c_0_80]) ).
cnf(c_0_184,hypothesis,
( select(a_34,i5) = e_61
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_164]),c_0_172]) ).
cnf(c_0_185,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3
| i5 != i3 ),
inference(ef,[status(thm)],[c_0_164]) ).
cnf(c_0_186,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3
| i5 != i4 ),
inference(ef,[status(thm)],[c_0_164]) ).
cnf(c_0_187,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3
| i5 != i2 ),
inference(ef,[status(thm)],[c_0_164]) ).
cnf(c_0_188,hypothesis,
( select(a_56,i1) = e_31
| i2 = i1
| i4 = i1
| i7 = i1
| i6 = i1
| i5 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_173,c_0_90]) ).
cnf(c_0_189,hypothesis,
( select(a_56,i1) = e_33
| i2 = i1
| i4 = i1
| i6 = i1
| i7 = i1
| i5 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_174,c_0_88]) ).
cnf(c_0_190,hypothesis,
( i5 = i3
| i6 = i3
| i7 = i3
| i4 = i3
| e_41 = e_39 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_191,hypothesis,
( select(a_56,i2) = e_35
| i3 = i2
| i5 = i2
| i6 = i2
| i7 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_177,c_0_84]) ).
cnf(c_0_192,hypothesis,
( select(a_56,i2) = e_37
| i3 = i2
| i5 = i2
| i7 = i2
| i6 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_178,c_0_81]) ).
cnf(c_0_193,hypothesis,
( i5 = i4
| i6 = i4
| e_45 = e_43 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_194,hypothesis,
( select(a_44,i6) = e_51
| i6 = i5 ),
inference(rw,[status(thm)],[c_0_127,c_0_135]) ).
cnf(c_0_195,hypothesis,
( select(a_36,i5) = e_47
| i5 = i4
| i5 = i3 ),
inference(rw,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_196,hypothesis,
( i_59 = i3
| i_59 = i4
| i_59 = i2
| i_59 = i1
| e_61 = e_47 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_186]),c_0_187]) ).
cnf(c_0_197,hypothesis,
( select(a_34,i7) = e_55
| i7 = i3
| i7 = i4
| i7 = i6
| i7 = i5
| i7 = i2 ),
inference(spm,[status(thm)],[c_0_80,c_0_110]) ).
cnf(c_0_198,hypothesis,
( i3 = i1
| i5 = i1
| i6 = i1
| i7 = i1
| i4 = i1
| i2 = i1
| e_33 = e_31 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_199,hypothesis,
( e_41 = e_39
| i5 = i3
| i6 = i3
| i4 = i3
| e_55 = e_41 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_190]),c_0_166]) ).
cnf(c_0_200,hypothesis,
( e_41 = e_39
| i5 = i3
| i6 = i3
| i4 = i3
| e_55 = e_39 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_190]),c_0_165]) ).
cnf(c_0_201,hypothesis,
( i4 = i2
| i7 = i2
| i6 = i2
| i5 = i2
| i3 = i2
| e_37 = e_35 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_202,hypothesis,
( e_45 = e_43
| i5 = i4
| e_51 = e_45 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_193]),c_0_151]) ).
cnf(c_0_203,hypothesis,
( e_45 = e_43
| i5 = i4
| e_51 = e_43 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_193]),c_0_150]) ).
cnf(c_0_204,hypothesis,
e_43 = select(a_42,i4),
hyp20 ).
cnf(c_0_205,hypothesis,
( select(a_32,i5) = e_47
| i5 = i3
| i5 = i4
| i5 = i2 ),
inference(spm,[status(thm)],[c_0_83,c_0_195]) ).
cnf(c_0_206,hypothesis,
( select(a_32,i5) = e_60
| i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_164]),c_0_172]) ).
cnf(c_0_207,negated_conjecture,
( i_59 = i1
| i_59 = i2
| i_59 = i4
| i_59 = i3
| e_60 != e_47 ),
inference(spm,[status(thm)],[c_0_97,c_0_196]) ).
cnf(c_0_208,hypothesis,
( e_33 = e_31
| i2 = i1
| i5 = i1
| i6 = i1
| i4 = i1
| i3 = i1
| e_55 = e_33 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_174]) ).
cnf(c_0_209,hypothesis,
( e_33 = e_31
| i2 = i1
| i5 = i1
| i6 = i1
| i4 = i1
| i3 = i1
| e_55 = e_31 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_198]),c_0_173]) ).
cnf(c_0_210,hypothesis,
( i4 = i3
| i6 = i3
| i5 = i3
| e_41 = e_39 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_211,hypothesis,
( e_37 = e_35
| i3 = i2
| i4 = i2
| i6 = i2
| i5 = i2
| e_55 = e_37 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_201]),c_0_178]) ).
cnf(c_0_212,hypothesis,
( e_37 = e_35
| i3 = i2
| i4 = i2
| i6 = i2
| i5 = i2
| e_55 = e_35 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_201]),c_0_177]) ).
cnf(c_0_213,hypothesis,
e_45 = select(a_40,i4),
hyp21 ).
cnf(c_0_214,hypothesis,
( i5 = i4
| e_45 = e_43 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_215,hypothesis,
select(a_44,i5) = e_47,
inference(rw,[status(thm)],[c_0_160,c_0_182]) ).
cnf(c_0_216,hypothesis,
( select(a_38,i4) = e_43
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_204,c_0_71]) ).
cnf(c_0_217,hypothesis,
( i_59 = i3
| i_59 = i4
| i_59 = i2
| i_59 = i1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_187]),c_0_186]),c_0_185]),c_0_207]) ).
cnf(c_0_218,hypothesis,
( i3 = i1
| i4 = i1
| i6 = i1
| i5 = i1
| i2 = i1
| e_33 = e_31 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_219,hypothesis,
( e_41 = e_39
| i5 = i3
| i4 = i3
| e_51 = e_41 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_210]),c_0_166]) ).
cnf(c_0_220,hypothesis,
( e_41 = e_39
| i4 = i3
| i5 = i3
| e_51 = e_39 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_210]),c_0_165]) ).
cnf(c_0_221,hypothesis,
( i5 = i2
| i6 = i2
| i4 = i2
| i3 = i2
| e_37 = e_35 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_222,hypothesis,
( select(a_36,i4) = e_45
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_213,c_0_76]) ).
cnf(c_0_223,hypothesis,
( e_45 = e_43
| e_47 = e_45 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_214]),c_0_151]) ).
cnf(c_0_224,hypothesis,
( e_45 = e_43
| e_47 = e_43 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_214]),c_0_150]) ).
cnf(c_0_225,hypothesis,
( select(a_34,i4) = e_43
| i4 = i2
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_216,c_0_80]) ).
cnf(c_0_226,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i3
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_217]) ).
cnf(c_0_227,hypothesis,
( e_33 = e_31
| i2 = i1
| i3 = i1
| i5 = i1
| i4 = i1
| e_51 = e_33 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_218]),c_0_174]) ).
cnf(c_0_228,hypothesis,
( e_33 = e_31
| i2 = i1
| i4 = i1
| i5 = i1
| i3 = i1
| e_51 = e_31 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_218]),c_0_173]) ).
cnf(c_0_229,hypothesis,
( i4 = i3
| i5 = i3
| e_41 = e_39 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_230,hypothesis,
( select(a_40,i5) = e_47
| i5 = i4 ),
inference(rw,[status(thm)],[c_0_168,c_0_182]) ).
cnf(c_0_231,hypothesis,
( e_37 = e_35
| i4 = i2
| i5 = i2
| i3 = i2
| e_51 = e_37 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_221]),c_0_178]) ).
cnf(c_0_232,hypothesis,
( e_37 = e_35
| i3 = i2
| i5 = i2
| i4 = i2
| e_51 = e_35 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_221]),c_0_177]) ).
cnf(c_0_233,hypothesis,
( select(a_32,i4) = e_45
| i4 = i2
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_222,c_0_83]) ).
cnf(c_0_234,hypothesis,
e_45 = e_43,
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_235,hypothesis,
( select(store(store(a_34,X1,e_43),i4,select(a_34,X1)),X1) = e_43
| i4 = i3
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_64,c_0_225]) ).
cnf(c_0_236,hypothesis,
( select(a_34,i4) = e_61
| i_59 = i1
| i_59 = i2
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_217]),c_0_226]) ).
cnf(c_0_237,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i3
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_217]) ).
cnf(c_0_238,hypothesis,
( i_59 = i1
| i_59 = i2
| i_59 = i3
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_217]) ).
cnf(c_0_239,hypothesis,
( i4 = i1
| i5 = i1
| i3 = i1
| i2 = i1
| e_33 = e_31 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_240,hypothesis,
( e_41 = e_39
| i4 = i3
| e_47 = e_41 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_229]),c_0_166]) ).
cnf(c_0_241,hypothesis,
( e_41 = e_39
| i4 = i3
| e_47 = e_39 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_229]),c_0_165]) ).
cnf(c_0_242,hypothesis,
( i3 = i2
| i5 = i2
| i4 = i2
| e_37 = e_35 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_243,hypothesis,
e_39 = select(a_38,i3),
hyp18 ).
cnf(c_0_244,hypothesis,
( select(a_32,i4) = e_43
| i4 = i3
| i4 = i2 ),
inference(rw,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_245,hypothesis,
( i_59 = i3
| i_59 = i2
| i_59 = i1
| e_61 = e_43 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_37]),c_0_237]),c_0_238]) ).
cnf(c_0_246,hypothesis,
( e_33 = e_31
| i3 = i1
| i4 = i1
| i2 = i1
| e_47 = e_33 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_239]),c_0_174]) ).
cnf(c_0_247,hypothesis,
( e_33 = e_31
| i2 = i1
| i4 = i1
| i3 = i1
| e_47 = e_31 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_239]),c_0_173]) ).
cnf(c_0_248,hypothesis,
( i4 = i3
| e_41 = e_39 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_249,hypothesis,
select(a_40,i4) = e_43,
inference(rw,[status(thm)],[c_0_213,c_0_234]) ).
cnf(c_0_250,hypothesis,
( e_37 = e_35
| i4 = i2
| i3 = i2
| e_47 = e_37 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_242]),c_0_178]) ).
cnf(c_0_251,hypothesis,
( e_37 = e_35
| i3 = i2
| i4 = i2
| e_47 = e_35 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_242]),c_0_177]) ).
cnf(c_0_252,hypothesis,
e_41 = select(a_36,i3),
hyp19 ).
cnf(c_0_253,hypothesis,
( select(a_34,i3) = e_39
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_243,c_0_80]) ).
cnf(c_0_254,hypothesis,
( select(store(store(a_32,X1,e_43),i4,select(a_32,X1)),X1) = e_43
| i4 = i2
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_64,c_0_244]) ).
cnf(c_0_255,hypothesis,
( select(a_32,i4) = e_60
| i_59 = i1
| i_59 = i2
| i_59 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_217]),c_0_226]) ).
cnf(c_0_256,negated_conjecture,
( i_59 = i1
| i_59 = i2
| i_59 = i3
| e_60 != e_43 ),
inference(spm,[status(thm)],[c_0_97,c_0_245]) ).
cnf(c_0_257,hypothesis,
( i2 = i1
| i4 = i1
| i3 = i1
| e_33 = e_31 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_258,hypothesis,
( e_41 = e_39
| e_43 = e_41 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_248]),c_0_166]) ).
cnf(c_0_259,hypothesis,
( e_41 = e_39
| e_43 = e_39 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_248]),c_0_165]) ).
cnf(c_0_260,hypothesis,
( i3 = i2
| i4 = i2
| e_37 = e_35 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_261,hypothesis,
( select(a_36,i4) = e_43
| i4 = i3 ),
inference(rw,[status(thm)],[c_0_222,c_0_234]) ).
cnf(c_0_262,hypothesis,
( select(a_32,i3) = e_41
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_252,c_0_83]) ).
cnf(c_0_263,hypothesis,
select(store(store(a2,X1,e_61),i_59,select(a2,X1)),X1) = e_61,
inference(spm,[status(thm)],[c_0_64,c_0_74]) ).
cnf(c_0_264,hypothesis,
( select(a2,i3) = e_39
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_65,c_0_253]) ).
cnf(c_0_265,hypothesis,
( i_59 = i3
| i_59 = i2
| i_59 = i1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_37]),c_0_238]),c_0_237]),c_0_256]) ).
cnf(c_0_266,hypothesis,
( e_33 = e_31
| i3 = i1
| i2 = i1
| e_43 = e_33 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_257]),c_0_174]) ).
cnf(c_0_267,hypothesis,
( e_33 = e_31
| i2 = i1
| i3 = i1
| e_43 = e_31 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_257]),c_0_173]) ).
cnf(c_0_268,hypothesis,
e_41 = e_39,
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_269,hypothesis,
( e_37 = e_35
| i3 = i2
| e_43 = e_37 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_260]),c_0_178]) ).
cnf(c_0_270,hypothesis,
( e_37 = e_35
| i3 = i2
| e_43 = e_35 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_260]),c_0_177]) ).
cnf(c_0_271,hypothesis,
( select(a1,i3) = e_41
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_69,c_0_262]) ).
cnf(c_0_272,hypothesis,
( select(store(store(a2,i3,e_61),i_59,e_39),i3) = e_61
| i3 = i1
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_273,hypothesis,
( i_59 = i1
| i_59 = i2
| i3 != i2 ),
inference(ef,[status(thm)],[c_0_265]) ).
cnf(c_0_274,hypothesis,
( i_59 = i1
| i_59 = i2
| i3 != i1 ),
inference(ef,[status(thm)],[c_0_265]) ).
cnf(c_0_275,hypothesis,
( i2 = i1
| i3 = i1
| e_33 = e_31 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_276,hypothesis,
( select(a_32,i3) = e_39
| i3 = i2 ),
inference(rw,[status(thm)],[c_0_262,c_0_268]) ).
cnf(c_0_277,hypothesis,
( i3 = i2
| e_37 = e_35 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_278,hypothesis,
select(a_36,i3) = e_39,
inference(rw,[status(thm)],[c_0_252,c_0_268]) ).
cnf(c_0_279,hypothesis,
select(store(store(a1,X1,e_60),i_59,select(a1,X1)),X1) = e_60,
inference(spm,[status(thm)],[c_0_64,c_0_79]) ).
cnf(c_0_280,hypothesis,
( select(a1,i3) = e_39
| i3 = i1
| i3 = i2 ),
inference(rw,[status(thm)],[c_0_271,c_0_268]) ).
cnf(c_0_281,hypothesis,
( i_59 = i1
| i_59 = i2
| e_61 = e_39 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_265]),c_0_37]),c_0_273]),c_0_274]) ).
cnf(c_0_282,hypothesis,
( e_33 = e_31
| i2 = i1
| e_39 = e_33 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_275]),c_0_174]) ).
cnf(c_0_283,hypothesis,
( e_33 = e_31
| i2 = i1
| e_39 = e_31 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_275]),c_0_173]) ).
cnf(c_0_284,hypothesis,
select(store(store(a_32,X1,e_31),i1,select(a_32,X1)),X1) = e_31,
inference(spm,[status(thm)],[c_0_64,c_0_173]) ).
cnf(c_0_285,hypothesis,
e_37 = select(a_32,i2),
hyp17 ).
cnf(c_0_286,hypothesis,
( e_37 = e_35
| e_39 = e_37 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_277]),c_0_178]) ).
cnf(c_0_287,hypothesis,
( e_37 = e_35
| e_39 = e_35 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_277]),c_0_177]) ).
cnf(c_0_288,hypothesis,
( select(store(store(a1,i3,e_60),i_59,e_39),i3) = e_60
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_289,negated_conjecture,
( i_59 = i2
| i_59 = i1
| e_60 != e_39 ),
inference(spm,[status(thm)],[c_0_97,c_0_281]) ).
cnf(c_0_290,hypothesis,
e_35 = select(a_34,i2),
hyp16 ).
cnf(c_0_291,hypothesis,
( i2 = i1
| e_33 = e_31 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_292,hypothesis,
select(store(store(a_32,i2,e_31),i1,e_37),i2) = e_31,
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_293,hypothesis,
e_37 = e_35,
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_294,hypothesis,
( i_59 = i1
| i_59 = i2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_265]),c_0_37]),c_0_274]),c_0_273]),c_0_289]) ).
cnf(c_0_295,hypothesis,
( e_33 = e_31
| e_35 = e_33 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_174]) ).
cnf(c_0_296,hypothesis,
( e_33 = e_31
| e_35 = e_31 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_291]),c_0_293]),c_0_37]) ).
cnf(c_0_297,hypothesis,
select(store(store(a_34,X1,e_35),i2,select(a_34,X1)),X1) = e_35,
inference(spm,[status(thm)],[c_0_64,c_0_290]) ).
cnf(c_0_298,hypothesis,
( i_59 = i1
| i2 != i1 ),
inference(ef,[status(thm)],[c_0_294]) ).
cnf(c_0_299,hypothesis,
e_31 = select(a2,i1),
hyp14 ).
cnf(c_0_300,hypothesis,
e_33 = select(a1,i1),
hyp15 ).
cnf(c_0_301,hypothesis,
e_33 = e_31,
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_302,hypothesis,
( select(store(store(a_34,X1,e_35),i2,select(a2,X1)),X1) = e_35
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_297,c_0_65]) ).
cnf(c_0_303,hypothesis,
( e_61 = e_31
| i2 != i1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_298]),c_0_299]) ).
cnf(c_0_304,hypothesis,
( e_60 = e_31
| i2 != i1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_298]),c_0_300]),c_0_301]) ).
cnf(c_0_305,hypothesis,
( select(store(store(a_34,i_59,e_35),i2,e_61),i_59) = e_35
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_302,c_0_74]) ).
cnf(c_0_306,hypothesis,
store(a_34,i2,e_35) = a_38,
inference(rw,[status(thm)],[c_0_70,c_0_293]) ).
cnf(c_0_307,negated_conjecture,
i2 != i1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_303]),c_0_304]) ).
cnf(c_0_308,hypothesis,
select(store(store(a_32,X1,e_37),i2,select(a_32,X1)),X1) = e_37,
inference(spm,[status(thm)],[c_0_64,c_0_285]) ).
cnf(c_0_309,hypothesis,
( i_59 = i1
| e_61 = e_35 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_294]),c_0_306]),c_0_37]),c_0_307]) ).
cnf(c_0_310,hypothesis,
select(store(store(a_32,X1,e_35),i2,select(a_32,X1)),X1) = e_35,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_293]),c_0_293]) ).
cnf(c_0_311,negated_conjecture,
( i_59 = i1
| e_60 != e_35 ),
inference(spm,[status(thm)],[c_0_97,c_0_309]) ).
cnf(c_0_312,hypothesis,
( select(store(store(a_32,X1,e_35),i2,select(a1,X1)),X1) = e_35
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_310,c_0_69]) ).
cnf(c_0_313,hypothesis,
( e_61 = e_31
| e_60 != e_35 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_311]),c_0_299]) ).
cnf(c_0_314,hypothesis,
( e_60 = e_31
| e_60 != e_35 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_311]),c_0_300]),c_0_301]) ).
cnf(c_0_315,hypothesis,
( select(store(store(a_32,i_59,e_35),i2,e_60),i_59) = e_35
| i_59 = i1 ),
inference(spm,[status(thm)],[c_0_312,c_0_79]) ).
cnf(c_0_316,negated_conjecture,
e_60 != e_35,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_313]),c_0_314]) ).
cnf(c_0_317,hypothesis,
i_59 = i1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_294]),c_0_75]),c_0_37]),c_0_316]),c_0_307]) ).
cnf(c_0_318,hypothesis,
e_61 = e_31,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_317]),c_0_299]) ).
cnf(c_0_319,negated_conjecture,
e_60 != e_31,
inference(rw,[status(thm)],[c_0_97,c_0_318]) ).
cnf(c_0_320,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_317]),c_0_300]),c_0_301]),c_0_319]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV565-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 10:21:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.55/0.62 start to proof: theBenchmark
% 0.62/0.95 % Version : CSE_E---1.5
% 0.62/0.95 % Problem : theBenchmark.p
% 0.62/0.95 % Proof found
% 0.62/0.95 % SZS status Theorem for theBenchmark.p
% 0.62/0.95 % SZS output start Proof
% See solution above
% 0.62/0.96 % Total time : 0.317000 s
% 0.62/0.96 % SZS output end Proof
% 0.62/0.96 % Total time : 0.319000 s
%------------------------------------------------------------------------------