TSTP Solution File: SWV565-1.004 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV565-1.004 : 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 : n017.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 21:46:51 EDT 2023

% Result   : Unsatisfiable 0.17s 0.65s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    store: ( $i * $i * $i ) > $i ).

tff(decl_23,type,
    select: ( $i * $i ) > $i ).

tff(decl_24,type,
    a_20: $i ).

tff(decl_25,type,
    a1: $i ).

tff(decl_26,type,
    i1: $i ).

tff(decl_27,type,
    e_19: $i ).

tff(decl_28,type,
    a_22: $i ).

tff(decl_29,type,
    a2: $i ).

tff(decl_30,type,
    e_21: $i ).

tff(decl_31,type,
    a_24: $i ).

tff(decl_32,type,
    i2: $i ).

tff(decl_33,type,
    e_23: $i ).

tff(decl_34,type,
    a_26: $i ).

tff(decl_35,type,
    e_25: $i ).

tff(decl_36,type,
    a_28: $i ).

tff(decl_37,type,
    i3: $i ).

tff(decl_38,type,
    e_27: $i ).

tff(decl_39,type,
    a_30: $i ).

tff(decl_40,type,
    e_29: $i ).

tff(decl_41,type,
    a_32: $i ).

tff(decl_42,type,
    i4: $i ).

tff(decl_43,type,
    e_31: $i ).

tff(decl_44,type,
    a_34: $i ).

tff(decl_45,type,
    e_33: $i ).

tff(decl_46,type,
    e_36: $i ).

tff(decl_47,type,
    i_35: $i ).

tff(decl_48,type,
    e_37: $i ).

tff(decl_49,type,
    sk: ( $i * $i ) > $i ).

cnf(hyp7,hypothesis,
    a_34 = store(a_30,i4,e_33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

cnf(hyp19,hypothesis,
    a_32 = a_34,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

cnf(a1,axiom,
    select(store(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

cnf(hyp6,hypothesis,
    a_32 = store(a_28,i4,e_31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

cnf(a2,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).

cnf(hyp4,hypothesis,
    a_28 = store(a_24,i3,e_27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

cnf(hyp5,hypothesis,
    a_30 = store(a_26,i3,e_29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

cnf(hyp2,hypothesis,
    a_24 = store(a_20,i2,e_23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

cnf(hyp3,hypothesis,
    a_26 = store(a_22,i2,e_25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

cnf(hyp0,hypothesis,
    a_20 = store(a1,i1,e_19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

cnf(hyp1,hypothesis,
    a_22 = store(a2,i1,e_21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

cnf(hyp16,hypothesis,
    e_36 = select(a1,i_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

cnf(hyp17,hypothesis,
    e_37 = select(a2,i_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

cnf(goal,negated_conjecture,
    e_36 != e_37,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(hyp12,hypothesis,
    e_27 = select(a_26,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

cnf(hyp13,hypothesis,
    e_29 = select(a_24,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

cnf(hyp15,hypothesis,
    e_33 = select(a_28,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

cnf(hyp14,hypothesis,
    e_31 = select(a_30,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

cnf(hyp10,hypothesis,
    e_23 = select(a_22,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

cnf(hyp11,hypothesis,
    e_25 = select(a_20,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

cnf(hyp8,hypothesis,
    e_19 = select(a2,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

cnf(hyp9,hypothesis,
    e_21 = select(a1,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

cnf(c_0_22,hypothesis,
    a_34 = store(a_30,i4,e_33),
    hyp7 ).

cnf(c_0_23,hypothesis,
    a_32 = a_34,
    hyp19 ).

cnf(c_0_24,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_25,hypothesis,
    a_32 = store(a_28,i4,e_31),
    hyp6 ).

cnf(c_0_26,hypothesis,
    store(a_30,i4,e_33) = a_32,
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,hypothesis,
    select(a_32,i4) = e_31,
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,hypothesis,
    e_33 = e_31,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_26]),c_0_27]) ).

cnf(c_0_29,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    a2 ).

cnf(c_0_30,hypothesis,
    store(a_30,i4,e_31) = a_32,
    inference(rw,[status(thm)],[c_0_26,c_0_28]) ).

cnf(c_0_31,hypothesis,
    a_28 = store(a_24,i3,e_27),
    hyp4 ).

cnf(c_0_32,hypothesis,
    ( select(a_32,X1) = select(a_28,X1)
    | i4 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_33,hypothesis,
    ( select(a_32,X1) = select(a_30,X1)
    | i4 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,hypothesis,
    a_30 = store(a_26,i3,e_29),
    hyp5 ).

cnf(c_0_35,hypothesis,
    ( select(a_28,X1) = select(a_24,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_31]) ).

cnf(c_0_36,hypothesis,
    ( select(a_28,X1) = select(a_30,X1)
    | i4 = X1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,hypothesis,
    a_24 = store(a_20,i2,e_23),
    hyp2 ).

cnf(c_0_38,hypothesis,
    ( select(a_30,X1) = select(a_26,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_34]) ).

cnf(c_0_39,hypothesis,
    ( select(a_30,X1) = select(a_24,X1)
    | i4 = X1
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,hypothesis,
    a_26 = store(a_22,i2,e_25),
    hyp3 ).

cnf(c_0_41,hypothesis,
    ( select(a_24,X1) = select(a_20,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_37]) ).

cnf(c_0_42,hypothesis,
    ( select(a_24,X1) = select(a_26,X1)
    | i4 = X1
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,hypothesis,
    a_20 = store(a1,i1,e_19),
    hyp0 ).

cnf(c_0_44,hypothesis,
    ( select(a_26,X1) = select(a_22,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_40]) ).

cnf(c_0_45,hypothesis,
    ( select(a_26,X1) = select(a_20,X1)
    | i3 = X1
    | i4 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,hypothesis,
    a_22 = store(a2,i1,e_21),
    hyp1 ).

cnf(c_0_47,hypothesis,
    ( select(a_20,X1) = select(a1,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_43]) ).

cnf(c_0_48,hypothesis,
    ( select(a_20,X1) = select(a_22,X1)
    | i4 = X1
    | i3 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,hypothesis,
    ( select(a_22,X1) = select(a2,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_46]) ).

cnf(c_0_50,hypothesis,
    ( select(a_22,X1) = select(a1,X1)
    | i2 = X1
    | i3 = X1
    | i4 = X1
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,hypothesis,
    e_36 = select(a1,i_35),
    hyp16 ).

cnf(c_0_52,hypothesis,
    ( select(a1,X1) = select(a2,X1)
    | i4 = X1
    | i3 = X1
    | i2 = X1
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,hypothesis,
    e_37 = select(a2,i_35),
    hyp17 ).

cnf(c_0_54,negated_conjecture,
    e_36 != e_37,
    goal ).

cnf(c_0_55,hypothesis,
    e_27 = select(a_26,i3),
    hyp12 ).

cnf(c_0_56,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i_35 = i3
    | i_35 = i4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).

cnf(c_0_57,hypothesis,
    ( select(a_22,i3) = e_27
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_55,c_0_44]) ).

cnf(c_0_58,hypothesis,
    ( i_35 = i3
    | i_35 = i2
    | i_35 = i1
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_56]) ).

cnf(c_0_59,hypothesis,
    e_29 = select(a_24,i3),
    hyp13 ).

cnf(c_0_60,hypothesis,
    ( i_35 = i3
    | i_35 = i2
    | i_35 = i1
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_56]) ).

cnf(c_0_61,hypothesis,
    ( select(a2,i3) = e_27
    | i3 = i2
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_49,c_0_57]) ).

cnf(c_0_62,hypothesis,
    ( select(a2,i3) = e_37
    | i_35 = i1
    | i_35 = i2
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_53,c_0_58]) ).

cnf(c_0_63,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i3 != i1
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_58]) ).

cnf(c_0_64,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i3 != i2
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_58]) ).

cnf(c_0_65,hypothesis,
    ( select(a_20,i3) = e_29
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_59,c_0_41]) ).

cnf(c_0_66,hypothesis,
    ( select(a2,i3) = e_37
    | i_35 = i1
    | i_35 = i2
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_60]) ).

cnf(c_0_67,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i3 != i1
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_60]) ).

cnf(c_0_68,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i3 != i2
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_60]) ).

cnf(c_0_69,hypothesis,
    e_33 = select(a_28,i4),
    hyp15 ).

cnf(c_0_70,hypothesis,
    e_31 = select(a_30,i4),
    hyp14 ).

cnf(c_0_71,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_37 = e_27
    | i4 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).

cnf(c_0_72,hypothesis,
    ( select(a1,i3) = e_29
    | i3 = i2
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_47,c_0_65]) ).

cnf(c_0_73,hypothesis,
    ( select(a1,i3) = e_36
    | i_35 = i1
    | i_35 = i2
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_51,c_0_58]) ).

cnf(c_0_74,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_37 = e_27
    | i4 != i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_66]),c_0_67]),c_0_68]) ).

cnf(c_0_75,hypothesis,
    ( select(a1,i3) = e_36
    | i_35 = i1
    | i_35 = i2
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_51,c_0_60]) ).

cnf(c_0_76,hypothesis,
    select(a_28,i4) = e_31,
    inference(rw,[status(thm)],[c_0_69,c_0_28]) ).

cnf(c_0_77,hypothesis,
    ( select(a_26,i4) = e_31
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_38]) ).

cnf(c_0_78,negated_conjecture,
    ( i_35 = i1
    | i_35 = i2
    | e_36 != e_27
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_71]) ).

cnf(c_0_79,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_36 = e_29
    | i4 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63]),c_0_64]) ).

cnf(c_0_80,hypothesis,
    select(a_28,i3) = e_27,
    inference(spm,[status(thm)],[c_0_24,c_0_31]) ).

cnf(c_0_81,hypothesis,
    select(a_30,i3) = e_29,
    inference(spm,[status(thm)],[c_0_24,c_0_34]) ).

cnf(c_0_82,negated_conjecture,
    ( i_35 = i1
    | i_35 = i2
    | e_36 != e_27
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_54,c_0_74]) ).

cnf(c_0_83,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_36 = e_29
    | i4 != i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_75]),c_0_67]),c_0_68]) ).

cnf(c_0_84,hypothesis,
    ( select(a_24,i4) = e_31
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_35]) ).

cnf(c_0_85,hypothesis,
    ( select(a_22,i4) = e_31
    | i4 = i2
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_77,c_0_44]) ).

cnf(c_0_86,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_29 != e_27
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_87,hypothesis,
    ( i4 = i3
    | e_29 = e_27 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_36]),c_0_81]) ).

cnf(c_0_88,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_29 != e_27
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_89,hypothesis,
    ( select(a_20,i4) = e_31
    | i4 = i2
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_84,c_0_41]) ).

cnf(c_0_90,hypothesis,
    ( select(a2,i4) = e_31
    | i4 = i3
    | i4 = i2
    | i4 = i1 ),
    inference(spm,[status(thm)],[c_0_49,c_0_85]) ).

cnf(c_0_91,hypothesis,
    ( select(a2,i4) = e_37
    | i_35 = i3
    | i_35 = i2
    | i_35 = i1 ),
    inference(spm,[status(thm)],[c_0_53,c_0_56]) ).

cnf(c_0_92,hypothesis,
    ( i4 = i3
    | i_35 = i1
    | i_35 = i2
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_93,hypothesis,
    ( i4 = i3
    | i_35 = i1
    | i_35 = i2
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_88,c_0_87]) ).

cnf(c_0_94,hypothesis,
    ( i_35 = i3
    | i_35 = i2
    | i_35 = i1
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_56]) ).

cnf(c_0_95,hypothesis,
    ( select(a1,i4) = e_31
    | i4 = i3
    | i4 = i2
    | i4 = i1 ),
    inference(spm,[status(thm)],[c_0_47,c_0_89]) ).

cnf(c_0_96,hypothesis,
    ( select(a1,i4) = e_36
    | i_35 = i3
    | i_35 = i2
    | i_35 = i1 ),
    inference(spm,[status(thm)],[c_0_51,c_0_56]) ).

cnf(c_0_97,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i_35 = i3
    | e_37 = e_31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]),c_0_94]) ).

cnf(c_0_98,hypothesis,
    ( i_35 = i1
    | i_35 = i2
    | i_35 = i3
    | e_36 = e_31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_92]),c_0_93]),c_0_94]) ).

cnf(c_0_99,negated_conjecture,
    ( i_35 = i3
    | i_35 = i2
    | i_35 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_97]),c_0_98]) ).

cnf(c_0_100,hypothesis,
    ( select(a2,i3) = e_37
    | i_35 = i1
    | i_35 = i2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    ( i_35 = i1
    | i_35 = i2
    | i3 != i1 ),
    inference(ef,[status(thm)],[c_0_99]) ).

cnf(c_0_102,negated_conjecture,
    ( i_35 = i1
    | i_35 = i2
    | i3 != i2 ),
    inference(ef,[status(thm)],[c_0_99]) ).

cnf(c_0_103,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_37 = e_27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_100]),c_0_101]),c_0_102]) ).

cnf(c_0_104,hypothesis,
    ( select(a1,i3) = e_36
    | i_35 = i1
    | i_35 = i2 ),
    inference(spm,[status(thm)],[c_0_51,c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    ( i_35 = i1
    | i_35 = i2
    | e_36 != e_27 ),
    inference(spm,[status(thm)],[c_0_54,c_0_103]) ).

cnf(c_0_106,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_36 = e_29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_104]),c_0_101]),c_0_102]) ).

cnf(c_0_107,hypothesis,
    ( i_35 = i2
    | i_35 = i1
    | e_29 != e_27 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_108,hypothesis,
    e_23 = select(a_22,i2),
    hyp10 ).

cnf(c_0_109,hypothesis,
    ( i4 = i3
    | i_35 = i1
    | i_35 = i2 ),
    inference(spm,[status(thm)],[c_0_107,c_0_87]) ).

cnf(c_0_110,hypothesis,
    ( select(a2,i2) = e_23
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_108,c_0_49]) ).

cnf(c_0_111,hypothesis,
    ( select(a2,i2) = e_37
    | i_35 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_53,c_0_109]) ).

cnf(c_0_112,hypothesis,
    ( i_35 = i1
    | i4 = i3
    | i2 != i1 ),
    inference(ef,[status(thm)],[c_0_109]) ).

cnf(c_0_113,hypothesis,
    e_25 = select(a_20,i2),
    hyp11 ).

cnf(c_0_114,hypothesis,
    ( i4 = i3
    | i_35 = i1
    | e_37 = e_23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).

cnf(c_0_115,hypothesis,
    ( select(a1,i2) = e_25
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_113,c_0_47]) ).

cnf(c_0_116,hypothesis,
    ( select(a1,i2) = e_36
    | i_35 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_109]) ).

cnf(c_0_117,negated_conjecture,
    ( i_35 = i1
    | i4 = i3
    | e_36 != e_23 ),
    inference(spm,[status(thm)],[c_0_54,c_0_114]) ).

cnf(c_0_118,hypothesis,
    ( i4 = i3
    | i_35 = i1
    | e_36 = e_25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_112]) ).

cnf(c_0_119,hypothesis,
    select(a_24,i2) = e_23,
    inference(spm,[status(thm)],[c_0_24,c_0_37]) ).

cnf(c_0_120,hypothesis,
    select(a_26,i2) = e_25,
    inference(spm,[status(thm)],[c_0_24,c_0_40]) ).

cnf(c_0_121,hypothesis,
    ( i4 = i3
    | i_35 = i1
    | e_25 != e_23 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_122,hypothesis,
    ( i3 = i2
    | i4 = i2
    | e_25 = e_23 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_42]),c_0_120]) ).

cnf(c_0_123,hypothesis,
    ( i4 = i2
    | i3 = i2
    | i_35 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_124,hypothesis,
    e_19 = select(a2,i1),
    hyp8 ).

cnf(c_0_125,hypothesis,
    ( i4 = i3
    | i3 = i2
    | i4 = i2
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_123]),c_0_124]) ).

cnf(c_0_126,hypothesis,
    e_21 = select(a1,i1),
    hyp9 ).

cnf(c_0_127,negated_conjecture,
    ( i4 = i2
    | i3 = i2
    | i4 = i3
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_125]) ).

cnf(c_0_128,hypothesis,
    ( i4 = i3
    | i3 = i2
    | i4 = i2
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_123]),c_0_126]) ).

cnf(c_0_129,hypothesis,
    select(a_20,i1) = e_19,
    inference(spm,[status(thm)],[c_0_24,c_0_43]) ).

cnf(c_0_130,hypothesis,
    select(a_22,i1) = e_21,
    inference(spm,[status(thm)],[c_0_24,c_0_46]) ).

cnf(c_0_131,hypothesis,
    ( i4 = i3
    | i3 = i2
    | i4 = i2
    | e_21 != e_19 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_132,hypothesis,
    ( i2 = i1
    | i3 = i1
    | i4 = i1
    | e_21 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_48]),c_0_130]) ).

cnf(c_0_133,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i2 = i1
    | i4 = i2
    | i3 = i2
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_134,hypothesis,
    ( i3 = i2
    | i4 = i2
    | i2 = i1
    | i3 = i1
    | i4 = i1
    | e_31 = e_29 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_133]),c_0_81]) ).

cnf(c_0_135,hypothesis,
    ( i3 = i2
    | i4 = i2
    | i2 = i1
    | i3 = i1
    | i4 = i1
    | e_31 = e_27 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_133]),c_0_80]) ).

cnf(c_0_136,hypothesis,
    ( e_29 = e_27
    | i4 = i1
    | i3 = i1
    | i2 = i1
    | i4 = i2
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_137,hypothesis,
    ( i4 = i2
    | i2 = i1
    | i4 = i1
    | i_35 = i1
    | i_35 = i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_136]),c_0_102]),c_0_101]) ).

cnf(c_0_138,hypothesis,
    ( select(a2,i2) = e_37
    | i_35 = i1
    | i4 = i1
    | i2 = i1
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_137]) ).

cnf(c_0_139,hypothesis,
    ( i4 = i2
    | i4 = i1
    | i_35 = i1
    | i2 = i1
    | e_37 = e_23 ),
    inference(spm,[status(thm)],[c_0_110,c_0_138]) ).

cnf(c_0_140,hypothesis,
    ( select(a1,i2) = e_36
    | i_35 = i1
    | i4 = i1
    | i2 = i1
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_51,c_0_137]) ).

cnf(c_0_141,negated_conjecture,
    ( i2 = i1
    | i_35 = i1
    | i4 = i1
    | i4 = i2
    | e_36 != e_23 ),
    inference(spm,[status(thm)],[c_0_54,c_0_139]) ).

cnf(c_0_142,hypothesis,
    ( i4 = i2
    | i4 = i1
    | i_35 = i1
    | i2 = i1
    | e_36 = e_25 ),
    inference(spm,[status(thm)],[c_0_115,c_0_140]) ).

cnf(c_0_143,hypothesis,
    ( i4 = i2
    | i4 = i1
    | i_35 = i1
    | i2 = i1
    | e_25 != e_23 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_144,hypothesis,
    ( i3 = i2
    | i2 = i1
    | i_35 = i1
    | i4 = i1
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_143,c_0_122]) ).

cnf(c_0_145,hypothesis,
    ( i4 = i2
    | i4 = i1
    | i2 = i1
    | i3 = i2
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_144]),c_0_124]) ).

cnf(c_0_146,negated_conjecture,
    ( i3 = i2
    | i2 = i1
    | i4 = i1
    | i4 = i2
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_145]) ).

cnf(c_0_147,hypothesis,
    ( i4 = i2
    | i4 = i1
    | i2 = i1
    | i3 = i2
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_144]),c_0_126]) ).

cnf(c_0_148,hypothesis,
    ( i4 = i2
    | i4 = i1
    | i2 = i1
    | i3 = i2
    | e_21 != e_19 ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_149,hypothesis,
    ( i3 = i1
    | i3 = i2
    | i2 = i1
    | i4 = i1
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_148,c_0_132]) ).

cnf(c_0_150,hypothesis,
    ( i4 = i1
    | i2 = i1
    | i3 = i1
    | i3 = i2
    | e_31 = e_25 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_149]),c_0_120]) ).

cnf(c_0_151,hypothesis,
    ( i4 = i1
    | i2 = i1
    | i3 = i1
    | i3 = i2
    | e_31 = e_23 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_149]),c_0_119]) ).

cnf(c_0_152,hypothesis,
    ( e_25 = e_23
    | i3 = i2
    | i3 = i1
    | i2 = i1
    | i4 = i1 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_153,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i3 = i2
    | i_35 = i1
    | i4 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_152]),c_0_112]) ).

cnf(c_0_154,hypothesis,
    ( i4 = i3
    | i3 = i2
    | i3 = i1
    | i4 = i1
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_153]),c_0_124]) ).

cnf(c_0_155,negated_conjecture,
    ( i4 = i1
    | i3 = i1
    | i3 = i2
    | i4 = i3
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_154]) ).

cnf(c_0_156,hypothesis,
    ( i4 = i3
    | i3 = i2
    | i3 = i1
    | i4 = i1
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_153]),c_0_126]) ).

cnf(c_0_157,hypothesis,
    ( i4 = i3
    | i3 = i2
    | i3 = i1
    | i4 = i1
    | e_21 != e_19 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_158,hypothesis,
    ( i2 = i1
    | i4 = i1
    | i3 = i1
    | i3 = i2
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_157,c_0_132]) ).

cnf(c_0_159,hypothesis,
    ( i4 = i1
    | i2 = i1
    | i3 = i2
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_149,c_0_158]) ).

cnf(c_0_160,hypothesis,
    ( i3 = i2
    | i3 = i1
    | i2 = i1
    | e_31 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_159]),c_0_130]) ).

cnf(c_0_161,hypothesis,
    ( i3 = i2
    | i3 = i1
    | i2 = i1
    | e_31 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_159]),c_0_129]) ).

cnf(c_0_162,hypothesis,
    ( e_21 = e_19
    | i2 = i1
    | i3 = i1
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_163,hypothesis,
    ( i3 = i1
    | i2 = i1
    | i4 = i2
    | i3 = i2
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_131,c_0_162]) ).

cnf(c_0_164,hypothesis,
    ( i4 = i2
    | i3 = i2
    | i2 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_159,c_0_163]) ).

cnf(c_0_165,hypothesis,
    ( i3 = i1
    | i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_159,c_0_164]) ).

cnf(c_0_166,hypothesis,
    ( i2 = i1
    | i3 = i1
    | e_29 = e_23 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_165]),c_0_119]) ).

cnf(c_0_167,hypothesis,
    ( i2 = i1
    | i3 = i1
    | e_27 = e_25 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_165]),c_0_120]) ).

cnf(c_0_168,hypothesis,
    ( i3 = i1
    | i2 = i1
    | e_27 = e_23
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_87,c_0_166]) ).

cnf(c_0_169,hypothesis,
    ( i4 = i3
    | e_25 = e_23
    | i3 = i1
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_170,hypothesis,
    ( i3 = i1
    | i_35 = i1
    | i4 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_169]),c_0_112]) ).

cnf(c_0_171,hypothesis,
    ( i4 = i3
    | i3 = i1
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_170]),c_0_124]) ).

cnf(c_0_172,negated_conjecture,
    ( i3 = i1
    | i4 = i3
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_171]) ).

cnf(c_0_173,hypothesis,
    ( i4 = i3
    | i3 = i1
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_170]),c_0_126]) ).

cnf(c_0_174,hypothesis,
    ( i4 = i3
    | i3 = i1
    | e_21 != e_19 ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_175,hypothesis,
    ( i4 = i1
    | i2 = i1
    | i3 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_174,c_0_132]) ).

cnf(c_0_176,hypothesis,
    ( select(a2,i2) = e_37
    | i_35 = i1
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_102]) ).

cnf(c_0_177,negated_conjecture,
    ( i_35 = i1
    | i2 != i1
    | i3 != i2 ),
    inference(ef,[status(thm)],[c_0_102]) ).

cnf(c_0_178,hypothesis,
    ( i3 = i1
    | i2 = i1
    | i4 = i1
    | e_31 = e_29 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_175]),c_0_81]) ).

cnf(c_0_179,hypothesis,
    ( i3 = i1
    | i2 = i1
    | i4 = i1
    | e_31 = e_27 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_175]),c_0_80]) ).

cnf(c_0_180,hypothesis,
    ( i_35 = i1
    | e_37 = e_23
    | i3 != i2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_176]),c_0_177]) ).

cnf(c_0_181,hypothesis,
    ( select(a1,i2) = e_36
    | i_35 = i1
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_51,c_0_102]) ).

cnf(c_0_182,hypothesis,
    ( e_29 = e_27
    | i4 = i1
    | i2 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_183,negated_conjecture,
    ( i_35 = i1
    | e_36 != e_23
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_54,c_0_180]) ).

cnf(c_0_184,hypothesis,
    ( i_35 = i1
    | e_36 = e_25
    | i3 != i2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_181]),c_0_177]) ).

cnf(c_0_185,hypothesis,
    ( i4 = i1
    | e_27 = e_23
    | i3 = i1
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_166,c_0_182]) ).

cnf(c_0_186,hypothesis,
    ( i_35 = i1
    | e_25 != e_23
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_187,hypothesis,
    ( i4 = i1
    | e_25 = e_23
    | i3 = i1
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_167,c_0_185]) ).

cnf(c_0_188,hypothesis,
    ( i2 = i1
    | i3 = i1
    | i4 = i1
    | i_35 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_165]) ).

cnf(c_0_189,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i2 = i1
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_188]),c_0_124]) ).

cnf(c_0_190,negated_conjecture,
    ( i2 = i1
    | i3 = i1
    | i4 = i1
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_189]) ).

cnf(c_0_191,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i2 = i1
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_188]),c_0_126]) ).

cnf(c_0_192,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i2 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_132]) ).

cnf(c_0_193,hypothesis,
    ( i3 = i1
    | i2 = i1
    | e_31 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_192]),c_0_130]) ).

cnf(c_0_194,hypothesis,
    ( i3 = i1
    | i2 = i1
    | e_31 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_192]),c_0_129]) ).

cnf(c_0_195,hypothesis,
    ( e_21 = e_19
    | i2 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_196,hypothesis,
    ( i2 = i1
    | i3 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_174,c_0_195]) ).

cnf(c_0_197,hypothesis,
    ( i2 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_192,c_0_196]) ).

cnf(c_0_198,hypothesis,
    ( select(a2,i2) = e_37
    | i_35 = i1
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_53,c_0_101]) ).

cnf(c_0_199,negated_conjecture,
    ( i_35 = i1
    | i2 != i1
    | i3 != i1 ),
    inference(ef,[status(thm)],[c_0_101]) ).

cnf(c_0_200,hypothesis,
    ( i2 = i1
    | e_29 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_197]),c_0_129]) ).

cnf(c_0_201,hypothesis,
    ( i_35 = i1
    | e_37 = e_23
    | i3 != i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_198]),c_0_199]) ).

cnf(c_0_202,hypothesis,
    ( select(a1,i2) = e_36
    | i_35 = i1
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_51,c_0_101]) ).

cnf(c_0_203,hypothesis,
    ( i2 = i1
    | e_27 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_197]),c_0_130]) ).

cnf(c_0_204,hypothesis,
    ( i2 = i1
    | e_27 = e_19
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_87,c_0_200]) ).

cnf(c_0_205,negated_conjecture,
    ( i_35 = i1
    | e_36 != e_23
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_201]) ).

cnf(c_0_206,hypothesis,
    ( i_35 = i1
    | e_36 = e_25
    | i3 != i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_202]),c_0_199]) ).

cnf(c_0_207,hypothesis,
    ( i4 = i3
    | e_21 = e_19
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_208,hypothesis,
    ( i_35 = i1
    | e_25 != e_23
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_209,hypothesis,
    ( i2 = i1
    | i4 = i2
    | i3 = i2
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_131,c_0_207]) ).

cnf(c_0_210,hypothesis,
    ( i4 = i2
    | i3 = i2
    | i_35 = i1
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_208,c_0_122]) ).

cnf(c_0_211,hypothesis,
    ( i3 = i2
    | i4 = i2
    | i2 = i1
    | e_31 = e_29 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_209]),c_0_81]) ).

cnf(c_0_212,hypothesis,
    ( i3 = i2
    | i4 = i2
    | i2 = i1
    | e_31 = e_27 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_209]),c_0_80]) ).

cnf(c_0_213,hypothesis,
    ( i3 = i2
    | i4 = i2
    | e_37 = e_19
    | i3 != i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_210]),c_0_124]) ).

cnf(c_0_214,hypothesis,
    ( e_29 = e_27
    | i2 = i1
    | i4 = i2
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_215,negated_conjecture,
    ( i4 = i2
    | i3 = i2
    | e_36 != e_19
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_213]) ).

cnf(c_0_216,hypothesis,
    ( i3 = i2
    | i4 = i2
    | e_36 = e_21
    | i3 != i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_210]),c_0_126]) ).

cnf(c_0_217,hypothesis,
    ( i3 = i2
    | i4 = i2
    | e_27 = e_19
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_200,c_0_214]) ).

cnf(c_0_218,hypothesis,
    ( i3 = i2
    | i4 = i2
    | e_21 != e_19
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_219,hypothesis,
    ( i4 = i2
    | i3 = i2
    | e_21 = e_19
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_203,c_0_217]) ).

cnf(c_0_220,hypothesis,
    ( i2 = i1
    | i4 = i2
    | i3 = i2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_197]) ).

cnf(c_0_221,hypothesis,
    ( i2 = i1
    | i3 = i2
    | e_31 = e_25 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_220]),c_0_120]) ).

cnf(c_0_222,hypothesis,
    ( i2 = i1
    | i3 = i2
    | e_31 = e_23 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_220]),c_0_119]) ).

cnf(c_0_223,hypothesis,
    ( e_25 = e_23
    | i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_224,hypothesis,
    ( i2 = i1
    | i3 = i2
    | i_35 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_223]),c_0_197]) ).

cnf(c_0_225,hypothesis,
    ( i3 = i2
    | i2 = i1
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_224]),c_0_124]) ).

cnf(c_0_226,negated_conjecture,
    ( i2 = i1
    | i3 = i2
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_225]) ).

cnf(c_0_227,hypothesis,
    ( i3 = i2
    | i2 = i1
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_224]),c_0_126]) ).

cnf(c_0_228,hypothesis,
    ( i3 = i2
    | i2 = i1
    | e_21 != e_19 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_229,hypothesis,
    ( i4 = i3
    | i2 = i1
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_228,c_0_207]) ).

cnf(c_0_230,hypothesis,
    ( i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_220,c_0_229]) ).

cnf(c_0_231,hypothesis,
    ( i4 = i3
    | e_37 = e_19
    | i2 != i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_112]),c_0_124]) ).

cnf(c_0_232,hypothesis,
    i2 = i1,
    inference(spm,[status(thm)],[c_0_197,c_0_230]) ).

cnf(c_0_233,negated_conjecture,
    ( i4 = i3
    | e_36 != e_19
    | i2 != i1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_231]) ).

cnf(c_0_234,hypothesis,
    ( i4 = i3
    | e_36 = e_21
    | i2 != i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_112]),c_0_126]) ).

cnf(c_0_235,hypothesis,
    e_23 = e_21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_232]),c_0_130]) ).

cnf(c_0_236,hypothesis,
    ( i4 = i3
    | e_21 != e_19
    | i2 != i1 ),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_237,hypothesis,
    e_25 = e_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_232]),c_0_129]) ).

cnf(c_0_238,hypothesis,
    ( e_25 = e_21
    | i4 = i1
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_232]),c_0_232]),c_0_235]) ).

cnf(c_0_239,hypothesis,
    ( i4 = i3
    | e_21 != e_19 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_232])]) ).

cnf(c_0_240,hypothesis,
    ( i3 = i1
    | i4 = i1
    | e_21 = e_19 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_241,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_242,hypothesis,
    ( i3 = i1
    | i4 = i1
    | e_31 = e_29 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_241]),c_0_81]) ).

cnf(c_0_243,hypothesis,
    ( i3 = i1
    | i4 = i1
    | e_31 = e_27 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_241]),c_0_80]) ).

cnf(c_0_244,hypothesis,
    ( i_35 = i1
    | e_29 != e_27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_232])]) ).

cnf(c_0_245,hypothesis,
    ( e_29 = e_27
    | i4 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_246,negated_conjecture,
    ( i_35 = i1
    | i3 != i1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_232])]) ).

cnf(c_0_247,hypothesis,
    ( i4 = i1
    | i_35 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).

cnf(c_0_248,hypothesis,
    ( i4 = i1
    | e_37 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_247]),c_0_124]) ).

cnf(c_0_249,negated_conjecture,
    ( i4 = i1
    | e_36 != e_19 ),
    inference(spm,[status(thm)],[c_0_54,c_0_248]) ).

cnf(c_0_250,hypothesis,
    ( i4 = i1
    | e_36 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_247]),c_0_126]) ).

cnf(c_0_251,hypothesis,
    ( i4 = i1
    | e_21 != e_19 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_252,hypothesis,
    ( i3 = i1
    | i4 = i1 ),
    inference(spm,[status(thm)],[c_0_251,c_0_240]) ).

cnf(c_0_253,hypothesis,
    select(a_26,i1) = e_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_232]),c_0_237]) ).

cnf(c_0_254,hypothesis,
    select(a_24,i1) = e_21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_232]),c_0_235]) ).

cnf(c_0_255,hypothesis,
    ( i3 = i1
    | e_31 = e_19 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_252]),c_0_253]) ).

cnf(c_0_256,hypothesis,
    ( i3 = i1
    | e_31 = e_21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_252]),c_0_254]) ).

cnf(c_0_257,hypothesis,
    ( e_21 = e_19
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_258,hypothesis,
    ( e_37 = e_19
    | i2 != i1
    | i3 != i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_199]),c_0_124]) ).

cnf(c_0_259,hypothesis,
    ( i3 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_239,c_0_257]) ).

cnf(c_0_260,negated_conjecture,
    ( e_36 != e_19
    | i2 != i1
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_258]) ).

cnf(c_0_261,hypothesis,
    ( e_36 = e_21
    | i2 != i1
    | i3 != i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_199]),c_0_126]) ).

cnf(c_0_262,hypothesis,
    i3 = i1,
    inference(spm,[status(thm)],[c_0_252,c_0_259]) ).

cnf(c_0_263,hypothesis,
    ( e_21 != e_19
    | i2 != i1
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_264,hypothesis,
    e_27 = e_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_262]),c_0_253]) ).

cnf(c_0_265,hypothesis,
    ( e_21 != e_19
    | i3 != i1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_232])]) ).

cnf(c_0_266,hypothesis,
    e_29 = e_21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_262]),c_0_254]) ).

cnf(c_0_267,hypothesis,
    ( e_29 = e_19
    | i4 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_262]),c_0_264]) ).

cnf(c_0_268,hypothesis,
    e_21 != e_19,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_262])]) ).

cnf(c_0_269,hypothesis,
    i4 = i1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).

cnf(c_0_270,hypothesis,
    select(a_28,i1) = e_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_262]),c_0_264]) ).

cnf(c_0_271,hypothesis,
    select(a_30,i1) = e_21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_262]),c_0_266]) ).

cnf(c_0_272,hypothesis,
    e_31 = e_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_269]),c_0_270]) ).

cnf(c_0_273,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_269]),c_0_271]),c_0_272]),c_0_268]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWV565-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 04:23:43 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.17/0.55  start to proof: theBenchmark
% 0.17/0.65  % Version  : CSE_E---1.5
% 0.17/0.65  % Problem  : theBenchmark.p
% 0.17/0.65  % Proof found
% 0.17/0.65  % SZS status Theorem for theBenchmark.p
% 0.17/0.65  % SZS output start Proof
% See solution above
% 0.17/0.66  % Total time : 0.086000 s
% 0.17/0.66  % SZS output end Proof
% 0.17/0.66  % Total time : 0.089000 s
%------------------------------------------------------------------------------