TSTP Solution File: SWV553-1.004 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV553-1.004 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 05:29:55 EDT 2024

% Result   : Unsatisfiable 2.18s 0.74s
% Output   : CNFRefutation 2.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(a1,axiom,
    select(store(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

cnf(hyp0,hypothesis,
    store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

cnf(a2,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

cnf(goal,negated_conjecture,
    select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_4,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_5,hypothesis,
    store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),
    hyp0 ).

cnf(c_0_6,hypothesis,
    select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4]) ).

cnf(c_0_7,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    a2 ).

cnf(c_0_8,hypothesis,
    store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,hypothesis,
    ( select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),X1) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),X1)
    | i4 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),X1) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),X1)
    | i4 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_9]) ).

cnf(c_0_11,hypothesis,
    ( select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),X1) = select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),X1)
    | i4 = X1
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_10]) ).

cnf(c_0_12,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),X1) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),X1)
    | i4 = X1
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_11]) ).

cnf(c_0_13,hypothesis,
    ( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),X1) = select(store(a1,i1,select(a2,i1)),X1)
    | i3 = X1
    | i4 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_14,hypothesis,
    ( select(store(a1,i1,select(a2,i1)),X1) = select(store(a2,i1,select(a1,i1)),X1)
    | i4 = X1
    | i3 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_16,hypothesis,
    ( select(store(a2,i1,select(a1,i1)),X1) = select(a1,X1)
    | i2 = X1
    | i3 = X1
    | i4 = X1
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
    c_0_15 ).

cnf(c_0_18,hypothesis,
    ( select(a1,X1) = select(a2,X1)
    | i4 = X1
    | i3 = X1
    | i2 = X1
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_16]) ).

cnf(c_0_19,hypothesis,
    ( select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4) = select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i4)
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_20,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | sk(a1,a2) = i3
    | sk(a1,a2) = i4 ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)
    | i4 = i3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_10]),c_0_4]) ).

cnf(c_0_22,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i4) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i4)
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_7,c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( sk(a1,a2) = i3
    | sk(a1,a2) = i2
    | sk(a1,a2) = i1
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_20]) ).

cnf(c_0_24,hypothesis,
    ( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3) = select(store(a1,i1,select(a2,i1)),i3)
    | i4 = i3
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_7,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( sk(a1,a2) = i3
    | sk(a1,a2) = i2
    | sk(a1,a2) = i1
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( sk(a1,a2) = i3
    | sk(a1,a2) = i2
    | sk(a1,a2) = i1
    | select(a1,i4) != select(a2,i4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_20]) ).

cnf(c_0_27,hypothesis,
    ( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i4) = select(store(a1,i1,select(a2,i1)),i4)
    | i4 = i3
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_7,c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | select(a1,i3) != select(a2,i3)
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_23]) ).

cnf(c_0_29,hypothesis,
    ( select(store(a1,i1,select(a2,i1)),i3) = select(store(a2,i1,select(a1,i1)),i3)
    | i4 = i3
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_7,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | i3 != i1
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | i3 != i2
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | select(a1,i3) != select(a2,i3)
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | i3 != i1
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | i3 != i2
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    ( sk(a1,a2) = i3
    | sk(a1,a2) = i2
    | sk(a1,a2) = i1
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | select(a1,i3) != select(a2,i3)
    | select(a1,i4) != select(a2,i4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_26]) ).

cnf(c_0_37,hypothesis,
    ( select(store(a1,i1,select(a2,i1)),i4) = select(store(a2,i1,select(a1,i1)),i4)
    | i4 = i3
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_7,c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_28]) ).

cnf(c_0_39,hypothesis,
    ( select(store(a2,i1,select(a1,i1)),i3) = select(a1,i3)
    | i3 = i2
    | i4 = i3
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | i3 != i1
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_30]) ).

cnf(c_0_41,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | i3 != i2
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_31]) ).

cnf(c_0_42,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | i3 != i1
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | i3 != i2
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_34]) ).

cnf(c_0_45,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | select(a1,i3) != select(a2,i3)
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | select(a1,i4) != select(a2,i4)
    | i3 != i1 ),
    inference(ef,[status(thm)],[c_0_26]) ).

cnf(c_0_47,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | i3 != i1
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_35]) ).

cnf(c_0_48,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | select(a1,i4) != select(a2,i4)
    | i3 != i2 ),
    inference(ef,[status(thm)],[c_0_26]) ).

cnf(c_0_49,negated_conjecture,
    ( sk(a1,a2) = i1
    | sk(a1,a2) = i2
    | i3 != i2
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_35]) ).

cnf(c_0_50,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i3) != select(a2,i3)
    | i2 != i1
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_28]) ).

cnf(c_0_51,negated_conjecture,
    ( sk(a1,a2) = i1
    | i2 != i1
    | i3 != i1
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_30]) ).

cnf(c_0_52,negated_conjecture,
    ( sk(a1,a2) = i1
    | i2 != i1
    | i3 != i2
    | i4 != i1 ),
    inference(ef,[status(thm)],[c_0_31]) ).

cnf(c_0_53,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i3) != select(a2,i3)
    | i2 != i1
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_32]) ).

cnf(c_0_54,negated_conjecture,
    ( sk(a1,a2) = i1
    | i2 != i1
    | i3 != i1
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_33]) ).

cnf(c_0_55,negated_conjecture,
    ( sk(a1,a2) = i1
    | i2 != i1
    | i3 != i2
    | i4 != i2 ),
    inference(ef,[status(thm)],[c_0_34]) ).

cnf(c_0_56,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_57,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | select(a1,i4) != select(a2,i4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_36]) ).

cnf(c_0_58,hypothesis,
    ( select(store(a2,i1,select(a1,i1)),i4) = select(a1,i4)
    | i4 = i2
    | i4 = i3
    | i4 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_37]) ).

cnf(c_0_59,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_38]) ).

cnf(c_0_60,hypothesis,
    ( select(a1,i3) = select(a2,i3)
    | i4 = i3
    | i3 = i2
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_39]) ).

cnf(c_0_61,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i1
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_40]) ).

cnf(c_0_62,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i2
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_41]) ).

cnf(c_0_63,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_42]) ).

cnf(c_0_64,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i1
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_43]) ).

cnf(c_0_65,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i2
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_44]) ).

cnf(c_0_66,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_45]) ).

cnf(c_0_67,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | select(a1,i4) != select(a2,i4)
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_46]) ).

cnf(c_0_68,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | i3 != i1
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_47]) ).

cnf(c_0_69,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | select(a1,i4) != select(a2,i4)
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_48]) ).

cnf(c_0_70,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i2) != select(a2,i2)
    | i3 != i2
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_49]) ).

cnf(c_0_71,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i3) != select(a2,i3)
    | select(a1,i4) != select(a2,i4)
    | i2 != i1 ),
    inference(ef,[status(thm)],[c_0_36]) ).

cnf(c_0_72,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i3) != select(a2,i3)
    | i2 != i1
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_50]) ).

cnf(c_0_73,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i1
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_51]) ).

cnf(c_0_74,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i2
    | i4 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_52]) ).

cnf(c_0_75,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i3) != select(a2,i3)
    | i2 != i1
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_53]) ).

cnf(c_0_76,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i1
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_54]) ).

cnf(c_0_77,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i2
    | i4 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_55]) ).

cnf(c_0_78,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i3) != select(a2,i3)
    | i2 != i1
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_45]) ).

cnf(c_0_79,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i4) != select(a2,i4)
    | i2 != i1
    | i3 != i1 ),
    inference(ef,[status(thm)],[c_0_46]) ).

cnf(c_0_80,negated_conjecture,
    ( sk(a1,a2) = i1
    | i2 != i1
    | i3 != i1
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_47]) ).

cnf(c_0_81,negated_conjecture,
    ( sk(a1,a2) = i1
    | select(a1,i4) != select(a2,i4)
    | i2 != i1
    | i3 != i2 ),
    inference(ef,[status(thm)],[c_0_48]) ).

cnf(c_0_82,negated_conjecture,
    ( sk(a1,a2) = i1
    | i2 != i1
    | i3 != i2
    | i4 != i3 ),
    inference(ef,[status(thm)],[c_0_49]) ).

cnf(c_0_83,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3)),i4)
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_7]) ).

cnf(c_0_84,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | select(a1,i4) != select(a2,i4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_57]) ).

cnf(c_0_85,hypothesis,
    ( select(a1,i4) = select(a2,i4)
    | i4 = i3
    | i4 = i2
    | i4 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_58]) ).

cnf(c_0_86,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i4 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_87,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i4 != i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_64]),c_0_65]) ).

cnf(c_0_88,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3)
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_66]) ).

cnf(c_0_89,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i4) != select(a2,i4)
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_67]) ).

cnf(c_0_90,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i1
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_68]) ).

cnf(c_0_91,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i4) != select(a2,i4)
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_69]) ).

cnf(c_0_92,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i2
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_70]) ).

cnf(c_0_93,hypothesis,
    ( select(store(a1,i1,select(a2,i1)),i2) = select(store(a2,i1,select(a1,i1)),i2)
    | i3 = i2
    | i4 = i2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_4]) ).

cnf(c_0_94,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i3) != select(a2,i3)
    | select(a1,i4) != select(a2,i4)
    | i2 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_71]) ).

cnf(c_0_95,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i4 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_60]),c_0_73]),c_0_74]) ).

cnf(c_0_96,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i4 != i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_60]),c_0_76]),c_0_77]) ).

cnf(c_0_97,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i3) != select(a2,i3)
    | i2 != i1
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_78]) ).

cnf(c_0_98,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i4) != select(a2,i4)
    | i2 != i1
    | i3 != i1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_79]) ).

cnf(c_0_99,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i1
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_80]) ).

cnf(c_0_100,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i4) != select(a2,i4)
    | i2 != i1
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_81]) ).

cnf(c_0_101,negated_conjecture,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i2
    | i4 != i3 ),
    inference(spm,[status(thm)],[c_0_17,c_0_82]) ).

cnf(c_0_102,hypothesis,
    ( select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(a2,i1,select(a1,i1)),i3)),i4)
    | i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_83,c_0_7]) ).

cnf(c_0_103,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | select(a1,i3) != select(a2,i3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87]),c_0_88]) ).

cnf(c_0_104,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_85]),c_0_86]),c_0_87]),c_0_90]) ).

cnf(c_0_105,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2)
    | i3 != i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_85]),c_0_86]),c_0_87]),c_0_92]) ).

cnf(c_0_106,hypothesis,
    ( select(store(a2,i1,select(a1,i1)),i2) = select(a1,i2)
    | i4 = i2
    | i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_93]) ).

cnf(c_0_107,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i3) != select(a2,i3)
    | i2 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_85]),c_0_95]),c_0_96]),c_0_97]) ).

cnf(c_0_108,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_85]),c_0_95]),c_0_96]),c_0_99]) ).

cnf(c_0_109,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | i2 != i1
    | i3 != i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_85]),c_0_95]),c_0_96]),c_0_101]) ).

cnf(c_0_110,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(a2,i1,select(a1,i1)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(a1,i1,select(a2,i1)),i3)),i4)
    | i2 = i1
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_102,c_0_7]) ).

cnf(c_0_111,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_60]),c_0_104]),c_0_105]) ).

cnf(c_0_112,hypothesis,
    ( select(a1,i2) = select(a2,i2)
    | i3 = i2
    | i4 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_106]) ).

cnf(c_0_113,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1)
    | i2 != i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_60]),c_0_108]),c_0_109]) ).

cnf(c_0_114,hypothesis,
    ( select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(store(a1,i1,select(a2,i1)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(a2,i3)),i4)
    | i3 = i1
    | i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_110,c_0_7]) ).

cnf(c_0_115,hypothesis,
    ( i4 = i2
    | i3 = i2
    | i4 = i3
    | select(a1,i1) != select(a2,i1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).

cnf(c_0_116,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i2 = i1
    | i3 = i1
    | i4 = i1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_14]),c_0_4]) ).

cnf(c_0_117,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(a2,i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3,select(a1,i3)),i4)
    | i2 = i1
    | i3 = i2
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_114,c_0_7]) ).

cnf(c_0_118,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i2 = i1
    | i4 = i3
    | i3 = i2
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_119,hypothesis,
    ( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i4) = select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i4)
    | i2 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_22,c_0_7]) ).

cnf(c_0_120,hypothesis,
    ( select(a1,i3) = select(a2,i3)
    | i4 = i2
    | i4 = i1
    | i3 = i1
    | i3 = i2
    | i2 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_4]),c_0_4]) ).

cnf(c_0_121,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i4) = select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i4)
    | i4 = i3
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_119,c_0_7]) ).

cnf(c_0_122,hypothesis,
    ( i2 = i1
    | i3 = i2
    | i3 = i1
    | i4 = i1
    | i4 = i2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_120]),c_0_112]),c_0_116]) ).

cnf(c_0_123,hypothesis,
    ( select(a1,i2) = select(a2,i2)
    | i4 = i1
    | i3 = i1
    | i2 = i1
    | i3 = i2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_4]),c_0_4]) ).

cnf(c_0_124,hypothesis,
    ( i3 = i2
    | i2 = i1
    | i3 = i1
    | i4 = i1
    | i4 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_123]),c_0_116]) ).

cnf(c_0_125,hypothesis,
    ( i4 = i1
    | i3 = i1
    | i3 = i2
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_122,c_0_124]) ).

cnf(c_0_126,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i3 = i2
    | i2 = i1
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_125]),c_0_4]),c_0_4]) ).

cnf(c_0_127,hypothesis,
    ( i3 = i1
    | i2 = i1
    | i4 = i3
    | i3 = i2
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_115,c_0_126]) ).

cnf(c_0_128,hypothesis,
    ( i4 = i2
    | i2 = i1
    | i3 = i2
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_127]) ).

cnf(c_0_129,hypothesis,
    ( select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3) = select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3)
    | i2 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_21,c_0_7]) ).

cnf(c_0_130,hypothesis,
    ( i3 = i2
    | i3 = i1
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_128]) ).

cnf(c_0_131,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3) = select(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i3)
    | i4 = i3
    | i2 = i1 ),
    inference(spm,[status(thm)],[c_0_129,c_0_7]) ).

cnf(c_0_132,hypothesis,
    ( i2 = i1
    | select(a1,i1) != select(a2,i1)
    | select(a1,i2) != select(a2,i2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_130]),c_0_104]) ).

cnf(c_0_133,hypothesis,
    ( select(a1,i2) = select(a2,i2)
    | i3 = i1
    | i2 = i1
    | i4 = i2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_130]),c_0_4]),c_0_4]) ).

cnf(c_0_134,hypothesis,
    ( i4 = i2
    | i3 = i1
    | i2 = i1
    | select(a1,i1) != select(a2,i1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_135,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i2,select(a1,i2)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i2,select(a2,i2)),i4)
    | i3 = i1
    | i2 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_130]),c_0_4]),c_0_4]) ).

cnf(c_0_136,hypothesis,
    ( i4 = i1
    | i2 = i1
    | i3 = i1
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_134,c_0_116]) ).

cnf(c_0_137,hypothesis,
    ( select(a1,i2) = select(a2,i2)
    | i4 = i1
    | i2 = i1
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_4]),c_0_4]) ).

cnf(c_0_138,hypothesis,
    ( i3 = i1
    | i4 = i1
    | i2 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_137]),c_0_116]) ).

cnf(c_0_139,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i2 = i1
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_138]),c_0_4]),c_0_4]) ).

cnf(c_0_140,hypothesis,
    ( i2 = i1
    | i3 = i1
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_134,c_0_139]) ).

cnf(c_0_141,hypothesis,
    ( i2 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_138,c_0_140]) ).

cnf(c_0_142,hypothesis,
    ( i4 = i2
    | i3 = i2
    | i2 = i1
    | select(a1,i1) != select(a2,i1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_112]) ).

cnf(c_0_143,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i2 = i1
    | i4 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_141]),c_0_4]),c_0_4]) ).

cnf(c_0_144,hypothesis,
    ( i4 = i1
    | i2 = i1
    | i3 = i2
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_145,hypothesis,
    ( select(a1,i2) = select(a2,i2)
    | i4 = i1
    | i2 = i1
    | i3 = i2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_144]),c_0_4]),c_0_4]) ).

cnf(c_0_146,hypothesis,
    ( select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i1,select(a1,i1)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(a1,i2)),i1,select(a2,i1)),i4)
    | i2 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_141]),c_0_4]),c_0_4]) ).

cnf(c_0_147,hypothesis,
    ( i3 = i2
    | i4 = i1
    | i2 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_145]),c_0_143]) ).

cnf(c_0_148,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i3 = i2
    | i2 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_4]),c_0_4]) ).

cnf(c_0_149,hypothesis,
    ( i2 = i1
    | i3 = i2
    | i4 = i2 ),
    inference(spm,[status(thm)],[c_0_142,c_0_148]) ).

cnf(c_0_150,hypothesis,
    ( i2 = i1
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_147,c_0_149]) ).

cnf(c_0_151,hypothesis,
    i2 = i1,
    inference(spm,[status(thm)],[c_0_141,c_0_150]) ).

cnf(c_0_152,hypothesis,
    ( i4 = i3
    | select(a1,i1) != select(a2,i1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_151]),c_0_151])]) ).

cnf(c_0_153,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i4 = i1
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_151]),c_0_4]),c_0_151]),c_0_4]),c_0_151]),c_0_151]) ).

cnf(c_0_154,hypothesis,
    ( i3 = i1
    | i4 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_155,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i1,select(a1,i1)),i3) = select(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i3)
    | i4 = i1
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_154]),c_0_4]),c_0_151]),c_0_151]),c_0_4]),c_0_4]),c_0_151]),c_0_151]),c_0_4]) ).

cnf(c_0_156,hypothesis,
    ( select(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i3) = select(store(a1,i1,select(a2,i1)),i3)
    | i4 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_155]) ).

cnf(c_0_157,hypothesis,
    ( select(store(a1,i1,select(a2,i1)),i3) = select(store(a2,i1,select(a1,i1)),i3)
    | i4 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_156]) ).

cnf(c_0_158,hypothesis,
    ( select(store(a2,i1,select(a1,i1)),i3) = select(a1,i3)
    | i4 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_157]) ).

cnf(c_0_159,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | select(a1,i3) != select(a2,i3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_151]),c_0_151])]) ).

cnf(c_0_160,hypothesis,
    ( select(a1,i3) = select(a2,i3)
    | i4 = i1
    | i3 = i1 ),
    inference(spm,[status(thm)],[c_0_7,c_0_158]) ).

cnf(c_0_161,hypothesis,
    ( i3 = i1
    | i4 = i1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_153]) ).

cnf(c_0_162,hypothesis,
    ( select(a1,i1) = select(a2,i1)
    | i3 = i1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_161]),c_0_151]),c_0_151]),c_0_4]),c_0_4]),c_0_151]),c_0_151]),c_0_4]),c_0_4]) ).

cnf(c_0_163,hypothesis,
    ( i3 = i1
    | i4 = i3 ),
    inference(spm,[status(thm)],[c_0_152,c_0_162]) ).

cnf(c_0_164,hypothesis,
    ( select(a1,i1) != select(a2,i1)
    | i3 != i1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_151]),c_0_151])]) ).

cnf(c_0_165,hypothesis,
    i3 = i1,
    inference(spm,[status(thm)],[c_0_161,c_0_163]) ).

cnf(c_0_166,hypothesis,
    ( select(store(store(a1,i1,select(a2,i1)),i1,select(a1,i1)),i3) = select(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i3)
    | i4 = i3 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_151]),c_0_4]),c_0_4]) ).

cnf(c_0_167,hypothesis,
    select(a1,i1) != select(a2,i1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).

cnf(c_0_168,hypothesis,
    i4 = i1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_165]),c_0_4]),c_0_165]),c_0_4]),c_0_165]),c_0_167]) ).

cnf(c_0_169,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_151]),c_0_151]),c_0_4]),c_0_165]),c_0_151]),c_0_151]),c_0_4]),c_0_165]),c_0_4]),c_0_168]),c_0_4]),c_0_151]),c_0_151]),c_0_4]),c_0_165]),c_0_151]),c_0_151]),c_0_4]),c_0_165]),c_0_4]),c_0_168]),c_0_4]),c_0_167]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV553-1.004 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 07:22:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.18/0.74  # Version: 3.1.0
% 2.18/0.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.18/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.74  # Starting new_bool_3 with 300s (1) cores
% 2.18/0.74  # Starting new_bool_1 with 300s (1) cores
% 2.18/0.74  # Starting sh5l with 300s (1) cores
% 2.18/0.74  # new_bool_3 with pid 6988 completed with status 0
% 2.18/0.74  # Result found by new_bool_3
% 2.18/0.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.18/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.74  # Starting new_bool_3 with 300s (1) cores
% 2.18/0.74  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.18/0.74  # Search class: FGUPF-FFSF32-DFFFFFNN
% 2.18/0.74  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.18/0.74  # Starting SAT001_MinMin_p005000_rr_RG with 75s (1) cores
% 2.18/0.74  # SAT001_MinMin_p005000_rr_RG with pid 6992 completed with status 0
% 2.18/0.74  # Result found by SAT001_MinMin_p005000_rr_RG
% 2.18/0.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.18/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.74  # Starting new_bool_3 with 300s (1) cores
% 2.18/0.74  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.18/0.74  # Search class: FGUPF-FFSF32-DFFFFFNN
% 2.18/0.74  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.18/0.74  # Starting SAT001_MinMin_p005000_rr_RG with 75s (1) cores
% 2.18/0.74  # Preprocessing time       : 0.001 s
% 2.18/0.74  # Presaturation interreduction done
% 2.18/0.74  
% 2.18/0.74  # Proof found!
% 2.18/0.74  # SZS status Unsatisfiable
% 2.18/0.74  # SZS output start CNFRefutation
% See solution above
% 2.18/0.74  # Parsed axioms                        : 4
% 2.18/0.74  # Removed by relevancy pruning/SinE    : 0
% 2.18/0.74  # Initial clauses                      : 4
% 2.18/0.74  # Removed in clause preprocessing      : 0
% 2.18/0.74  # Initial clauses in saturation        : 4
% 2.18/0.74  # Processed clauses                    : 1855
% 2.18/0.74  # ...of these trivial                  : 22
% 2.18/0.74  # ...subsumed                          : 1270
% 2.18/0.74  # ...remaining for further processing  : 563
% 2.18/0.74  # Other redundant clauses eliminated   : 0
% 2.18/0.74  # Clauses deleted for lack of memory   : 0
% 2.18/0.74  # Backward-subsumed                    : 258
% 2.18/0.74  # Backward-rewritten                   : 294
% 2.18/0.74  # Generated clauses                    : 7788
% 2.18/0.74  # ...of the previous two non-redundant : 7722
% 2.18/0.74  # ...aggressively subsumed             : 0
% 2.18/0.74  # Contextual simplify-reflections      : 42
% 2.18/0.74  # Paramodulations                      : 7750
% 2.18/0.74  # Factorizations                       : 38
% 2.18/0.74  # NegExts                              : 0
% 2.18/0.74  # Equation resolutions                 : 0
% 2.18/0.74  # Disequality decompositions           : 0
% 2.18/0.74  # Total rewrite steps                  : 5197
% 2.18/0.74  # ...of those cached                   : 5102
% 2.18/0.74  # Propositional unsat checks           : 0
% 2.18/0.74  #    Propositional check models        : 0
% 2.18/0.74  #    Propositional check unsatisfiable : 0
% 2.18/0.74  #    Propositional clauses             : 0
% 2.18/0.74  #    Propositional clauses after purity: 0
% 2.18/0.74  #    Propositional unsat core size     : 0
% 2.18/0.74  #    Propositional preprocessing time  : 0.000
% 2.18/0.74  #    Propositional encoding time       : 0.000
% 2.18/0.74  #    Propositional solver time         : 0.000
% 2.18/0.74  #    Success case prop preproc time    : 0.000
% 2.18/0.74  #    Success case prop encoding time   : 0.000
% 2.18/0.74  #    Success case prop solver time     : 0.000
% 2.18/0.74  # Current number of processed clauses  : 7
% 2.18/0.74  #    Positive orientable unit clauses  : 4
% 2.18/0.74  #    Positive unorientable unit clauses: 0
% 2.18/0.74  #    Negative unit clauses             : 2
% 2.18/0.74  #    Non-unit-clauses                  : 1
% 2.18/0.74  # Current number of unprocessed clauses: 5571
% 2.18/0.74  # ...number of literals in the above   : 24337
% 2.18/0.74  # Current number of archived formulas  : 0
% 2.18/0.74  # Current number of archived clauses   : 556
% 2.18/0.74  # Clause-clause subsumption calls (NU) : 59353
% 2.18/0.74  # Rec. Clause-clause subsumption calls : 3654
% 2.18/0.74  # Non-unit clause-clause subsumptions  : 1566
% 2.18/0.74  # Unit Clause-clause subsumption calls : 17
% 2.18/0.74  # Rewrite failures with RHS unbound    : 0
% 2.18/0.74  # BW rewrite match attempts            : 5
% 2.18/0.74  # BW rewrite match successes           : 4
% 2.18/0.74  # Condensation attempts                : 0
% 2.18/0.74  # Condensation successes               : 0
% 2.18/0.74  # Termbank termtop insertions          : 800503
% 2.18/0.74  # Search garbage collected termcells   : 2
% 2.18/0.74  
% 2.18/0.74  # -------------------------------------------------
% 2.18/0.74  # User time                : 0.262 s
% 2.18/0.74  # System time              : 0.011 s
% 2.18/0.74  # Total time               : 0.273 s
% 2.18/0.74  # Maximum resident set size: 1688 pages
% 2.18/0.74  
% 2.18/0.74  # -------------------------------------------------
% 2.18/0.74  # User time                : 0.262 s
% 2.18/0.74  # System time              : 0.013 s
% 2.18/0.74  # Total time               : 0.276 s
% 2.18/0.74  # Maximum resident set size: 1692 pages
% 2.18/0.74  % E---3.1 exiting
% 2.18/0.74  % E exiting
%------------------------------------------------------------------------------