TSTP Solution File: SWV553-1.004 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV553-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 21:45:47 EDT 2023
% Result : Unsatisfiable 0.56s 0.69s
% Output : CNFRefutation 0.56s
% 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,
a1: $i ).
tff(decl_25,type,
i1: $i ).
tff(decl_26,type,
a2: $i ).
tff(decl_27,type,
i2: $i ).
tff(decl_28,type,
i3: $i ).
tff(decl_29,type,
i4: $i ).
tff(decl_30,type,
sk: ( $i * $i ) > $i ).
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,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_16,negated_conjecture,
select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
goal ).
cnf(c_0_17,hypothesis,
( select(a1,X1) = select(a2,X1)
| i4 = X1
| i3 = X1
| i2 = X1
| i1 = X1 ),
inference(spm,[status(thm)],[c_0_7,c_0_15]) ).
cnf(c_0_18,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_19,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3
| sk(a1,a2) = i4 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,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_21,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_18]) ).
cnf(c_0_22,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_23,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_20]) ).
cnf(c_0_24,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_25,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_16,c_0_19]) ).
cnf(c_0_26,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_21]) ).
cnf(c_0_27,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| select(a1,i3) != select(a2,i3)
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_28,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_23]) ).
cnf(c_0_29,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i3 != i1
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i3 != i2
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| select(a1,i3) != select(a2,i3)
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i3 != i1
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i3 != i2
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_35,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_16,c_0_25]) ).
cnf(c_0_36,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_26]) ).
cnf(c_0_37,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_16,c_0_27]) ).
cnf(c_0_38,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_28]) ).
cnf(c_0_39,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i2) != select(a2,i2)
| i3 != i1
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i2) != select(a2,i2)
| i3 != i2
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_41,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_16,c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i2) != select(a2,i2)
| i3 != i1
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i2) != select(a2,i2)
| i3 != i2
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| select(a1,i3) != select(a2,i3)
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| select(a1,i4) != select(a2,i4)
| i3 != i1 ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_46,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i3 != i1
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_47,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| select(a1,i4) != select(a2,i4)
| i3 != i2 ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( sk(a1,a2) = i1
| sk(a1,a2) = i2
| i3 != i2
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_49,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i3) != select(a2,i3)
| i2 != i1
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_27]) ).
cnf(c_0_50,negated_conjecture,
( sk(a1,a2) = i1
| i2 != i1
| i3 != i1
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_51,negated_conjecture,
( sk(a1,a2) = i1
| i2 != i1
| i3 != i2
| i4 != i1 ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_52,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i3) != select(a2,i3)
| i2 != i1
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_53,negated_conjecture,
( sk(a1,a2) = i1
| i2 != i1
| i3 != i1
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_54,negated_conjecture,
( sk(a1,a2) = i1
| i2 != i1
| i3 != i2
| i4 != i2 ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_55,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_56,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_16,c_0_35]) ).
cnf(c_0_57,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_36]) ).
cnf(c_0_58,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_16,c_0_37]) ).
cnf(c_0_59,hypothesis,
( select(a1,i3) = select(a2,i3)
| i4 = i3
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_38]) ).
cnf(c_0_60,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i2) != select(a2,i2)
| i3 != i1
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_39]) ).
cnf(c_0_61,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i2) != select(a2,i2)
| i3 != i2
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_62,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_16,c_0_41]) ).
cnf(c_0_63,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i2) != select(a2,i2)
| i3 != i1
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_42]) ).
cnf(c_0_64,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i2) != select(a2,i2)
| i3 != i2
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
cnf(c_0_65,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_16,c_0_44]) ).
cnf(c_0_66,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_16,c_0_45]) ).
cnf(c_0_67,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i2) != select(a2,i2)
| i3 != i1
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_46]) ).
cnf(c_0_68,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_16,c_0_47]) ).
cnf(c_0_69,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i2) != select(a2,i2)
| i3 != i2
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_48]) ).
cnf(c_0_70,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_35]) ).
cnf(c_0_71,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i3) != select(a2,i3)
| i2 != i1
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_49]) ).
cnf(c_0_72,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i2 != i1
| i3 != i1
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_50]) ).
cnf(c_0_73,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i2 != i1
| i3 != i2
| i4 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_51]) ).
cnf(c_0_74,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i3) != select(a2,i3)
| i2 != i1
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_52]) ).
cnf(c_0_75,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i2 != i1
| i3 != i1
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_53]) ).
cnf(c_0_76,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i2 != i1
| i3 != i2
| i4 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_54]) ).
cnf(c_0_77,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i3) != select(a2,i3)
| i2 != i1
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_78,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i4) != select(a2,i4)
| i2 != i1
| i3 != i1 ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_79,negated_conjecture,
( sk(a1,a2) = i1
| i2 != i1
| i3 != i1
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_80,negated_conjecture,
( sk(a1,a2) = i1
| select(a1,i4) != select(a2,i4)
| i2 != i1
| i3 != i2 ),
inference(ef,[status(thm)],[c_0_47]) ).
cnf(c_0_81,negated_conjecture,
( sk(a1,a2) = i1
| i2 != i1
| i3 != i2
| i4 != i3 ),
inference(ef,[status(thm)],[c_0_48]) ).
cnf(c_0_82,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_55,c_0_7]) ).
cnf(c_0_83,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_16,c_0_56]) ).
cnf(c_0_84,hypothesis,
( select(a1,i4) = select(a2,i4)
| i4 = i3
| i4 = i2
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_57]) ).
cnf(c_0_85,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_58,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_86,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_62,c_0_59]),c_0_63]),c_0_64]) ).
cnf(c_0_87,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_16,c_0_65]) ).
cnf(c_0_88,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_16,c_0_66]) ).
cnf(c_0_89,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i2) != select(a2,i2)
| i3 != i1
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_67]) ).
cnf(c_0_90,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_16,c_0_68]) ).
cnf(c_0_91,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i2) != select(a2,i2)
| i3 != i2
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_69]) ).
cnf(c_0_92,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_93,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_16,c_0_70]) ).
cnf(c_0_94,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_71,c_0_59]),c_0_72]),c_0_73]) ).
cnf(c_0_95,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_74,c_0_59]),c_0_75]),c_0_76]) ).
cnf(c_0_96,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i3) != select(a2,i3)
| i2 != i1
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_77]) ).
cnf(c_0_97,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i4) != select(a2,i4)
| i2 != i1
| i3 != i1 ),
inference(spm,[status(thm)],[c_0_16,c_0_78]) ).
cnf(c_0_98,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i2 != i1
| i3 != i1
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_79]) ).
cnf(c_0_99,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| select(a1,i4) != select(a2,i4)
| i2 != i1
| i3 != i2 ),
inference(spm,[status(thm)],[c_0_16,c_0_80]) ).
cnf(c_0_100,negated_conjecture,
( select(a1,i1) != select(a2,i1)
| i2 != i1
| i3 != i2
| i4 != i3 ),
inference(spm,[status(thm)],[c_0_16,c_0_81]) ).
cnf(c_0_101,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_82,c_0_7]) ).
cnf(c_0_102,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_83,c_0_84]),c_0_85]),c_0_86]),c_0_87]) ).
cnf(c_0_103,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_88,c_0_84]),c_0_85]),c_0_86]),c_0_89]) ).
cnf(c_0_104,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_90,c_0_84]),c_0_85]),c_0_86]),c_0_91]) ).
cnf(c_0_105,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_92]) ).
cnf(c_0_106,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_93,c_0_84]),c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_107,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_97,c_0_84]),c_0_94]),c_0_95]),c_0_98]) ).
cnf(c_0_108,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_99,c_0_84]),c_0_94]),c_0_95]),c_0_100]) ).
cnf(c_0_109,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_101,c_0_7]) ).
cnf(c_0_110,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_102,c_0_59]),c_0_103]),c_0_104]) ).
cnf(c_0_111,hypothesis,
( select(a1,i2) = select(a2,i2)
| i3 = i2
| i4 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_105]) ).
cnf(c_0_112,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_106,c_0_59]),c_0_107]),c_0_108]) ).
cnf(c_0_113,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_109,c_0_7]) ).
cnf(c_0_114,hypothesis,
( i4 = i2
| i3 = i2
| i4 = i3
| select(a1,i1) != select(a2,i1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_115,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_116,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_113,c_0_7]) ).
cnf(c_0_117,hypothesis,
( i4 = i1
| i3 = i1
| i2 = i1
| i4 = i3
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,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_21,c_0_7]) ).
cnf(c_0_119,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_116,c_0_117]),c_0_4]),c_0_4]) ).
cnf(c_0_120,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_118,c_0_7]) ).
cnf(c_0_121,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_102,c_0_119]),c_0_111]),c_0_115]) ).
cnf(c_0_122,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_120,c_0_121]),c_0_4]),c_0_4]) ).
cnf(c_0_123,hypothesis,
( i3 = i2
| i2 = i1
| i3 = i1
| i4 = i1
| i4 = i3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_122]),c_0_115]) ).
cnf(c_0_124,hypothesis,
( i4 = i1
| i3 = i1
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_121,c_0_123]) ).
cnf(c_0_125,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_36,c_0_124]),c_0_4]),c_0_4]) ).
cnf(c_0_126,hypothesis,
( i3 = i1
| i2 = i1
| i4 = i3
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_114,c_0_125]) ).
cnf(c_0_127,hypothesis,
( i4 = i2
| i2 = i1
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_124,c_0_126]) ).
cnf(c_0_128,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_20,c_0_7]) ).
cnf(c_0_129,hypothesis,
( i3 = i2
| i3 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_124,c_0_127]) ).
cnf(c_0_130,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_128,c_0_7]) ).
cnf(c_0_131,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_102,c_0_129]),c_0_103]) ).
cnf(c_0_132,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_130,c_0_129]),c_0_4]),c_0_4]) ).
cnf(c_0_133,hypothesis,
( i4 = i2
| i3 = i1
| i2 = i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_134,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_82,c_0_129]),c_0_4]),c_0_4]) ).
cnf(c_0_135,hypothesis,
( i4 = i1
| i2 = i1
| i3 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_133,c_0_115]) ).
cnf(c_0_136,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_134,c_0_135]),c_0_4]),c_0_4]) ).
cnf(c_0_137,hypothesis,
( i3 = i1
| i4 = i1
| i2 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_136]),c_0_115]) ).
cnf(c_0_138,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_36,c_0_137]),c_0_4]),c_0_4]) ).
cnf(c_0_139,hypothesis,
( i2 = i1
| i3 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_133,c_0_138]) ).
cnf(c_0_140,hypothesis,
( i2 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_137,c_0_139]) ).
cnf(c_0_141,hypothesis,
( i4 = i2
| i3 = i2
| i2 = i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_131,c_0_111]) ).
cnf(c_0_142,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_28,c_0_140]),c_0_4]),c_0_4]) ).
cnf(c_0_143,hypothesis,
( i4 = i1
| i2 = i1
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_144,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_120,c_0_143]),c_0_4]),c_0_4]) ).
cnf(c_0_145,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_109,c_0_140]),c_0_4]),c_0_4]) ).
cnf(c_0_146,hypothesis,
( i3 = i2
| i4 = i1
| i2 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_144]),c_0_142]) ).
cnf(c_0_147,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_145,c_0_146]),c_0_4]),c_0_4]) ).
cnf(c_0_148,hypothesis,
( i2 = i1
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_141,c_0_147]) ).
cnf(c_0_149,hypothesis,
( i2 = i1
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_146,c_0_148]) ).
cnf(c_0_150,hypothesis,
i2 = i1,
inference(spm,[status(thm)],[c_0_140,c_0_149]) ).
cnf(c_0_151,hypothesis,
( i4 = i3
| select(a1,i1) != select(a2,i1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_150]),c_0_150])]) ).
cnf(c_0_152,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_92,c_0_150]),c_0_4]),c_0_150]),c_0_4]),c_0_150]),c_0_150]) ).
cnf(c_0_153,hypothesis,
( i3 = i1
| i4 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_154,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_153]),c_0_4]),c_0_150]),c_0_150]),c_0_4]),c_0_4]),c_0_150]),c_0_150]),c_0_4]) ).
cnf(c_0_155,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_154]) ).
cnf(c_0_156,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_155]) ).
cnf(c_0_157,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_156]) ).
cnf(c_0_158,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_102,c_0_150]),c_0_150])]) ).
cnf(c_0_159,hypothesis,
( select(a1,i3) = select(a2,i3)
| i4 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_157]) ).
cnf(c_0_160,hypothesis,
( i3 = i1
| i4 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_152]) ).
cnf(c_0_161,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_21,c_0_160]),c_0_150]),c_0_150]),c_0_4]),c_0_4]),c_0_150]),c_0_150]),c_0_4]),c_0_4]) ).
cnf(c_0_162,hypothesis,
( i3 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_151,c_0_161]) ).
cnf(c_0_163,hypothesis,
( select(a1,i1) != select(a2,i1)
| i3 != i1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_150]),c_0_150])]) ).
cnf(c_0_164,hypothesis,
i3 = i1,
inference(spm,[status(thm)],[c_0_160,c_0_162]) ).
cnf(c_0_165,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_20,c_0_150]),c_0_4]),c_0_4]) ).
cnf(c_0_166,hypothesis,
select(a1,i1) != select(a2,i1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]) ).
cnf(c_0_167,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_165,c_0_164]),c_0_4]),c_0_164]),c_0_4]),c_0_164]),c_0_166]) ).
cnf(c_0_168,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_150]),c_0_150]),c_0_4]),c_0_164]),c_0_150]),c_0_150]),c_0_4]),c_0_164]),c_0_4]),c_0_167]),c_0_4]),c_0_150]),c_0_150]),c_0_4]),c_0_164]),c_0_150]),c_0_150]),c_0_4]),c_0_164]),c_0_4]),c_0_167]),c_0_4]),c_0_166]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.06 % Problem : SWV553-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.01/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.05/0.25 % Computer : n016.cluster.edu
% 0.05/0.25 % Model : x86_64 x86_64
% 0.05/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.25 % Memory : 8042.1875MB
% 0.05/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.05/0.25 % CPULimit : 300
% 0.05/0.25 % WCLimit : 300
% 0.05/0.25 % DateTime : Tue Aug 29 06:07:45 EDT 2023
% 0.05/0.25 % CPUTime :
% 0.09/0.46 start to proof: theBenchmark
% 0.56/0.69 % Version : CSE_E---1.5
% 0.56/0.69 % Problem : theBenchmark.p
% 0.56/0.69 % Proof found
% 0.56/0.69 % SZS status Theorem for theBenchmark.p
% 0.56/0.69 % SZS output start Proof
% See solution above
% 0.56/0.70 % Total time : 0.226000 s
% 0.56/0.70 % SZS output end Proof
% 0.56/0.70 % Total time : 0.228000 s
%------------------------------------------------------------------------------