TSTP Solution File: SWV563-1.004 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV563-1.004 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 05:30:20 EDT 2024
% Result : Unsatisfiable 10.43s 1.78s
% Output : CNFRefutation 10.43s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',hyp0) ).
cnf(a2,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
cnf(goal,negated_conjecture,
select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
file('/export/starexec/sandbox/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_6,c_0_7]) ).
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(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(a2,i1,select(a1,i1)),i3)),i4)
| i3 = i2 ),
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(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)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(a2,i1,select(a1,i1)),i3)),i4)
| i2 = i1
| i3 = i2 ),
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(store(a1,i1,select(a2,i1)),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(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,
( 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(a2,i2)),i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_133,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_134,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_135,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_132,c_0_7]) ).
cnf(c_0_136,hypothesis,
( i4 = i2
| i3 = i1
| i2 = i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,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_135,c_0_130]),c_0_4]),c_0_4]) ).
cnf(c_0_138,hypothesis,
( i4 = i1
| i2 = i1
| i3 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_136,c_0_116]) ).
cnf(c_0_139,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_137,c_0_138]),c_0_4]),c_0_4]) ).
cnf(c_0_140,hypothesis,
( i3 = i1
| i4 = i1
| i2 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_139]),c_0_116]) ).
cnf(c_0_141,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_140]),c_0_4]),c_0_4]) ).
cnf(c_0_142,hypothesis,
( i2 = i1
| i3 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_136,c_0_141]) ).
cnf(c_0_143,hypothesis,
( i2 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_140,c_0_142]) ).
cnf(c_0_144,hypothesis,
( i4 = i2
| i3 = i2
| i2 = i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_133,c_0_112]) ).
cnf(c_0_145,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_143]),c_0_4]),c_0_4]) ).
cnf(c_0_146,hypothesis,
( i4 = i1
| i2 = i1
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_147,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_146]),c_0_4]),c_0_4]) ).
cnf(c_0_148,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_143]),c_0_4]),c_0_4]) ).
cnf(c_0_149,hypothesis,
( i3 = i2
| i4 = i1
| i2 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_147]),c_0_145]) ).
cnf(c_0_150,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_148,c_0_149]),c_0_4]),c_0_4]) ).
cnf(c_0_151,hypothesis,
( i2 = i1
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_144,c_0_150]) ).
cnf(c_0_152,hypothesis,
( i2 = i1
| i3 = i2 ),
inference(spm,[status(thm)],[c_0_149,c_0_151]) ).
cnf(c_0_153,hypothesis,
i2 = i1,
inference(spm,[status(thm)],[c_0_143,c_0_152]) ).
cnf(c_0_154,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_153]),c_0_153])]) ).
cnf(c_0_155,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_153]),c_0_4]),c_0_153]),c_0_4]),c_0_153]),c_0_153]) ).
cnf(c_0_156,hypothesis,
( i3 = i1
| i4 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_157,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_156]),c_0_4]),c_0_153]),c_0_153]),c_0_4]),c_0_4]),c_0_153]),c_0_153]),c_0_4]) ).
cnf(c_0_158,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_157]) ).
cnf(c_0_159,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_158]) ).
cnf(c_0_160,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_159]) ).
cnf(c_0_161,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_153]),c_0_153])]) ).
cnf(c_0_162,hypothesis,
( select(a1,i3) = select(a2,i3)
| i4 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_7,c_0_160]) ).
cnf(c_0_163,hypothesis,
( i3 = i1
| i4 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_155]) ).
cnf(c_0_164,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_163]),c_0_153]),c_0_153]),c_0_4]),c_0_4]),c_0_153]),c_0_153]),c_0_4]),c_0_4]) ).
cnf(c_0_165,hypothesis,
( i3 = i1
| i4 = i3 ),
inference(spm,[status(thm)],[c_0_154,c_0_164]) ).
cnf(c_0_166,hypothesis,
( select(a1,i1) != select(a2,i1)
| i3 != i1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_153]),c_0_153]),c_0_153])]) ).
cnf(c_0_167,hypothesis,
i3 = i1,
inference(spm,[status(thm)],[c_0_163,c_0_165]) ).
cnf(c_0_168,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_153]),c_0_4]),c_0_4]) ).
cnf(c_0_169,hypothesis,
select(a1,i1) != select(a2,i1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_170,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_168,c_0_167]),c_0_4]),c_0_167]),c_0_4]),c_0_167]),c_0_169]) ).
cnf(c_0_171,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_153]),c_0_153]),c_0_4]),c_0_167]),c_0_153]),c_0_153]),c_0_4]),c_0_167]),c_0_4]),c_0_170]),c_0_4]),c_0_153]),c_0_153]),c_0_4]),c_0_167]),c_0_153]),c_0_153]),c_0_4]),c_0_167]),c_0_4]),c_0_170]),c_0_4]),c_0_169]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV563-1.004 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 08:36:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.43/1.78 # Version: 3.1.0
% 10.43/1.78 # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.43/1.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.43/1.78 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.43/1.78 # Starting new_bool_3 with 300s (1) cores
% 10.43/1.78 # Starting new_bool_1 with 300s (1) cores
% 10.43/1.78 # Starting sh5l with 300s (1) cores
% 10.43/1.78 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27167 completed with status 0
% 10.43/1.78 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 10.43/1.78 # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.43/1.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.43/1.78 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.43/1.78 # No SInE strategy applied
% 10.43/1.78 # Search class: FGUPS-FFMF32-DFFFFFNN
% 10.43/1.78 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 10.43/1.78 # Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AN with 361s (1) cores
% 10.43/1.78 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.43/1.78 # Starting new_bool_1 with 354s (1) cores
% 10.43/1.78 # Starting G----_407_C05_02_F1_SE_CS_SP_PS_RG_S04AN with 172s (1) cores
% 10.43/1.78 # Starting 300_C18_F1_URBAN_S0Y with 136s (1) cores
% 10.43/1.78 # 300_C18_F1_URBAN_S0Y with pid 27178 completed with status 0
% 10.43/1.78 # Result found by 300_C18_F1_URBAN_S0Y
% 10.43/1.78 # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.43/1.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.43/1.78 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.43/1.78 # No SInE strategy applied
% 10.43/1.78 # Search class: FGUPS-FFMF32-DFFFFFNN
% 10.43/1.78 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 10.43/1.78 # Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AN with 361s (1) cores
% 10.43/1.78 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.43/1.78 # Starting new_bool_1 with 354s (1) cores
% 10.43/1.78 # Starting G----_407_C05_02_F1_SE_CS_SP_PS_RG_S04AN with 172s (1) cores
% 10.43/1.78 # Starting 300_C18_F1_URBAN_S0Y with 136s (1) cores
% 10.43/1.78 # Preprocessing time : 0.001 s
% 10.43/1.78
% 10.43/1.78 # Proof found!
% 10.43/1.78 # SZS status Unsatisfiable
% 10.43/1.78 # SZS output start CNFRefutation
% See solution above
% 10.43/1.78 # Parsed axioms : 5
% 10.43/1.78 # Removed by relevancy pruning/SinE : 0
% 10.43/1.78 # Initial clauses : 5
% 10.43/1.78 # Removed in clause preprocessing : 0
% 10.43/1.78 # Initial clauses in saturation : 5
% 10.43/1.78 # Processed clauses : 2679
% 10.43/1.78 # ...of these trivial : 71
% 10.43/1.78 # ...subsumed : 1649
% 10.43/1.78 # ...remaining for further processing : 959
% 10.43/1.78 # Other redundant clauses eliminated : 0
% 10.43/1.78 # Clauses deleted for lack of memory : 0
% 10.43/1.78 # Backward-subsumed : 427
% 10.43/1.78 # Backward-rewritten : 442
% 10.43/1.78 # Generated clauses : 38210
% 10.43/1.78 # ...of the previous two non-redundant : 37639
% 10.43/1.78 # ...aggressively subsumed : 0
% 10.43/1.78 # Contextual simplify-reflections : 42
% 10.43/1.78 # Paramodulations : 38173
% 10.43/1.78 # Factorizations : 37
% 10.43/1.78 # NegExts : 0
% 10.43/1.78 # Equation resolutions : 0
% 10.43/1.78 # Disequality decompositions : 0
% 10.43/1.78 # Total rewrite steps : 176110
% 10.43/1.78 # ...of those cached : 175698
% 10.43/1.78 # Propositional unsat checks : 0
% 10.43/1.78 # Propositional check models : 0
% 10.43/1.78 # Propositional check unsatisfiable : 0
% 10.43/1.78 # Propositional clauses : 0
% 10.43/1.78 # Propositional clauses after purity: 0
% 10.43/1.78 # Propositional unsat core size : 0
% 10.43/1.78 # Propositional preprocessing time : 0.000
% 10.43/1.78 # Propositional encoding time : 0.000
% 10.43/1.78 # Propositional solver time : 0.000
% 10.43/1.78 # Success case prop preproc time : 0.000
% 10.43/1.78 # Success case prop encoding time : 0.000
% 10.43/1.78 # Success case prop solver time : 0.000
% 10.43/1.78 # Current number of processed clauses : 90
% 10.43/1.78 # Positive orientable unit clauses : 15
% 10.43/1.78 # Positive unorientable unit clauses: 2
% 10.43/1.78 # Negative unit clauses : 2
% 10.43/1.78 # Non-unit-clauses : 71
% 10.43/1.78 # Current number of unprocessed clauses: 28479
% 10.43/1.78 # ...number of literals in the above : 122133
% 10.43/1.78 # Current number of archived formulas : 0
% 10.43/1.78 # Current number of archived clauses : 869
% 10.43/1.78 # Clause-clause subsumption calls (NU) : 199595
% 10.43/1.78 # Rec. Clause-clause subsumption calls : 6767
% 10.43/1.78 # Non-unit clause-clause subsumptions : 2115
% 10.43/1.78 # Unit Clause-clause subsumption calls : 394
% 10.43/1.78 # Rewrite failures with RHS unbound : 0
% 10.43/1.78 # BW rewrite match attempts : 764
% 10.43/1.78 # BW rewrite match successes : 7
% 10.43/1.78 # Condensation attempts : 0
% 10.43/1.78 # Condensation successes : 0
% 10.43/1.78 # Termbank termtop insertions : 4243975
% 10.43/1.78 # Search garbage collected termcells : 2
% 10.43/1.78
% 10.43/1.78 # -------------------------------------------------
% 10.43/1.78 # User time : 1.231 s
% 10.43/1.78 # System time : 0.026 s
% 10.43/1.78 # Total time : 1.257 s
% 10.43/1.78 # Maximum resident set size: 1584 pages
% 10.43/1.78
% 10.43/1.78 # -------------------------------------------------
% 10.43/1.78 # User time : 6.102 s
% 10.43/1.78 # System time : 0.136 s
% 10.43/1.78 # Total time : 6.238 s
% 10.43/1.78 # Maximum resident set size: 1696 pages
% 10.43/1.78 % E---3.1 exiting
% 10.43/1.78 % E exiting
%------------------------------------------------------------------------------