%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV553-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:58:28 PM UTC 2026
% Result : Unsatisfiable 1.85s 0.74s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 4
% Syntax : Number of clauses : 175 ( 14 unt; 97 nHn; 163 RR)
% Number of literals : 587 ( 586 equ; 245 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 4 sgn)
% 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,
( select(store(X3,X1,X4),X2) = select(X3,X2)
| X1 = 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,
( select(store(X3,X1,X4),X2) = select(X3,X2)
| X1 = 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,
( i4 = X1
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,hypothesis,
( 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) = 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_11,hypothesis,
( i3 = X1
| i4 = 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) = select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_12,hypothesis,
( i3 = X1
| i4 = X1
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_13,hypothesis,
( i2 = X1
| i4 = X1
| i3 = X1
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_14,hypothesis,
( i2 = X1
| i3 = X1
| i4 = X1
| select(store(a1,i1,select(a2,i1)),X1) = select(store(a2,i1,select(a1,i1)),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,
( i1 = X1
| i4 = X1
| i3 = X1
| i2 = X1
| select(store(a2,i1,select(a1,i1)),X1) = select(a1,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,
( i1 = X1
| i2 = X1
| i3 = X1
| i4 = X1
| select(a1,X1) = select(a2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_19,hypothesis,
( i4 = i3
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( sk(a1,a2) = i4
| sk(a1,a2) = i3
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,hypothesis,
( i4 = i3
| 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) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_10]),c_0_4]) ).
cnf(c_0_22,hypothesis,
( i4 = i3
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( i4 != i1
| sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3 ),
inference(ef,[status(thm)],[c_0_20]) ).
cnf(c_0_24,hypothesis,
( i3 = i2
| i4 = i3
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( i4 != i2
| sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3 ),
inference(ef,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( select(a1,i4) != select(a2,i4)
| sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3 ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_27,hypothesis,
( i4 = i2
| i4 = i3
| 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) ),
inference(spm,[status(thm)],[c_0_7,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( i4 != i1
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_29,hypothesis,
( i3 = i2
| i4 = i3
| select(store(a1,i1,select(a2,i1)),i3) = select(store(a2,i1,select(a1,i1)),i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( i4 != i1
| i3 != i1
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( i4 != i1
| i3 != i2
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( i4 != i2
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( i4 != i2
| i3 != i1
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( i4 != i2
| i3 != i2
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( i4 != i3
| sk(a1,a2) = i1
| sk(a1,a2) = i2
| sk(a1,a2) = i3 ),
inference(ef,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
( select(a1,i4) != select(a2,i4)
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_37,hypothesis,
( i4 = i2
| i4 = i3
| select(store(a1,i1,select(a2,i1)),i4) = select(store(a2,i1,select(a1,i1)),i4) ),
inference(spm,[status(thm)],[c_0_7,c_0_27]) ).
cnf(c_0_38,negated_conjecture,
( i4 != i1
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
cnf(c_0_39,hypothesis,
( i3 = i1
| i4 = i3
| i3 = i2
| select(store(a2,i1,select(a1,i1)),i3) = select(a1,i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( i4 != i1
| i3 != i1
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_41,negated_conjecture,
( i4 != i1
| i3 != i2
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( i4 != i2
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( i4 != i2
| i3 != i1
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( i4 != i2
| i3 != i2
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( i4 != i3
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_35]) ).
cnf(c_0_46,negated_conjecture,
( i3 != i1
| select(a1,i4) != select(a2,i4)
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_26]) ).
cnf(c_0_47,negated_conjecture,
( i4 != i3
| i3 != i1
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
( i3 != i2
| select(a1,i4) != select(a2,i4)
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( i4 != i3
| i3 != i2
| sk(a1,a2) = i2
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_50,negated_conjecture,
( i4 != i1
| i2 != i1
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_51,negated_conjecture,
( i4 != i1
| i3 != i1
| i2 != i1
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_52,negated_conjecture,
( i4 != i1
| i3 != i2
| i2 != i1
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_53,negated_conjecture,
( i4 != i2
| i2 != i1
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_54,negated_conjecture,
( i4 != i2
| i3 != i1
| i2 != i1
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_55,negated_conjecture,
( i4 != i2
| i3 != i2
| i2 != i1
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_56,negated_conjecture,
( select(a1,i4) != select(a2,i4)
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_36]) ).
cnf(c_0_57,hypothesis,
( i4 = i1
| i4 = i3
| i4 = i2
| select(store(a2,i1,select(a1,i1)),i4) = select(a1,i4) ),
inference(spm,[status(thm)],[c_0_7,c_0_37]) ).
cnf(c_0_58,negated_conjecture,
( i4 != i1
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_38]) ).
cnf(c_0_59,hypothesis,
( i3 = i1
| i3 = i2
| i4 = i3
| select(a1,i3) = select(a2,i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_39]) ).
cnf(c_0_60,negated_conjecture,
( i4 != i1
| i3 != i1
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_40]) ).
cnf(c_0_61,negated_conjecture,
( i4 != i1
| i3 != i2
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_41]) ).
cnf(c_0_62,negated_conjecture,
( i4 != i2
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_42]) ).
cnf(c_0_63,negated_conjecture,
( i4 != i2
| i3 != i1
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_43]) ).
cnf(c_0_64,negated_conjecture,
( i4 != i2
| i3 != i2
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_44]) ).
cnf(c_0_65,negated_conjecture,
( i4 != i3
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_45]) ).
cnf(c_0_66,negated_conjecture,
( i3 != i1
| select(a1,i4) != select(a2,i4)
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_46]) ).
cnf(c_0_67,negated_conjecture,
( i4 != i3
| i3 != i1
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_47]) ).
cnf(c_0_68,negated_conjecture,
( i3 != i2
| select(a1,i4) != select(a2,i4)
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
cnf(c_0_69,negated_conjecture,
( i4 != i3
| i3 != i2
| select(a1,i2) != select(a2,i2)
| sk(a1,a2) = i1 ),
inference(spm,[status(thm)],[c_0_17,c_0_49]) ).
cnf(c_0_70,negated_conjecture,
( i2 != i1
| select(a1,i4) != select(a2,i4)
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_71,negated_conjecture,
( i4 != i1
| i2 != i1
| select(a1,i3) != select(a2,i3)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_50]) ).
cnf(c_0_72,negated_conjecture,
( i4 != i1
| i3 != i1
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_51]) ).
cnf(c_0_73,negated_conjecture,
( i4 != i1
| i3 != i2
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_52]) ).
cnf(c_0_74,negated_conjecture,
( i4 != i2
| i2 != i1
| select(a1,i3) != select(a2,i3)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_53]) ).
cnf(c_0_75,negated_conjecture,
( i4 != i2
| i3 != i1
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_54]) ).
cnf(c_0_76,negated_conjecture,
( i4 != i2
| i3 != i2
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_55]) ).
cnf(c_0_77,negated_conjecture,
( i4 != i3
| i2 != i1
| select(a1,i3) != select(a2,i3)
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_78,negated_conjecture,
( i3 != i1
| i2 != i1
| select(a1,i4) != select(a2,i4)
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_79,negated_conjecture,
( i4 != i3
| i3 != i1
| i2 != i1
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_47]) ).
cnf(c_0_80,negated_conjecture,
( i3 != i2
| i2 != i1
| select(a1,i4) != select(a2,i4)
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_48]) ).
cnf(c_0_81,negated_conjecture,
( i4 != i3
| i3 != i2
| i2 != i1
| sk(a1,a2) = i1 ),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_82,hypothesis,
( i3 = i2
| 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) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_83,negated_conjecture,
( select(a1,i4) != select(a2,i4)
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_56]) ).
cnf(c_0_84,hypothesis,
( i4 = i1
| i4 = i2
| i4 = i3
| select(a1,i4) = select(a2,i4) ),
inference(spm,[status(thm)],[c_0_7,c_0_57]) ).
cnf(c_0_85,hypothesis,
( i4 != i1
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1)
| i4 = i3 ),
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 != i2
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1)
| i4 = i3 ),
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,
( i4 != i3
| select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_65]) ).
cnf(c_0_88,negated_conjecture,
( i3 != i1
| select(a1,i4) != select(a2,i4)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_66]) ).
cnf(c_0_89,negated_conjecture,
( i4 != i3
| i3 != i1
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_67]) ).
cnf(c_0_90,negated_conjecture,
( i3 != i2
| select(a1,i4) != select(a2,i4)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_68]) ).
cnf(c_0_91,negated_conjecture,
( i4 != i3
| i3 != i2
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_69]) ).
cnf(c_0_92,hypothesis,
( i4 = i2
| i3 = i2
| select(store(a1,i1,select(a2,i1)),i2) = select(store(a2,i1,select(a1,i1)),i2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_4]) ).
cnf(c_0_93,negated_conjecture,
( i2 != i1
| select(a1,i4) != select(a2,i4)
| select(a1,i3) != select(a2,i3)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_70]) ).
cnf(c_0_94,hypothesis,
( i4 != i1
| i2 != i1
| select(a1,i1) != select(a2,i1)
| i4 = i3 ),
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 != i2
| i2 != i1
| select(a1,i1) != select(a2,i1)
| i4 = i3 ),
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,
( i4 != i3
| i2 != i1
| select(a1,i3) != select(a2,i3)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_77]) ).
cnf(c_0_97,negated_conjecture,
( i3 != i1
| i2 != i1
| select(a1,i4) != select(a2,i4)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_78]) ).
cnf(c_0_98,negated_conjecture,
( i4 != i3
| i3 != i1
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_79]) ).
cnf(c_0_99,negated_conjecture,
( i3 != i2
| i2 != i1
| select(a1,i4) != select(a2,i4)
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_80]) ).
cnf(c_0_100,negated_conjecture,
( i4 != i3
| i3 != i2
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
inference(spm,[status(thm)],[c_0_17,c_0_81]) ).
cnf(c_0_101,hypothesis,
( i3 = i2
| 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) = 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) ),
inference(spm,[status(thm)],[c_0_82,c_0_7]) ).
cnf(c_0_102,hypothesis,
( select(a1,i3) != select(a2,i3)
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
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,
( i3 != i1
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,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,
( i3 != i2
| select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1) ),
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,
( i2 = i1
| i3 = i2
| i4 = i2
| select(store(a2,i1,select(a1,i1)),i2) = select(a1,i2) ),
inference(spm,[status(thm)],[c_0_7,c_0_92]) ).
cnf(c_0_106,hypothesis,
( i2 != i1
| select(a1,i3) != select(a2,i3)
| select(a1,i1) != select(a2,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,
( i3 != i1
| i2 != i1
| select(a1,i1) != select(a2,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,
( i3 != i2
| i2 != i1
| select(a1,i1) != select(a2,i1) ),
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,
( i3 = i2
| i3 = i1
| 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(store(a2,i1,select(a1,i1)),i2)),i3,select(a2,i3)),i4) ),
inference(spm,[status(thm)],[c_0_101,c_0_7]) ).
cnf(c_0_110,hypothesis,
( select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1)
| i4 = i3 ),
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,
( i2 = i1
| i4 = i2
| i3 = i2
| select(a1,i2) = select(a2,i2) ),
inference(spm,[status(thm)],[c_0_7,c_0_105]) ).
cnf(c_0_112,hypothesis,
( i2 != i1
| select(a1,i1) != select(a2,i1)
| i4 = i3 ),
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,
( i3 = i1
| i3 = i2
| select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(a2,i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(a1,i3)),i4) ),
inference(spm,[status(thm)],[c_0_109,c_0_7]) ).
cnf(c_0_114,hypothesis,
( select(a1,i1) != select(a2,i1)
| i4 = i3
| i3 = i2
| i4 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_115,hypothesis,
( i4 = i1
| i3 = i1
| i2 = i1
| select(a1,i1) = select(a2,i1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_14]),c_0_4]) ).
cnf(c_0_116,hypothesis,
( i3 = i2
| i3 = i1
| i2 = i1
| select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(a1,i3)),i4) = select(store(store(store(a1,i1,select(a2,i1)),i2,select(a2,i2)),i3,select(a2,i3)),i4) ),
inference(spm,[status(thm)],[c_0_113,c_0_7]) ).
cnf(c_0_117,hypothesis,
( i4 = i2
| i3 = i2
| i4 = i3
| i2 = i1
| i3 = i1
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,hypothesis,
( i4 = i3
| i2 = i1
| 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) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_119,hypothesis,
( i2 = i1
| i3 = i1
| i3 = i2
| i4 = i1
| i4 = i2
| select(a1,i3) = select(a2,i3) ),
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,
( i2 = i1
| i4 = i3
| 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) ),
inference(spm,[status(thm)],[c_0_118,c_0_7]) ).
cnf(c_0_121,hypothesis,
( i4 = i2
| i4 = i1
| i3 = i2
| i3 = i1
| i2 = i1 ),
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,
( i3 = i2
| i2 = i1
| i3 = i1
| i4 = i1
| select(a1,i2) = select(a2,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,
( i4 = i3
| i4 = i1
| i3 = i1
| i2 = i1
| i3 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_122]),c_0_115]) ).
cnf(c_0_124,hypothesis,
( i2 = i1
| i3 = i1
| i3 = i2
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_121,c_0_123]) ).
cnf(c_0_125,hypothesis,
( i3 = i1
| i2 = i1
| i3 = i2
| select(a1,i1) = select(a2,i1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_124]),c_0_4]),c_0_4]) ).
cnf(c_0_126,hypothesis,
( i4 = i2
| i3 = i2
| i4 = i3
| i2 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_114,c_0_125]) ).
cnf(c_0_127,hypothesis,
( i4 = i3
| i2 = i1
| 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) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_128,hypothesis,
( i3 = i1
| i3 = i2
| i2 = i1
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_124,c_0_126]) ).
cnf(c_0_129,hypothesis,
( i2 = i1
| i4 = i3
| 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) ),
inference(spm,[status(thm)],[c_0_127,c_0_7]) ).
cnf(c_0_130,hypothesis,
( i2 = i1
| i3 = i2
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_124,c_0_128]) ).
cnf(c_0_131,hypothesis,
( i4 = i2
| i2 = i1
| i3 = i1
| select(a1,i2) = select(a2,i2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_4]),c_0_4]) ).
cnf(c_0_132,hypothesis,
( i2 = i1
| 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) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_133,hypothesis,
( select(a1,i1) != select(a2,i1)
| i4 = i3
| i3 = i1
| i4 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_131]),c_0_112]) ).
cnf(c_0_134,hypothesis,
( i2 = i1
| 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) ),
inference(spm,[status(thm)],[c_0_132,c_0_7]) ).
cnf(c_0_135,hypothesis,
( i4 = i2
| i3 = i1
| i4 = i3
| i2 = i1
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_133,c_0_115]) ).
cnf(c_0_136,hypothesis,
( i2 = i1
| i3 = i1
| 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) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_130]),c_0_4]),c_0_4]) ).
cnf(c_0_137,hypothesis,
( i4 = i1
| i2 = i1
| i3 = i1
| i4 = i2 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_135]),c_0_130]) ).
cnf(c_0_138,hypothesis,
( select(a1,i2) != select(a2,i2)
| select(a1,i1) != select(a2,i1)
| i2 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_130]),c_0_103]) ).
cnf(c_0_139,hypothesis,
( i3 = i1
| i2 = i1
| i4 = i1
| select(a1,i2) = select(a2,i2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_4]),c_0_4]) ).
cnf(c_0_140,hypothesis,
( i2 = i1
| i4 = i1
| i3 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_115]) ).
cnf(c_0_141,hypothesis,
( select(a1,i1) != select(a2,i1)
| i3 = i1
| i2 = i1
| i4 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_131]),c_0_130]) ).
cnf(c_0_142,hypothesis,
( i3 = i1
| i2 = i1
| select(a1,i1) = select(a2,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_143,hypothesis,
( i4 = i2
| i2 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_144,hypothesis,
( i3 = i1
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_140,c_0_143]) ).
cnf(c_0_145,hypothesis,
( select(a1,i1) != select(a2,i1)
| i2 = i1
| i3 = i2
| i4 = i2 ),
inference(spm,[status(thm)],[c_0_138,c_0_111]) ).
cnf(c_0_146,hypothesis,
( i4 = i1
| i2 = i1
| select(a1,i1) = select(a2,i1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_144]),c_0_4]),c_0_4]) ).
cnf(c_0_147,hypothesis,
( i2 = i1
| i3 = i2
| 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) ),
inference(spm,[status(thm)],[c_0_134,c_0_7]) ).
cnf(c_0_148,hypothesis,
( i4 = i2
| i3 = i2
| i2 = i1
| i4 = i1 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,hypothesis,
( i3 = i2
| i2 = i1
| 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) ),
inference(spm,[status(thm)],[c_0_147,c_0_7]) ).
cnf(c_0_150,hypothesis,
( i3 = i2
| i2 = i1
| i4 = i1
| select(a1,i2) = select(a2,i2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_148]),c_0_4]),c_0_4]) ).
cnf(c_0_151,hypothesis,
( i2 = i1
| 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) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_144]),c_0_4]),c_0_4]) ).
cnf(c_0_152,hypothesis,
( i2 = i1
| i4 = i1
| i3 = i2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_150]),c_0_146]) ).
cnf(c_0_153,hypothesis,
( i2 = i1
| i3 = i2
| select(a1,i1) = select(a2,i1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_4]),c_0_4]) ).
cnf(c_0_154,hypothesis,
( i4 = i2
| i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_145,c_0_153]) ).
cnf(c_0_155,hypothesis,
( i3 = i2
| i2 = i1 ),
inference(spm,[status(thm)],[c_0_152,c_0_154]) ).
cnf(c_0_156,hypothesis,
i2 = i1,
inference(spm,[status(thm)],[c_0_144,c_0_155]) ).
cnf(c_0_157,hypothesis,
( select(a1,i1) != select(a2,i1)
| i4 = i3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_156])]) ).
cnf(c_0_158,hypothesis,
( i3 = i1
| i4 = i1
| select(a1,i1) = select(a2,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_156]),c_0_4]),c_0_156]),c_0_4]),c_0_156]),c_0_156]) ).
cnf(c_0_159,hypothesis,
( i4 = i3
| i4 = i1
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_160,hypothesis,
( i3 = i1
| i4 = i1
| 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) ),
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_159]),c_0_4]),c_0_156]),c_0_156]),c_0_4]),c_0_4]),c_0_156]),c_0_156]),c_0_4]) ).
cnf(c_0_161,hypothesis,
( i3 = i1
| i4 = i1
| select(store(store(a2,i1,select(a1,i1)),i1,select(a2,i1)),i3) = select(store(a1,i1,select(a2,i1)),i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_160]) ).
cnf(c_0_162,hypothesis,
( i3 = i1
| i4 = i1
| select(store(a1,i1,select(a2,i1)),i3) = select(store(a2,i1,select(a1,i1)),i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_161]) ).
cnf(c_0_163,hypothesis,
( i3 = i1
| i4 = i1
| select(store(a2,i1,select(a1,i1)),i3) = select(a1,i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_162]) ).
cnf(c_0_164,hypothesis,
( select(a1,i3) != select(a2,i3)
| select(a1,i1) != select(a2,i1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_156])]) ).
cnf(c_0_165,hypothesis,
( i3 = i1
| i4 = i1
| select(a1,i3) = select(a2,i3) ),
inference(spm,[status(thm)],[c_0_7,c_0_163]) ).
cnf(c_0_166,hypothesis,
( i4 = i1
| i3 = i1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_158]) ).
cnf(c_0_167,hypothesis,
( i3 = i1
| select(a1,i1) = select(a2,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_166]),c_0_156]),c_0_156]),c_0_4]),c_0_4]),c_0_156]),c_0_156]),c_0_4]),c_0_4]) ).
cnf(c_0_168,hypothesis,
( i4 = i3
| i3 = i1 ),
inference(spm,[status(thm)],[c_0_157,c_0_167]) ).
cnf(c_0_169,hypothesis,
( i3 != i1
| select(a1,i1) != select(a2,i1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_156]),c_0_156])]) ).
cnf(c_0_170,hypothesis,
i3 = i1,
inference(spm,[status(thm)],[c_0_166,c_0_168]) ).
cnf(c_0_171,hypothesis,
( i4 = i3
| 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) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_156]),c_0_4]),c_0_4]) ).
cnf(c_0_172,hypothesis,
select(a1,i1) != select(a2,i1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).
cnf(c_0_173,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_171,c_0_170]),c_0_4]),c_0_170]),c_0_4]),c_0_170]),c_0_172]) ).
cnf(c_0_174,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_156]),c_0_156]),c_0_4]),c_0_170]),c_0_156]),c_0_156]),c_0_4]),c_0_170]),c_0_4]),c_0_173]),c_0_4]),c_0_156]),c_0_156]),c_0_4]),c_0_170]),c_0_156]),c_0_156]),c_0_4]),c_0_170]),c_0_4]),c_0_173]),c_0_4]),c_0_172]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV553-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n002.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 09:10:01 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.50 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
% 1.85/0.74 % Version: 3.5.1
% 1.85/0.74 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.85/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.85/0.74 % Starting new_bool_3 with 300s (1) cores
% 1.85/0.74 % Starting new_bool_1 with 300s (1) cores
% 1.85/0.74 % Starting sh5l with 300s (1) cores
% 1.85/0.74 % new_bool_3 with pid 2942796 completed with status 0
% 1.85/0.74 % Result found by new_bool_3
% 1.85/0.74 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.85/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.85/0.74 % Starting new_bool_3 with 300s (1) cores
% 1.85/0.74 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.85/0.74 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.85/0.74 % Search class: FGUPF-FFSF32-DFFFFFNN
% 1.85/0.74 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.85/0.74 % Starting SubtermCWHack with 31s (1) cores
% 1.85/0.74 % SubtermCWHack with pid 2942801 completed with status 0
% 1.85/0.74 % Result found by SubtermCWHack
% 1.85/0.74 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.85/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.85/0.74 % Starting new_bool_3 with 300s (1) cores
% 1.85/0.74 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.85/0.74 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.85/0.74 % Search class: FGUPF-FFSF32-DFFFFFNN
% 1.85/0.74 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.85/0.74 % Starting SubtermCWHack with 31s (1) cores
% 1.85/0.74 % Preprocessing time : 0.001 s
% 1.85/0.74
% 1.85/0.74 % Proof found!
% 1.85/0.74 % SZS status Unsatisfiable
% 1.85/0.74 % SZS output start CNFRefutation
% See solution above
% 1.85/0.74 % Parsed axioms : 4
% 1.85/0.74 % Removed by relevancy pruning/SinE : 0
% 1.85/0.74 % Initial clauses : 4
% 1.85/0.74 % Removed in clause preprocessing : 0
% 1.85/0.74 % Initial clauses in saturation : 4
% 1.85/0.74 % Processed clauses : 1943
% 1.85/0.74 % ...of these trivial : 27
% 1.85/0.74 % ...subsumed : 1335
% 1.85/0.74 % ...remaining for further processing : 581
% 1.85/0.74 % Other redundant clauses eliminated : 0
% 1.85/0.74 % Clauses deleted for lack of memory : 0
% 1.85/0.74 % Backward-subsumed : 268
% 1.85/0.74 % Backward-rewritten : 306
% 1.85/0.74 % Generated clauses : 8337
% 1.85/0.74 % ...of the previous two non-redundant : 8241
% 1.85/0.74 % ...aggressively subsumed : 0
% 1.85/0.74 % Contextual simplify-reflections : 45
% 1.85/0.74 % Paramodulations : 8298
% 1.85/0.74 % Factorizations : 39
% 1.85/0.74 % NegExts : 0
% 1.85/0.74 % Equation resolutions : 0
% 1.85/0.74 % Disequality decompositions : 0
% 1.85/0.74 % Total rewrite steps : 5574
% 1.85/0.74 % ...of those cached : 5478
% 1.85/0.74 % Propositional unsat checks : 0
% 1.85/0.74 % Propositional check models : 0
% 1.85/0.74 % Propositional check unsatisfiable : 0
% 1.85/0.74 % Propositional clauses : 0
% 1.85/0.74 % Propositional clauses after purity: 0
% 1.85/0.74 % Propositional unsat core size : 0
% 1.85/0.74 % Propositional preprocessing time : 0.000
% 1.85/0.74 % Propositional encoding time : 0.000
% 1.85/0.74 % Propositional solver time : 0.000
% 1.85/0.74 % Success case prop preproc time : 0.000
% 1.85/0.74 % Success case prop encoding time : 0.000
% 1.85/0.74 % Success case prop solver time : 0.000
% 1.85/0.74 % Current number of processed clauses : 7
% 1.85/0.74 % Positive orientable unit clauses : 4
% 1.85/0.74 % Positive unorientable unit clauses: 0
% 1.85/0.74 % Negative unit clauses : 2
% 1.85/0.74 % Non-unit-clauses : 1
% 1.85/0.74 % Current number of unprocessed clauses: 234
% 1.85/0.74 % ...number of literals in the above : 770
% 1.85/0.74 % Current number of archived formulas : 0
% 1.85/0.74 % Current number of archived clauses : 574
% 1.85/0.74 % Clause-clause subsumption calls (NU) : 63590
% 1.85/0.74 % Rec. Clause-clause subsumption calls : 3794
% 1.85/0.74 % Non-unit clause-clause subsumptions : 1647
% 1.85/0.74 % Unit Clause-clause subsumption calls : 17
% 1.85/0.74 % Rewrite failures with RHS unbound : 0
% 1.85/0.74 % BW rewrite match attempts : 5
% 1.85/0.74 % BW rewrite match successes : 4
% 1.85/0.74 % Condensation attempts : 0
% 1.85/0.74 % Condensation successes : 0
% 1.85/0.74 % Termbank termtop insertions : 876242
% 1.85/0.74 % Search garbage collected termcells : 2
% 1.85/0.74
% 1.85/0.74 % -------------------------------------------------
% 1.85/0.74 % User time : 0.214 s
% 1.85/0.74 % System time : 0.006 s
% 1.85/0.74 % Total time : 0.220 s
% 1.85/0.74 % Maximum resident set size: 3640 pages
% 1.85/0.74
% 1.85/0.74 % -------------------------------------------------
% 1.85/0.74 % User time : 0.214 s
% 1.85/0.74 % System time : 0.011 s
% 1.85/0.74 % Total time : 0.225 s
% 1.85/0.74 % Maximum resident set size: 4608 pages
% 1.85/0.74 % E exiting
%------------------------------------------------------------------------------