TSTP Solution File: PUZ034-1.004 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ034-1.004 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 13:12:15 EDT 2023
% Result : Unsatisfiable 6.57s 6.67s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 108
% Number of leaves : 31
% Syntax : Number of formulae : 167 ( 21 unt; 13 typ; 0 def)
% Number of atoms : 1086 ( 0 equ)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 1290 ( 358 ~; 932 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 11 >; 15 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 358 ( 20 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cons: ( $i * $i ) > $i ).
tff(decl_23,type,
range: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
less: ( $i * $i ) > $o ).
tff(decl_25,type,
n0: $i ).
tff(decl_26,type,
s: $i > $i ).
tff(decl_27,type,
sum: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
empty_list: $i ).
tff(decl_29,type,
select: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
same: ( $i * $i ) > $o ).
tff(decl_31,type,
diagonal_attack: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
attack: ( $i * $i ) > $o ).
tff(decl_33,type,
do_queens: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
queens: ( $i * $i ) > $o ).
cnf(place_a_queen1,axiom,
( do_queens(X1,X2,X3)
| attack(X4,X2)
| ~ select(X4,X1,X5)
| ~ do_queens(X5,cons(X4,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',place_a_queen1) ).
cnf(place_a_queen2,axiom,
do_queens(empty_list,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',place_a_queen2) ).
cnf(select1,axiom,
select(X1,cons(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select1) ).
cnf(select2,axiom,
( select(X1,cons(X2,X3),cons(X2,X4))
| ~ select(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select2) ).
cnf(make_list_of_numbers1,axiom,
( range(X1,X2,cons(X1,X3))
| ~ less(X1,X2)
| ~ sum(X1,s(n0),X4)
| ~ range(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_list_of_numbers1) ).
cnf(add,axiom,
( sum(X1,s(X2),s(X3))
| ~ sum(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add) ).
cnf(make_list_of_numbers2,axiom,
range(X1,X1,cons(X1,empty_list)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_list_of_numbers2) ).
cnf(set_up_queens,axiom,
( queens(X1,X2)
| ~ sum(X1,s(n0),X3)
| ~ sum(X1,X1,X4)
| ~ range(X3,X4,X5)
| ~ do_queens(X5,empty_list,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_up_queens) ).
cnf(check_diagonals2,axiom,
~ diagonal_attack(X1,X2,empty_list),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',check_diagonals2) ).
cnf(attack,axiom,
( diagonal_attack(X1,s(n0),X2)
| ~ attack(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',attack) ).
cnf(check_diagonals1,axiom,
( same(X5,X1)
| same(X6,X1)
| diagonal_attack(X1,X7,X4)
| ~ diagonal_attack(X1,X2,cons(X3,X4))
| ~ sum(X5,X2,X3)
| ~ sum(X3,X2,X6)
| ~ sum(X2,s(n0),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',check_diagonals1) ).
cnf(add_0,axiom,
sum(X1,n0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_0) ).
cnf(place_queens,negated_conjecture,
~ queens(s(s(s(s(n0)))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',place_queens) ).
cnf(less2,axiom,
( less(s(X1),s(X2))
| ~ less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
cnf(less1,axiom,
less(n0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
cnf(same_definition3,axiom,
( same(X1,X2)
| ~ same(s(X1),s(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_definition3) ).
cnf(same_definition1,axiom,
~ same(s(X1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_definition1) ).
cnf(same_definition2,axiom,
~ same(n0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_definition2) ).
cnf(c_0_18,axiom,
( do_queens(X1,X2,X3)
| attack(X4,X2)
| ~ select(X4,X1,X5)
| ~ do_queens(X5,cons(X4,X2),X3) ),
place_a_queen1 ).
cnf(c_0_19,axiom,
do_queens(empty_list,X1,X1),
place_a_queen2 ).
cnf(c_0_20,plain,
( do_queens(X1,X2,cons(X3,X2))
| attack(X3,X2)
| ~ select(X3,X1,empty_list) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( do_queens(X1,X2,cons(X3,cons(X4,X2)))
| attack(X3,cons(X4,X2))
| attack(X4,X2)
| ~ select(X3,X5,empty_list)
| ~ select(X4,X1,X5) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_22,axiom,
select(X1,cons(X1,X2),X2),
select1 ).
cnf(c_0_23,plain,
( do_queens(X1,X2,cons(X3,cons(X4,X2)))
| attack(X3,cons(X4,X2))
| attack(X4,X2)
| ~ select(X4,X1,cons(X3,empty_list)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
( do_queens(X1,X2,cons(X3,cons(X4,cons(X5,X2))))
| attack(X3,cons(X4,cons(X5,X2)))
| attack(X4,cons(X5,X2))
| attack(X5,X2)
| ~ select(X4,X6,cons(X3,empty_list))
| ~ select(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_25,axiom,
( select(X1,cons(X2,X3),cons(X2,X4))
| ~ select(X1,X3,X4) ),
select2 ).
cnf(c_0_26,axiom,
( range(X1,X2,cons(X1,X3))
| ~ less(X1,X2)
| ~ sum(X1,s(n0),X4)
| ~ range(X4,X2,X3) ),
make_list_of_numbers1 ).
cnf(c_0_27,axiom,
( sum(X1,s(X2),s(X3))
| ~ sum(X1,X2,X3) ),
add ).
cnf(c_0_28,plain,
( do_queens(X1,X2,cons(X3,cons(X4,cons(X5,X2))))
| attack(X3,cons(X4,cons(X5,X2)))
| attack(X4,cons(X5,X2))
| attack(X5,X2)
| ~ select(X5,X1,cons(X3,X6))
| ~ select(X4,X6,empty_list) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( range(X1,X2,cons(X1,X3))
| ~ sum(X1,n0,X4)
| ~ less(X1,X2)
| ~ range(s(X4),X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
range(X1,X1,cons(X1,empty_list)),
make_list_of_numbers2 ).
cnf(c_0_31,plain,
( do_queens(cons(X1,cons(X2,X3)),X4,cons(X2,cons(X5,cons(X1,X4))))
| attack(X2,cons(X5,cons(X1,X4)))
| attack(X5,cons(X1,X4))
| attack(X1,X4)
| ~ select(X5,X3,empty_list) ),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_32,plain,
( range(X1,s(X2),cons(X1,cons(s(X2),empty_list)))
| ~ sum(X1,n0,X2)
| ~ less(X1,s(X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( do_queens(X1,X2,cons(X3,cons(X4,cons(X5,cons(X6,X2)))))
| attack(X3,cons(X4,cons(X5,cons(X6,X2))))
| attack(X4,cons(X5,cons(X6,X2)))
| attack(X5,cons(X6,X2))
| attack(X6,X2)
| ~ select(X6,X1,cons(X5,cons(X3,X7)))
| ~ select(X4,X7,empty_list) ),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_34,axiom,
( queens(X1,X2)
| ~ sum(X1,s(n0),X3)
| ~ sum(X1,X1,X4)
| ~ range(X3,X4,X5)
| ~ do_queens(X5,empty_list,X2) ),
set_up_queens ).
cnf(c_0_35,plain,
( range(X1,s(X2),cons(X1,cons(s(X3),cons(s(X2),empty_list))))
| ~ sum(s(X3),n0,X2)
| ~ sum(X1,n0,X3)
| ~ less(s(X3),s(X2))
| ~ less(X1,s(X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
cnf(c_0_36,plain,
( do_queens(cons(X1,X2),X3,cons(X4,cons(X5,cons(X1,cons(X6,X3)))))
| attack(X4,cons(X5,cons(X1,cons(X6,X3))))
| attack(X5,cons(X1,cons(X6,X3)))
| attack(X1,cons(X6,X3))
| attack(X6,X3)
| ~ select(X6,X2,cons(X4,X7))
| ~ select(X5,X7,empty_list) ),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_37,plain,
( queens(X1,X2)
| ~ do_queens(X3,empty_list,X2)
| ~ sum(X1,n0,X4)
| ~ sum(X1,X1,X5)
| ~ range(s(X4),X5,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_27]) ).
cnf(c_0_38,plain,
( range(X1,s(X2),cons(X1,cons(s(X3),cons(s(X4),cons(s(X2),empty_list)))))
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X3),n0,X4)
| ~ sum(X1,n0,X3)
| ~ less(s(X4),s(X2))
| ~ less(s(X3),s(X2))
| ~ less(X1,s(X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_35]) ).
cnf(c_0_39,plain,
( do_queens(cons(X1,cons(X2,X3)),X4,cons(X2,cons(X5,cons(X1,cons(X6,X4)))))
| attack(X2,cons(X5,cons(X1,cons(X6,X4))))
| attack(X5,cons(X1,cons(X6,X4)))
| attack(X1,cons(X6,X4))
| attack(X6,X4)
| ~ select(X5,X7,empty_list)
| ~ select(X6,X3,X7) ),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_40,axiom,
~ diagonal_attack(X1,X2,empty_list),
check_diagonals2 ).
cnf(c_0_41,axiom,
( diagonal_attack(X1,s(n0),X2)
| ~ attack(X1,X2) ),
attack ).
cnf(c_0_42,plain,
( queens(X1,X2)
| ~ do_queens(cons(s(X3),cons(s(X4),cons(s(X5),cons(s(X6),empty_list)))),empty_list,X2)
| ~ sum(s(X5),n0,X6)
| ~ sum(s(X4),n0,X5)
| ~ sum(s(X3),n0,X4)
| ~ sum(X1,X1,s(X6))
| ~ sum(X1,n0,X3)
| ~ less(s(X5),s(X6))
| ~ less(s(X4),s(X6))
| ~ less(s(X3),s(X6)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( do_queens(cons(X1,cons(X2,X3)),X4,cons(X2,cons(X5,cons(X1,cons(X6,X4)))))
| attack(X2,cons(X5,cons(X1,cons(X6,X4))))
| attack(X5,cons(X1,cons(X6,X4)))
| attack(X1,cons(X6,X4))
| attack(X6,X4)
| ~ select(X6,X3,cons(X5,empty_list)) ),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_44,plain,
~ attack(X1,empty_list),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( queens(X1,cons(s(X2),cons(X3,cons(s(X4),cons(X5,empty_list)))))
| attack(s(X2),cons(X3,cons(s(X4),cons(X5,empty_list))))
| attack(X3,cons(s(X4),cons(X5,empty_list)))
| attack(s(X4),cons(X5,empty_list))
| ~ select(X5,cons(s(X6),cons(s(X7),empty_list)),cons(X3,empty_list))
| ~ sum(s(X6),n0,X7)
| ~ sum(s(X2),n0,X6)
| ~ sum(s(X4),n0,X2)
| ~ sum(X1,X1,s(X7))
| ~ sum(X1,n0,X4)
| ~ less(s(X6),s(X7))
| ~ less(s(X2),s(X7))
| ~ less(s(X4),s(X7)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_46,plain,
( queens(X1,cons(s(X2),cons(s(X3),cons(s(X4),cons(s(X5),empty_list)))))
| attack(s(X2),cons(s(X3),cons(s(X4),cons(s(X5),empty_list))))
| attack(s(X3),cons(s(X4),cons(s(X5),empty_list)))
| attack(s(X4),cons(s(X5),empty_list))
| ~ sum(s(X5),n0,X3)
| ~ sum(s(X2),n0,X5)
| ~ sum(s(X4),n0,X2)
| ~ sum(X1,X1,s(X3))
| ~ sum(X1,n0,X4)
| ~ less(s(X5),s(X3))
| ~ less(s(X2),s(X3))
| ~ less(s(X4),s(X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_22]) ).
cnf(c_0_47,axiom,
( same(X5,X1)
| same(X6,X1)
| diagonal_attack(X1,X7,X4)
| ~ diagonal_attack(X1,X2,cons(X3,X4))
| ~ sum(X5,X2,X3)
| ~ sum(X3,X2,X6)
| ~ sum(X2,s(n0),X7) ),
check_diagonals1 ).
cnf(c_0_48,plain,
( queens(s(X1),cons(s(X2),cons(s(X3),cons(s(X4),cons(s(X5),empty_list)))))
| attack(s(X2),cons(s(X3),cons(s(X4),cons(s(X5),empty_list))))
| attack(s(X3),cons(s(X4),cons(s(X5),empty_list)))
| attack(s(X4),cons(s(X5),empty_list))
| ~ sum(s(X5),n0,X3)
| ~ sum(s(X2),n0,X5)
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X1),n0,X4)
| ~ sum(s(X1),X1,X3)
| ~ less(s(X5),s(X3))
| ~ less(s(X2),s(X3))
| ~ less(s(X4),s(X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
cnf(c_0_49,plain,
( diagonal_attack(X1,s(X2),X3)
| same(X4,X1)
| same(X5,X1)
| ~ diagonal_attack(X1,X6,cons(X7,X3))
| ~ sum(X6,n0,X2)
| ~ sum(X4,X6,X7)
| ~ sum(X7,X6,X5) ),
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_50,plain,
( queens(s(s(X1)),cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X5),empty_list)))))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X5),empty_list))))
| attack(s(s(X3)),cons(s(X4),cons(s(X5),empty_list)))
| attack(s(X4),cons(s(X5),empty_list))
| ~ sum(s(X5),n0,s(X3))
| ~ sum(s(s(X1)),n0,X4)
| ~ sum(s(s(X1)),X1,X3)
| ~ sum(s(X2),n0,X5)
| ~ sum(s(X4),n0,X2)
| ~ less(s(X5),s(s(X3)))
| ~ less(s(X2),s(s(X3)))
| ~ less(s(X4),s(s(X3))) ),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_51,plain,
( diagonal_attack(X1,s(X2),X3)
| same(X4,X1)
| same(X5,X1)
| ~ attack(X1,cons(X6,X3))
| ~ sum(s(n0),n0,X2)
| ~ sum(X5,s(n0),X6)
| ~ sum(X6,s(n0),X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
cnf(c_0_52,plain,
( queens(s(s(s(X1))),cons(s(X2),cons(s(s(s(X3))),cons(s(X4),cons(s(X5),empty_list)))))
| attack(s(X2),cons(s(s(s(X3))),cons(s(X4),cons(s(X5),empty_list))))
| attack(s(s(s(X3))),cons(s(X4),cons(s(X5),empty_list)))
| attack(s(X4),cons(s(X5),empty_list))
| ~ sum(s(X5),n0,s(s(X3)))
| ~ sum(s(s(s(X1))),n0,X4)
| ~ sum(s(s(s(X1))),X1,X3)
| ~ sum(s(X2),n0,X5)
| ~ sum(s(X4),n0,X2)
| ~ less(s(X5),s(s(s(X3))))
| ~ less(s(X2),s(s(s(X3))))
| ~ less(s(X4),s(s(s(X3)))) ),
inference(spm,[status(thm)],[c_0_50,c_0_27]) ).
cnf(c_0_53,plain,
( diagonal_attack(X1,s(X2),X3)
| same(X4,X1)
| same(X5,X1)
| ~ attack(X1,cons(s(X6),X3))
| ~ sum(s(X6),s(n0),X5)
| ~ sum(s(n0),n0,X2)
| ~ sum(X4,n0,X6) ),
inference(spm,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_54,plain,
( queens(s(s(s(s(X1)))),cons(s(X2),cons(s(s(s(s(X3)))),cons(s(X4),cons(s(X5),empty_list)))))
| attack(s(X2),cons(s(s(s(s(X3)))),cons(s(X4),cons(s(X5),empty_list))))
| attack(s(s(s(s(X3)))),cons(s(X4),cons(s(X5),empty_list)))
| attack(s(X4),cons(s(X5),empty_list))
| ~ sum(s(X5),n0,s(s(s(X3))))
| ~ sum(s(s(s(s(X1)))),n0,X4)
| ~ sum(s(s(s(s(X1)))),X1,X3)
| ~ sum(s(X2),n0,X5)
| ~ sum(s(X4),n0,X2)
| ~ less(s(X5),s(s(s(s(X3)))))
| ~ less(s(X2),s(s(s(s(X3)))))
| ~ less(s(X4),s(s(s(s(X3))))) ),
inference(spm,[status(thm)],[c_0_52,c_0_27]) ).
cnf(c_0_55,axiom,
sum(X1,n0,X1),
add_0 ).
cnf(c_0_56,negated_conjecture,
~ queens(s(s(s(s(n0)))),X1),
place_queens ).
cnf(c_0_57,plain,
( diagonal_attack(X1,s(X2),X3)
| same(s(X4),X1)
| same(X5,X1)
| ~ attack(X1,cons(s(X6),X3))
| ~ sum(s(n0),n0,X2)
| ~ sum(s(X6),n0,X4)
| ~ sum(X5,n0,X6) ),
inference(spm,[status(thm)],[c_0_53,c_0_27]) ).
cnf(c_0_58,plain,
( attack(s(X1),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X2),cons(s(X3),empty_list))))
| attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X2),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(X3),empty_list))
| ~ sum(s(X3),n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(n0)))),n0,X2)
| ~ sum(s(X1),n0,X3)
| ~ sum(s(X2),n0,X1)
| ~ less(s(X3),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(X2),empty_list)))
| attack(s(X1),cons(s(X2),empty_list))
| diagonal_attack(s(X3),s(X4),cons(s(X1),cons(s(X2),empty_list)))
| same(s(X5),s(X3))
| same(X6,s(X3))
| ~ sum(s(s(s(s(s(s(s(s(n0)))))))),n0,X5)
| ~ sum(s(X2),n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(X6,n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X4)
| ~ sum(s(X3),n0,X2)
| ~ sum(s(X1),n0,X3)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X3),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(X2),empty_list)))
| attack(s(X1),cons(s(X2),empty_list))
| diagonal_attack(s(X3),s(X4),cons(s(X1),cons(s(X2),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X3))
| same(X5,s(X3))
| ~ sum(s(X2),n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(X5,n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X4)
| ~ sum(s(X3),n0,X2)
| ~ sum(s(X1),n0,X3)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X3),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_61,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(X2),empty_list)))
| attack(s(X1),cons(s(X2),empty_list))
| diagonal_attack(s(X3),s(X4),cons(s(X1),cons(s(X2),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X3))
| same(s(s(s(s(s(s(s(n0))))))),s(X3))
| ~ sum(s(X2),n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X4)
| ~ sum(s(X3),n0,X2)
| ~ sum(s(X1),n0,X3)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X3),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_60,c_0_55]) ).
cnf(c_0_62,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_61,c_0_55]) ).
cnf(c_0_63,axiom,
( less(s(X1),s(X2))
| ~ less(X1,X2) ),
less2 ).
cnf(c_0_64,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0))))))))
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(s(s(s(s(n0))))),s(s(s(s(s(s(n0)))))))
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_66,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(s(s(s(n0)))),s(s(s(s(s(n0))))))
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_65,c_0_63]) ).
cnf(c_0_67,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(s(s(n0))),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_66,c_0_63]) ).
cnf(c_0_68,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(s(n0)),s(s(s(n0)))) ),
inference(spm,[status(thm)],[c_0_67,c_0_63]) ).
cnf(c_0_69,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(n0),s(s(n0))) ),
inference(spm,[status(thm)],[c_0_68,c_0_63]) ).
cnf(c_0_70,axiom,
less(n0,s(X1)),
less1 ).
cnf(c_0_71,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_63]),c_0_70])]) ).
cnf(c_0_72,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(s(X1),s(s(s(s(s(s(s(s(n0)))))))))
| ~ less(X2,s(s(s(s(s(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_71,c_0_63]) ).
cnf(c_0_73,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(X2),s(X3),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(X2))
| same(s(s(s(s(s(s(s(n0))))))),s(X2))
| ~ sum(s(X2),n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X3)
| ~ sum(s(X1),n0,X2)
| ~ less(X2,s(s(s(s(s(s(s(n0))))))))
| ~ less(X1,s(s(s(s(s(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_72,c_0_63]) ).
cnf(c_0_74,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X2),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(X1),n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X2)
| ~ less(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(n0))))))))
| ~ less(X1,s(s(s(s(s(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_73,c_0_55]) ).
cnf(c_0_75,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X2),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(X1),n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X2)
| ~ less(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| ~ less(X1,s(s(s(s(s(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_74,c_0_63]) ).
cnf(c_0_76,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X2),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(X1),n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X2)
| ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| ~ less(X1,s(s(s(s(s(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_75,c_0_63]) ).
cnf(c_0_77,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X2),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(X1),n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X2)
| ~ less(X1,s(s(s(s(s(s(s(n0))))))))
| ~ less(s(s(n0)),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_78,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X2),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(X1),n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X2)
| ~ less(X1,s(s(s(s(s(s(s(n0))))))))
| ~ less(s(n0),s(s(s(n0)))) ),
inference(spm,[status(thm)],[c_0_77,c_0_63]) ).
cnf(c_0_79,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X2),cons(s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(X1),n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(n0)))),n0,X1)
| ~ sum(s(n0),n0,X2)
| ~ less(X1,s(s(s(s(s(s(s(n0)))))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_63]),c_0_70])]) ).
cnf(c_0_80,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(n0),n0,X1)
| ~ less(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_55]),c_0_55])]) ).
cnf(c_0_81,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(n0),n0,X1)
| ~ less(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_80,c_0_63]) ).
cnf(c_0_82,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(n0),n0,X1)
| ~ less(s(s(n0)),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_81,c_0_63]) ).
cnf(c_0_83,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(n0),n0,X1)
| ~ less(s(n0),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_82,c_0_63]) ).
cnf(c_0_84,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(n0),n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_63]),c_0_70])]) ).
cnf(c_0_85,plain,
( attack(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(n0)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_84,c_0_55]) ).
cnf(c_0_86,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(n0)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(X2),s(s(s(s(s(s(s(s(n0)))))))))
| same(X3,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(s(s(s(s(s(n0))))),n0,X2)
| ~ sum(X3,n0,s(s(s(s(n0)))))
| ~ sum(s(n0),n0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_85]) ).
cnf(c_0_87,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(n0)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(X2,n0,s(s(s(s(n0)))))
| ~ sum(s(n0),n0,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_55]) ).
cnf(c_0_88,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(n0)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(s(n0),n0,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_55]) ).
cnf(c_0_89,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(n0)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_88,c_0_55]) ).
cnf(c_0_90,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| same(X3,s(s(s(s(s(s(n0)))))))
| ~ sum(X3,s(s(n0)),s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(s(n0))))),s(s(n0)),X2)
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_89]) ).
cnf(c_0_91,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| same(X3,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(n0))))),s(s(n0)),X3)
| ~ sum(X2,s(n0),s(s(s(s(n0)))))
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_27]) ).
cnf(c_0_92,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(X2),s(s(s(s(s(s(n0)))))))
| same(X3,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(n0))))),s(n0),X2)
| ~ sum(X3,s(n0),s(s(s(s(n0)))))
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_27]) ).
cnf(c_0_93,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(X2)),s(s(s(s(s(s(n0)))))))
| same(X3,s(s(s(s(s(s(n0)))))))
| ~ sum(X3,s(n0),s(s(s(s(n0)))))
| ~ sum(s(s(s(s(s(n0))))),n0,X2)
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_27]) ).
cnf(c_0_94,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(X2)),s(s(s(s(s(s(n0)))))))
| same(X3,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(n0))))),n0,X2)
| ~ sum(X3,n0,s(s(s(n0))))
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_27]) ).
cnf(c_0_95,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(X2,n0,s(s(s(n0))))
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_55]) ).
cnf(c_0_96,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(n0)),n0,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_55]) ).
cnf(c_0_97,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_96,c_0_55]) ).
cnf(c_0_98,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(X2,s(s(n0)),s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)
| ~ sum(s(s(n0)),n0,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_97]),c_0_40]) ).
cnf(c_0_99,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(X1,s(s(n0)),s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_55]) ).
cnf(c_0_100,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)
| ~ sum(X2,s(n0),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_99,c_0_27]) ).
cnf(c_0_101,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(X1),s(s(s(s(s(s(s(s(n0)))))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| ~ sum(X2,s(n0),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_100,c_0_27]) ).
cnf(c_0_102,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(X1)),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(X2,s(n0),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_27]) ).
cnf(c_0_103,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(X1)),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| ~ sum(X2,n0,s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_102,c_0_27]) ).
cnf(c_0_104,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(s(s(n0)))))))))
| ~ sum(X1,n0,s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_103,c_0_55]) ).
cnf(c_0_105,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(s(s(n0))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_104,c_0_55]) ).
cnf(c_0_106,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(X2,s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X1)
| ~ sum(s(s(s(n0))),n0,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_105]),c_0_40]) ).
cnf(c_0_107,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X2)
| ~ sum(X1,s(s(n0)),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(n0))),n0,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_27]) ).
cnf(c_0_108,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(X1),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)
| ~ sum(X2,s(s(n0)),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(n0))),n0,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_27]) ).
cnf(c_0_109,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(X1)),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(X2,s(s(n0)),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| ~ sum(s(s(s(n0))),n0,X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_27]) ).
cnf(c_0_110,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(X1)),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| ~ sum(X2,s(n0),s(s(s(s(s(n0))))))
| ~ sum(s(s(s(n0))),n0,X3) ),
inference(spm,[status(thm)],[c_0_109,c_0_27]) ).
cnf(c_0_111,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(X1)),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| ~ sum(X2,s(n0),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_110,c_0_55]) ).
cnf(c_0_112,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(X1))),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| ~ sum(X2,s(n0),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_111,c_0_27]) ).
cnf(c_0_113,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,s(n0),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_112,c_0_55]) ).
cnf(c_0_114,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| ~ sum(X1,n0,s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_113,c_0_27]) ).
cnf(c_0_115,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_114,c_0_55]) ).
cnf(c_0_116,plain,
( same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(X1),s(s(s(s(s(n0))))))
| same(X2,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| ~ sum(X2,n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(n0),n0,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_115]),c_0_40]) ).
cnf(c_0_117,plain,
( same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(X1),s(s(s(s(s(n0))))))
| same(X2,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| ~ sum(X2,n0,s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_116,c_0_55]) ).
cnf(c_0_118,axiom,
( same(X1,X2)
| ~ same(s(X1),s(X2)) ),
same_definition3 ).
cnf(c_0_119,plain,
( same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(n0))))))
| ~ sum(X1,n0,s(s(s(s(s(s(n0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_55]),c_0_118]) ).
cnf(c_0_120,plain,
( same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_55]),c_0_118]) ).
cnf(c_0_121,plain,
( same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_120]) ).
cnf(c_0_122,plain,
( same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_121]) ).
cnf(c_0_123,plain,
( same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_122]),c_0_118]) ).
cnf(c_0_124,plain,
( same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0)))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_123]) ).
cnf(c_0_125,plain,
( same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_124]),c_0_118]) ).
cnf(c_0_126,plain,
( same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0)))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_125]) ).
cnf(c_0_127,plain,
( same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_126]),c_0_118]) ).
cnf(c_0_128,plain,
( same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_127]) ).
cnf(c_0_129,plain,
( same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_128]) ).
cnf(c_0_130,plain,
( same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(n0)))) ),
inference(spm,[status(thm)],[c_0_118,c_0_129]) ).
cnf(c_0_131,plain,
( same(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_130]) ).
cnf(c_0_132,plain,
( same(s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))
| same(s(s(s(s(s(s(n0)))))),s(s(n0))) ),
inference(spm,[status(thm)],[c_0_118,c_0_131]) ).
cnf(c_0_133,plain,
( same(s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))
| same(s(s(s(s(s(s(n0)))))),s(s(n0)))
| same(s(s(s(n0))),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_132]) ).
cnf(c_0_134,plain,
( same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))
| same(s(s(s(n0))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(n0)))))),s(s(n0)))
| same(s(s(n0)),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_133]) ).
cnf(c_0_135,plain,
( same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))
| same(s(s(n0)),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(n0)))
| same(s(s(s(n0))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(n0))) ),
inference(spm,[status(thm)],[c_0_118,c_0_134]) ).
cnf(c_0_136,plain,
( same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(n0)))))),s(s(n0)))
| same(s(s(n0)),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(n0))))),s(s(n0)))
| same(s(s(s(s(n0)))),s(s(s(n0)))) ),
inference(spm,[status(thm)],[c_0_118,c_0_135]) ).
cnf(c_0_137,plain,
( same(s(s(n0)),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(s(s(n0)))))),s(s(n0)))
| same(s(s(s(n0))),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(n0))))
| same(s(s(s(s(s(n0))))),s(s(n0)))
| same(s(s(n0)),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_136]) ).
cnf(c_0_138,plain,
( same(s(s(s(n0))),s(s(s(s(s(n0))))))
| same(s(s(n0)),s(s(s(s(s(s(n0)))))))
| same(s(s(n0)),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(n0)))
| same(s(s(s(s(n0)))),s(s(s(n0))))
| same(s(s(s(s(s(n0))))),s(n0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_137]) ).
cnf(c_0_139,plain,
( same(s(s(n0)),s(s(s(s(s(s(n0)))))))
| same(s(s(s(s(n0)))),s(s(s(n0))))
| same(s(s(s(s(s(n0))))),s(s(n0)))
| same(s(s(n0)),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(n0))
| same(s(s(n0)),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_138]) ).
cnf(c_0_140,plain,
( same(s(s(n0)),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(s(n0)))
| same(s(s(s(s(n0)))),s(s(s(n0))))
| same(s(s(n0)),s(s(s(s(n0)))))
| same(s(s(s(s(s(n0))))),s(n0))
| same(s(n0),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_139]) ).
cnf(c_0_141,plain,
( same(s(s(s(s(n0)))),s(s(s(n0))))
| same(s(s(n0)),s(s(s(s(s(n0))))))
| same(s(n0),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(n0))
| same(s(s(n0)),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(n0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_140]) ).
cnf(c_0_142,plain,
( same(s(s(n0)),s(s(s(s(s(n0))))))
| same(s(s(n0)),s(s(s(s(n0)))))
| same(s(s(s(s(s(n0))))),s(n0))
| same(s(n0),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(n0))
| same(s(s(s(n0))),s(s(n0))) ),
inference(spm,[status(thm)],[c_0_118,c_0_141]) ).
cnf(c_0_143,plain,
( same(s(n0),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(n0))))),s(n0))
| same(s(s(n0)),s(s(s(s(n0)))))
| same(s(s(s(n0))),s(s(n0)))
| same(s(s(s(s(n0)))),s(n0))
| same(s(n0),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_118,c_0_142]) ).
cnf(c_0_144,axiom,
~ same(s(X1),n0),
same_definition1 ).
cnf(c_0_145,plain,
( same(s(s(n0)),s(s(s(s(n0)))))
| same(s(n0),s(s(s(s(s(n0))))))
| same(s(n0),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(n0))
| same(s(s(s(n0))),s(s(n0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_143]),c_0_144]) ).
cnf(c_0_146,plain,
( same(s(n0),s(s(s(s(s(n0))))))
| same(s(s(s(n0))),s(s(n0)))
| same(s(s(s(s(n0)))),s(n0))
| same(s(n0),s(s(s(s(n0)))))
| same(s(n0),s(s(s(n0)))) ),
inference(spm,[status(thm)],[c_0_118,c_0_145]) ).
cnf(c_0_147,axiom,
~ same(n0,s(X1)),
same_definition2 ).
cnf(c_0_148,plain,
( same(s(n0),s(s(s(s(n0)))))
| same(s(s(s(s(n0)))),s(n0))
| same(s(s(s(n0))),s(s(n0)))
| same(s(n0),s(s(s(n0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_146]),c_0_147]) ).
cnf(c_0_149,plain,
( same(s(s(s(n0))),s(s(n0)))
| same(s(n0),s(s(s(s(n0)))))
| same(s(n0),s(s(s(n0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_148]),c_0_144]) ).
cnf(c_0_150,plain,
( same(s(n0),s(s(s(s(n0)))))
| same(s(n0),s(s(s(n0))))
| same(s(s(n0)),s(n0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_149]) ).
cnf(c_0_151,plain,
( same(s(n0),s(s(s(n0))))
| same(s(s(n0)),s(n0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_150]),c_0_147]) ).
cnf(c_0_152,plain,
same(s(s(n0)),s(n0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_151]),c_0_147]) ).
cnf(c_0_153,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_152]),c_0_144]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ034-1.004 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 22:21:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 6.57/6.67 % Version : CSE_E---1.5
% 6.57/6.67 % Problem : theBenchmark.p
% 6.57/6.67 % Proof found
% 6.57/6.67 % SZS status Theorem for theBenchmark.p
% 6.57/6.67 % SZS output start Proof
% See solution above
% 6.57/6.69 % Total time : 6.090000 s
% 6.57/6.69 % SZS output end Proof
% 6.57/6.69 % Total time : 6.094000 s
%------------------------------------------------------------------------------