%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ034-1.004 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 02:02:22 PM UTC 2026
% Result : Unsatisfiable 19.63s 3.02s
% Output : CNFRefutation 19.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 110
% Number of leaves : 18
% Syntax : Number of clauses : 169 ( 25 unt; 117 nHn; 145 RR)
% Number of literals : 1027 ( 0 equ; 308 neg)
% Maximal clause size : 13 ( 6 avg)
% Maximal term depth : 12 ( 4 avg)
% 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 : 346 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(place_a_queen1,axiom,
( ~ do_queens(X5,cons(X4,X2),X3)
| ~ select(X4,X1,X5)
| attack(X4,X2)
| do_queens(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',place_a_queen1) ).
cnf(place_a_queen2,axiom,
do_queens(empty_list,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',place_a_queen2) ).
cnf(select1,axiom,
select(X1,cons(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select1) ).
cnf(select2,axiom,
( ~ select(X1,X3,X4)
| select(X1,cons(X2,X3),cons(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select2) ).
cnf(make_list_of_numbers1,axiom,
( ~ range(X4,X2,X3)
| ~ sum(X1,s(n0),X4)
| ~ less(X1,X2)
| range(X1,X2,cons(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_list_of_numbers1) ).
cnf(add,axiom,
( ~ sum(X1,X2,X3)
| sum(X1,s(X2),s(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add) ).
cnf(make_list_of_numbers2,axiom,
range(X1,X1,cons(X1,empty_list)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_list_of_numbers2) ).
cnf(set_up_queens,axiom,
( ~ do_queens(X5,empty_list,X2)
| ~ range(X3,X4,X5)
| ~ sum(X1,X1,X4)
| ~ sum(X1,s(n0),X3)
| queens(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_up_queens) ).
cnf(check_diagonals2,axiom,
~ diagonal_attack(X1,X2,empty_list),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',check_diagonals2) ).
cnf(attack,axiom,
( ~ attack(X1,X2)
| diagonal_attack(X1,s(n0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',attack) ).
cnf(add_0,axiom,
sum(X1,n0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_0) ).
cnf(less2,axiom,
( ~ less(X1,X2)
| less(s(X1),s(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
cnf(place_queens,negated_conjecture,
~ queens(s(s(s(s(n0)))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',place_queens) ).
cnf(less1,axiom,
less(n0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
cnf(check_diagonals1,axiom,
( ~ sum(X2,s(n0),X7)
| ~ sum(X3,X2,X6)
| ~ sum(X5,X2,X3)
| ~ diagonal_attack(X1,X2,cons(X3,X4))
| diagonal_attack(X1,X7,X4)
| same(X6,X1)
| same(X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',check_diagonals1) ).
cnf(same_definition3,axiom,
( ~ same(s(X1),s(X2))
| same(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_definition3) ).
cnf(same_definition1,axiom,
~ same(s(X1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_definition1) ).
cnf(same_definition2,axiom,
~ same(n0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_definition2) ).
cnf(c_0_18,plain,
( ~ do_queens(X5,cons(X4,X2),X3)
| ~ select(X4,X1,X5)
| attack(X4,X2)
| do_queens(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[place_a_queen1]) ).
cnf(c_0_19,plain,
( ~ do_queens(X5,cons(X4,X2),X3)
| ~ select(X4,X1,X5)
| attack(X4,X2)
| do_queens(X1,X2,X3) ),
c_0_18 ).
cnf(c_0_20,axiom,
do_queens(empty_list,X1,X1),
place_a_queen2 ).
cnf(c_0_21,plain,
( ~ select(X3,X1,empty_list)
| attack(X3,X2)
| do_queens(X1,X2,cons(X3,X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,axiom,
select(X1,cons(X1,X2),X2),
select1 ).
cnf(c_0_23,plain,
( attack(X1,X2)
| do_queens(cons(X1,empty_list),X2,cons(X1,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
( ~ select(X1,X3,X4)
| select(X1,cons(X2,X3),cons(X2,X4)) ),
inference(fof_simplification,[status(thm)],[select2]) ).
cnf(c_0_25,plain,
( ~ select(X4,X1,cons(X3,empty_list))
| attack(X4,X2)
| attack(X3,cons(X4,X2))
| do_queens(X1,X2,cons(X3,cons(X4,X2))) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_26,plain,
( ~ select(X1,X3,X4)
| select(X1,cons(X2,X3),cons(X2,X4)) ),
c_0_24 ).
cnf(c_0_27,plain,
( ~ select(X4,X2,empty_list)
| attack(X4,X3)
| attack(X1,cons(X4,X3))
| do_queens(cons(X1,X2),X3,cons(X1,cons(X4,X3))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
( ~ range(X4,X2,X3)
| ~ sum(X1,s(n0),X4)
| ~ less(X1,X2)
| range(X1,X2,cons(X1,X3)) ),
inference(fof_simplification,[status(thm)],[make_list_of_numbers1]) ).
cnf(c_0_29,plain,
( ~ sum(X1,X2,X3)
| sum(X1,s(X2),s(X3)) ),
inference(fof_simplification,[status(thm)],[add]) ).
cnf(c_0_30,plain,
( attack(X2,X3)
| attack(X1,cons(X2,X3))
| do_queens(cons(X1,cons(X2,empty_list)),X3,cons(X1,cons(X2,X3))) ),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_31,plain,
( ~ range(X4,X2,X3)
| ~ sum(X1,s(n0),X4)
| ~ less(X1,X2)
| range(X1,X2,cons(X1,X3)) ),
c_0_28 ).
cnf(c_0_32,plain,
( ~ sum(X1,X2,X3)
| sum(X1,s(X2),s(X3)) ),
c_0_29 ).
cnf(c_0_33,plain,
( ~ select(X5,X1,cons(X3,cons(X4,empty_list)))
| attack(X5,X2)
| attack(X4,cons(X5,X2))
| attack(X3,cons(X4,cons(X5,X2)))
| do_queens(X1,X2,cons(X3,cons(X4,cons(X5,X2)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_34,plain,
( ~ range(s(X4),X2,X3)
| ~ less(X1,X2)
| ~ sum(X1,n0,X4)
| range(X1,X2,cons(X1,X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,axiom,
range(X1,X1,cons(X1,empty_list)),
make_list_of_numbers2 ).
cnf(c_0_36,plain,
( attack(X1,X4)
| attack(X3,cons(X1,X4))
| attack(X2,cons(X3,cons(X1,X4)))
| do_queens(cons(X1,cons(X2,cons(X3,empty_list))),X4,cons(X2,cons(X3,cons(X1,X4)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_37,plain,
( ~ do_queens(X5,empty_list,X2)
| ~ range(X3,X4,X5)
| ~ sum(X1,X1,X4)
| ~ sum(X1,s(n0),X3)
| queens(X1,X2) ),
inference(fof_simplification,[status(thm)],[set_up_queens]) ).
cnf(c_0_38,plain,
( ~ less(X1,s(X2))
| ~ sum(X1,n0,X2)
| range(X1,s(X2),cons(X1,cons(s(X2),empty_list))) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( ~ select(X6,X1,cons(X5,cons(X3,cons(X4,empty_list))))
| attack(X6,X2)
| attack(X5,cons(X6,X2))
| attack(X4,cons(X5,cons(X6,X2)))
| attack(X3,cons(X4,cons(X5,cons(X6,X2))))
| do_queens(X1,X2,cons(X3,cons(X4,cons(X5,cons(X6,X2))))) ),
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_40,plain,
( ~ do_queens(X5,empty_list,X2)
| ~ range(X3,X4,X5)
| ~ sum(X1,X1,X4)
| ~ sum(X1,s(n0),X3)
| queens(X1,X2) ),
c_0_37 ).
cnf(c_0_41,plain,
( ~ less(X1,s(X2))
| ~ less(s(X3),s(X2))
| ~ sum(X1,n0,X3)
| ~ sum(s(X3),n0,X2)
| range(X1,s(X2),cons(X1,cons(s(X3),cons(s(X2),empty_list)))) ),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_42,plain,
( ~ select(X6,X2,cons(X4,cons(X5,empty_list)))
| attack(X6,X3)
| attack(X1,cons(X6,X3))
| attack(X5,cons(X1,cons(X6,X3)))
| attack(X4,cons(X5,cons(X1,cons(X6,X3))))
| do_queens(cons(X1,X2),X3,cons(X4,cons(X5,cons(X1,cons(X6,X3))))) ),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
cnf(c_0_43,plain,
~ diagonal_attack(X1,X2,empty_list),
inference(fof_simplification,[status(thm)],[check_diagonals2]) ).
cnf(c_0_44,plain,
( ~ attack(X1,X2)
| diagonal_attack(X1,s(n0),X2) ),
inference(fof_simplification,[status(thm)],[attack]) ).
cnf(c_0_45,plain,
( ~ range(s(X4),X5,X3)
| ~ sum(X1,X1,X5)
| ~ sum(X1,n0,X4)
| ~ do_queens(X3,empty_list,X2)
| queens(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_46,plain,
( ~ less(X1,s(X2))
| ~ less(s(X3),s(X2))
| ~ less(s(X4),s(X2))
| ~ sum(X1,n0,X3)
| ~ sum(s(X3),n0,X4)
| ~ sum(s(X4),n0,X2)
| range(X1,s(X2),cons(X1,cons(s(X3),cons(s(X4),cons(s(X2),empty_list))))) ),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_47,plain,
( ~ select(X6,X3,cons(X5,empty_list))
| attack(X6,X4)
| attack(X1,cons(X6,X4))
| attack(X5,cons(X1,cons(X6,X4)))
| attack(X2,cons(X5,cons(X1,cons(X6,X4))))
| do_queens(cons(X1,cons(X2,X3)),X4,cons(X2,cons(X5,cons(X1,cons(X6,X4))))) ),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_48,plain,
~ diagonal_attack(X1,X2,empty_list),
c_0_43 ).
cnf(c_0_49,plain,
( ~ attack(X1,X2)
| diagonal_attack(X1,s(n0),X2) ),
c_0_44 ).
cnf(c_0_50,plain,
( ~ less(s(X3),s(X6))
| ~ less(s(X4),s(X6))
| ~ less(s(X5),s(X6))
| ~ sum(X1,n0,X3)
| ~ sum(X1,X1,s(X6))
| ~ sum(s(X3),n0,X4)
| ~ sum(s(X4),n0,X5)
| ~ sum(s(X5),n0,X6)
| ~ do_queens(cons(s(X3),cons(s(X4),cons(s(X5),cons(s(X6),empty_list)))),empty_list,X2)
| queens(X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( attack(X3,X5)
| attack(X1,cons(X3,X5))
| attack(X4,cons(X1,cons(X3,X5)))
| attack(X2,cons(X4,cons(X1,cons(X3,X5))))
| do_queens(cons(X1,cons(X2,cons(X3,cons(X4,empty_list)))),X5,cons(X2,cons(X4,cons(X1,cons(X3,X5))))) ),
inference(spm,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_52,plain,
~ attack(X1,empty_list),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
( ~ less(s(X4),s(X3))
| ~ less(s(X2),s(X3))
| ~ less(s(X5),s(X3))
| ~ sum(X1,n0,X4)
| ~ sum(X1,X1,s(X3))
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X5)
| ~ sum(s(X5),n0,X3)
| attack(s(X4),cons(s(X5),empty_list))
| attack(s(X3),cons(s(X4),cons(s(X5),empty_list)))
| attack(s(X2),cons(s(X3),cons(s(X4),cons(s(X5),empty_list))))
| queens(X1,cons(s(X2),cons(s(X3),cons(s(X4),cons(s(X5),empty_list))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_54,axiom,
sum(X1,n0,X1),
add_0 ).
cnf(c_0_55,plain,
( ~ less(X1,X2)
| less(s(X1),s(X2)) ),
inference(fof_simplification,[status(thm)],[less2]) ).
cnf(c_0_56,plain,
( ~ less(s(X4),s(s(X3)))
| ~ less(s(X2),s(s(X3)))
| ~ less(s(X3),s(s(X3)))
| ~ sum(X1,n0,X4)
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X3)
| ~ sum(X1,X1,s(s(X3)))
| attack(s(X4),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(X4),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))
| queens(X1,cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
( ~ less(X1,X2)
| less(s(X1),s(X2)) ),
c_0_55 ).
cnf(c_0_58,plain,
( ~ less(X3,s(X3))
| ~ less(s(X4),s(s(X3)))
| ~ less(s(X2),s(s(X3)))
| ~ sum(X1,n0,X4)
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X3)
| ~ sum(X1,X1,s(s(X3)))
| attack(s(X4),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(X4),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))
| queens(X1,cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,plain,
( ~ less(X2,s(X3))
| ~ less(X3,s(X3))
| ~ less(s(X4),s(s(X3)))
| ~ sum(X1,n0,X4)
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X3)
| ~ sum(X1,X1,s(s(X3)))
| attack(s(X4),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(X4),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))
| queens(X1,cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_60,plain,
( ~ less(X4,s(X3))
| ~ less(X2,s(X3))
| ~ less(X3,s(X3))
| ~ sum(X1,n0,X4)
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X3)
| ~ sum(X1,X1,s(s(X3)))
| attack(s(X4),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(X4),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))
| queens(X1,cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_59,c_0_57]) ).
cnf(c_0_61,plain,
( ~ less(X4,s(X3))
| ~ less(X2,s(X3))
| ~ less(X3,s(X3))
| ~ sum(s(X1),n0,X4)
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X3)
| ~ sum(s(X1),X1,s(X3))
| attack(s(X4),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(X4),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))
| queens(s(X1),cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_60,c_0_32]) ).
cnf(c_0_62,plain,
( ~ less(X4,s(X3))
| ~ less(X2,s(X3))
| ~ less(X3,s(X3))
| ~ sum(s(X4),n0,X2)
| ~ sum(s(X2),n0,X3)
| ~ sum(s(s(X1)),X1,X3)
| ~ sum(s(s(X1)),n0,X4)
| attack(s(X4),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(X4),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))
| queens(s(s(X1)),cons(s(X2),cons(s(s(X3)),cons(s(X4),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_63,plain,
( ~ less(X2,s(X3))
| ~ less(X3,s(X3))
| ~ less(s(s(X1)),s(X3))
| ~ sum(s(X2),n0,X3)
| ~ sum(s(s(X1)),X1,X3)
| ~ sum(s(s(s(X1))),n0,X2)
| attack(s(s(s(X1))),cons(s(X3),empty_list))
| attack(s(s(X3)),cons(s(s(s(X1))),cons(s(X3),empty_list)))
| attack(s(X2),cons(s(s(X3)),cons(s(s(s(X1))),cons(s(X3),empty_list))))
| queens(s(s(X1)),cons(s(X2),cons(s(s(X3)),cons(s(s(s(X1))),cons(s(X3),empty_list))))) ),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_64,plain,
( ~ less(X2,s(X2))
| ~ less(s(s(X1)),s(X2))
| ~ less(s(s(s(X1))),s(X2))
| ~ sum(s(s(X1)),X1,X2)
| ~ sum(s(s(s(s(X1)))),n0,X2)
| attack(s(s(s(X1))),cons(s(X2),empty_list))
| attack(s(s(X2)),cons(s(s(s(X1))),cons(s(X2),empty_list)))
| attack(s(s(s(s(X1)))),cons(s(s(X2)),cons(s(s(s(X1))),cons(s(X2),empty_list))))
| queens(s(s(X1)),cons(s(s(s(s(X1)))),cons(s(s(X2)),cons(s(s(s(X1))),cons(s(X2),empty_list))))) ),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_65,plain,
( ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ less(s(s(s(X1))),s(s(s(s(s(X1))))))
| ~ less(s(s(s(s(X1)))),s(s(s(s(s(X1))))))
| ~ sum(s(s(X1)),X1,s(s(s(s(X1)))))
| attack(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list)))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))
| queens(s(s(X1)),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_64,c_0_54]) ).
cnf(c_0_66,plain,
( ~ less(s(s(s(X1))),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ less(s(s(s(X1))),s(s(s(s(s(X1))))))
| ~ sum(s(s(X1)),X1,s(s(s(s(X1)))))
| attack(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list)))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))
| queens(s(s(X1)),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_67,plain,
( ~ less(s(s(X1)),s(s(s(s(X1)))))
| ~ less(s(s(s(X1))),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ sum(s(s(X1)),X1,s(s(s(s(X1)))))
| attack(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list)))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))
| queens(s(s(X1)),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_66,c_0_57]) ).
cnf(c_0_68,plain,
( ~ less(s(X1),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(X1)))))
| ~ less(s(s(s(X1))),s(s(s(s(X1)))))
| ~ sum(s(s(X1)),X1,s(s(s(s(X1)))))
| attack(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list)))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))
| queens(s(s(X1)),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
cnf(c_0_69,plain,
( ~ less(s(s(X1)),s(s(s(X1))))
| ~ less(s(X1),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(X1)))))
| ~ sum(s(s(X1)),X1,s(s(s(s(X1)))))
| attack(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list)))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))
| queens(s(s(X1)),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(X1))),cons(s(s(s(s(s(X1))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_68,c_0_57]) ).
cnf(c_0_70,plain,
( ~ less(s(s(s(X1))),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ less(s(s(s(X1))),s(s(s(s(s(X1))))))
| ~ sum(s(s(s(X1))),X1,s(s(s(s(X1)))))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list))
| attack(s(s(s(s(s(s(s(X1))))))),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list)))
| attack(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list))))
| queens(s(s(s(X1))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_69,c_0_32]) ).
cnf(c_0_71,plain,
( ~ less(s(s(X1)),s(s(s(s(X1)))))
| ~ less(s(s(s(X1))),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ sum(s(s(s(X1))),X1,s(s(s(s(X1)))))
| attack(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list))
| attack(s(s(s(s(s(s(s(X1))))))),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list)))
| attack(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list))))
| queens(s(s(s(X1))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),cons(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_70,c_0_57]) ).
cnf(c_0_72,plain,
( ~ less(s(s(s(X1))),s(s(s(s(s(X1))))))
| ~ less(s(s(s(s(X1)))),s(s(s(s(s(X1))))))
| ~ less(s(s(s(X1))),s(s(s(s(s(s(X1)))))))
| ~ sum(s(s(s(s(X1)))),X1,s(s(s(s(X1)))))
| attack(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))
| attack(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list)))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))))
| queens(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_71,c_0_32]) ).
cnf(c_0_73,plain,
( ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ less(s(s(s(X1))),s(s(s(s(s(X1))))))
| ~ less(s(s(s(s(X1)))),s(s(s(s(s(X1))))))
| ~ sum(s(s(s(s(X1)))),X1,s(s(s(s(X1)))))
| attack(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))
| attack(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list)))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))))
| queens(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_72,c_0_57]) ).
cnf(c_0_74,negated_conjecture,
~ queens(s(s(s(s(n0)))),X1),
inference(fof_simplification,[status(thm)],[place_queens]) ).
cnf(c_0_75,plain,
( ~ less(s(s(s(X1))),s(s(s(s(X1)))))
| ~ less(s(s(X1)),s(s(s(s(s(X1))))))
| ~ less(s(s(s(X1))),s(s(s(s(s(X1))))))
| ~ sum(s(s(s(s(X1)))),X1,s(s(s(s(X1)))))
| attack(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))
| attack(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list)))
| attack(s(s(s(s(s(s(X1)))))),cons(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))))
| queens(s(s(s(s(X1)))),cons(s(s(s(s(s(s(X1)))))),cons(s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(X1))))),cons(s(s(s(s(s(s(s(X1))))))),empty_list))))) ),
inference(spm,[status(thm)],[c_0_73,c_0_57]) ).
cnf(c_0_76,negated_conjecture,
~ queens(s(s(s(s(n0)))),X1),
c_0_74 ).
cnf(c_0_77,plain,
( ~ less(s(s(s(n0))),s(s(s(s(n0)))))
| ~ less(s(s(n0)),s(s(s(s(s(n0))))))
| ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_54]),c_0_76]) ).
cnf(c_0_78,plain,
( ~ less(s(n0),s(s(s(s(n0)))))
| ~ less(s(s(s(n0))),s(s(s(s(n0)))))
| ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(spm,[status(thm)],[c_0_77,c_0_57]) ).
cnf(c_0_79,axiom,
less(n0,s(X1)),
less1 ).
cnf(c_0_80,plain,
( ~ sum(X2,s(n0),X7)
| ~ sum(X3,X2,X6)
| ~ sum(X5,X2,X3)
| ~ diagonal_attack(X1,X2,cons(X3,X4))
| diagonal_attack(X1,X7,X4)
| same(X6,X1)
| same(X5,X1) ),
inference(fof_simplification,[status(thm)],[check_diagonals1]) ).
cnf(c_0_81,plain,
( ~ less(s(s(s(n0))),s(s(s(s(n0)))))
| ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_57]),c_0_79])]) ).
cnf(c_0_82,plain,
( ~ sum(X2,s(n0),X7)
| ~ sum(X3,X2,X6)
| ~ sum(X5,X2,X3)
| ~ diagonal_attack(X1,X2,cons(X3,X4))
| diagonal_attack(X1,X7,X4)
| same(X6,X1)
| same(X5,X1) ),
c_0_80 ).
cnf(c_0_83,plain,
( ~ less(s(s(n0)),s(s(s(n0))))
| ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(spm,[status(thm)],[c_0_81,c_0_57]) ).
cnf(c_0_84,plain,
( ~ sum(X6,s(n0),X5)
| ~ sum(X4,s(n0),X6)
| ~ sum(s(n0),s(n0),X2)
| ~ attack(X1,cons(X6,X3))
| same(X5,X1)
| same(X4,X1)
| diagonal_attack(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_49]) ).
cnf(c_0_85,plain,
( ~ less(s(n0),s(s(n0)))
| ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_57]) ).
cnf(c_0_86,plain,
( ~ sum(X6,s(n0),X4)
| ~ sum(X5,s(n0),X6)
| ~ sum(s(n0),n0,X2)
| ~ attack(X1,cons(X6,X3))
| same(X5,X1)
| same(X4,X1)
| diagonal_attack(X1,s(X2),X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_32]) ).
cnf(c_0_87,plain,
( ~ less(s(s(s(n0))),s(s(s(s(s(n0))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_57]),c_0_79])]) ).
cnf(c_0_88,plain,
( ~ sum(X5,s(n0),X4)
| ~ sum(X3,s(n0),X5)
| ~ attack(X1,cons(X5,X2))
| same(X4,X1)
| same(X3,X1)
| diagonal_attack(X1,s(s(n0)),X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_54]) ).
cnf(c_0_89,plain,
( ~ less(s(s(n0)),s(s(s(s(n0)))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(spm,[status(thm)],[c_0_87,c_0_57]) ).
cnf(c_0_90,plain,
( ~ sum(X4,n0,X5)
| ~ sum(s(X5),s(n0),X3)
| ~ attack(X1,cons(s(X5),X2))
| same(X4,X1)
| same(X3,X1)
| diagonal_attack(X1,s(s(n0)),X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_32]) ).
cnf(c_0_91,plain,
( ~ less(s(n0),s(s(s(n0))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(spm,[status(thm)],[c_0_89,c_0_57]) ).
cnf(c_0_92,plain,
( ~ sum(X4,n0,X5)
| ~ sum(s(X5),n0,X3)
| ~ attack(X1,cons(s(X5),X2))
| same(X4,X1)
| same(s(X3),X1)
| diagonal_attack(X1,s(s(n0)),X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_32]) ).
cnf(c_0_93,plain,
( attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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(s(n0)))))),cons(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)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_57]),c_0_79])]) ).
cnf(c_0_94,plain,
( ~ sum(X2,n0,s(s(s(s(s(s(s(n0))))))))
| ~ sum(s(s(s(s(s(s(s(s(n0)))))))),n0,X1)
| same(X2,s(s(s(s(s(s(n0)))))))
| same(s(X1),s(s(s(s(s(s(n0)))))))
| 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)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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))) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_95,plain,
( ~ sum(X1,n0,s(s(s(s(s(s(s(n0))))))))
| same(X1,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)))))))
| 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)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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))) ),
inference(spm,[status(thm)],[c_0_94,c_0_54]) ).
cnf(c_0_96,plain,
( same(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)))))))
| 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)))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))
| 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))) ),
inference(spm,[status(thm)],[c_0_95,c_0_54]) ).
cnf(c_0_97,plain,
( ~ sum(X2,n0,s(s(s(s(n0)))))
| ~ sum(s(s(s(s(s(n0))))),n0,X1)
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| same(s(X1),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(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| 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(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)) ),
inference(spm,[status(thm)],[c_0_92,c_0_96]) ).
cnf(c_0_98,plain,
( ~ sum(X1,n0,s(s(s(s(n0)))))
| same(X1,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(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)))))))
| 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(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)) ),
inference(spm,[status(thm)],[c_0_97,c_0_54]) ).
cnf(c_0_99,plain,
( 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(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(s(n0)))))))
| 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(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)) ),
inference(spm,[status(thm)],[c_0_98,c_0_54]) ).
cnf(c_0_100,plain,
( ~ sum(s(s(n0)),s(n0),X1)
| ~ sum(s(s(s(s(s(n0))))),s(s(n0)),X3)
| ~ sum(X2,s(s(n0)),s(s(s(s(s(n0))))))
| same(X3,s(s(s(s(s(s(n0)))))))
| same(X2,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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),X1,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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_82,c_0_99]) ).
cnf(c_0_101,plain,
( ~ sum(s(s(n0)),s(n0),X1)
| ~ sum(X3,s(n0),s(s(s(s(n0)))))
| ~ sum(s(s(s(s(s(n0))))),s(s(n0)),X2)
| same(X3,s(s(s(s(s(s(n0)))))))
| same(X2,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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),X1,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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_100,c_0_32]) ).
cnf(c_0_102,plain,
( ~ sum(s(s(n0)),s(n0),X1)
| ~ sum(X3,s(n0),s(s(s(s(n0)))))
| ~ sum(s(s(s(s(s(n0))))),s(n0),X2)
| same(X3,s(s(s(s(s(s(n0)))))))
| same(s(X2),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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),X1,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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_101,c_0_32]) ).
cnf(c_0_103,plain,
( ~ sum(s(s(n0)),s(n0),X1)
| ~ sum(s(s(s(s(s(n0))))),n0,X2)
| ~ sum(X3,s(n0),s(s(s(s(n0)))))
| same(X3,s(s(s(s(s(s(n0)))))))
| same(s(s(X2)),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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),X1,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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_102,c_0_32]) ).
cnf(c_0_104,plain,
( ~ sum(X3,n0,s(s(s(n0))))
| ~ sum(s(s(n0)),s(n0),X1)
| ~ sum(s(s(s(s(s(n0))))),n0,X2)
| same(X3,s(s(s(s(s(s(n0)))))))
| same(s(s(X2)),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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),X1,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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_103,c_0_32]) ).
cnf(c_0_105,plain,
( ~ sum(X2,n0,s(s(s(n0))))
| ~ sum(s(s(n0)),s(n0),X1)
| same(X2,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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),X1,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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_104,c_0_54]) ).
cnf(c_0_106,plain,
( ~ sum(s(s(n0)),n0,X1)
| ~ sum(X2,n0,s(s(s(n0))))
| same(X2,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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_105,c_0_32]) ).
cnf(c_0_107,plain,
( ~ sum(s(s(n0)),n0,X1)
| same(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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),s(X1),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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_106,c_0_54]) ).
cnf(c_0_108,plain,
( same(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(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(s(n0))))))))),s(s(s(s(s(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_107,c_0_54]) ).
cnf(c_0_109,plain,
( ~ sum(s(s(n0)),s(n0),X3)
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X2)
| ~ sum(X1,s(s(n0)),s(s(s(s(s(s(s(n0))))))))
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| same(X1,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(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(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)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_108]),c_0_48]) ).
cnf(c_0_110,plain,
( ~ sum(s(s(n0)),s(n0),X3)
| ~ sum(X2,s(n0),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| same(X1,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(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(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)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_109,c_0_32]) ).
cnf(c_0_111,plain,
( ~ sum(s(s(n0)),s(n0),X3)
| ~ sum(X2,s(n0),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| same(X2,s(s(s(s(s(s(s(s(n0)))))))))
| same(s(X1),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(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(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)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_110,c_0_32]) ).
cnf(c_0_112,plain,
( ~ sum(s(s(n0)),s(n0),X3)
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| ~ sum(X2,s(n0),s(s(s(s(s(s(n0)))))))
| same(X2,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(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(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(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_111,c_0_32]) ).
cnf(c_0_113,plain,
( ~ sum(s(s(n0)),s(n0),X3)
| ~ sum(X2,n0,s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| same(X2,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(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(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(s(n0)))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_112,c_0_32]) ).
cnf(c_0_114,plain,
( ~ sum(s(s(n0)),s(n0),X2)
| ~ sum(X1,n0,s(s(s(s(s(n0))))))
| same(X1,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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_113,c_0_54]) ).
cnf(c_0_115,plain,
( ~ sum(s(s(n0)),s(n0),X1)
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_114,c_0_54]) ).
cnf(c_0_116,plain,
( ~ sum(s(s(n0)),n0,X1)
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_115,c_0_32]) ).
cnf(c_0_117,plain,
( same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| diagonal_attack(s(s(s(s(s(s(n0)))))),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)) ),
inference(spm,[status(thm)],[c_0_116,c_0_54]) ).
cnf(c_0_118,plain,
( ~ sum(s(s(s(n0))),s(n0),X3)
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X2)
| ~ sum(X1,s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_117]),c_0_48]) ).
cnf(c_0_119,plain,
( ~ sum(s(s(s(n0))),s(n0),X3)
| ~ sum(X2,s(s(n0)),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X1)
| same(X2,s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_118,c_0_32]) ).
cnf(c_0_120,plain,
( ~ sum(s(s(s(n0))),s(n0),X3)
| ~ sum(X2,s(s(n0)),s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)
| same(X2,s(s(s(s(s(s(n0)))))))
| same(s(X1),s(s(s(s(s(s(n0)))))))
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_119,c_0_32]) ).
cnf(c_0_121,plain,
( ~ sum(s(s(s(n0))),s(n0),X3)
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| ~ sum(X2,s(s(n0)),s(s(s(s(s(s(n0)))))))
| same(X2,s(s(s(s(s(s(n0)))))))
| same(s(s(X1)),s(s(s(s(s(s(n0)))))))
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_120,c_0_32]) ).
cnf(c_0_122,plain,
( ~ sum(s(s(s(n0))),s(n0),X3)
| ~ sum(X2,s(n0),s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)
| same(X2,s(s(s(s(s(s(n0)))))))
| same(s(s(X1)),s(s(s(s(s(s(n0)))))))
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_121,c_0_32]) ).
cnf(c_0_123,plain,
( ~ sum(s(s(s(n0))),s(n0),X3)
| ~ sum(X2,s(n0),s(s(s(s(s(n0))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| same(X2,s(s(s(s(s(s(n0)))))))
| same(s(s(s(X1))),s(s(s(s(s(s(n0)))))))
| same(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(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(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(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_122,c_0_32]) ).
cnf(c_0_124,plain,
( ~ sum(s(s(s(n0))),s(n0),X2)
| ~ sum(X1,s(n0),s(s(s(s(s(n0))))))
| same(X1,s(s(s(s(s(s(n0)))))))
| same(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(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(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(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(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_123,c_0_54]) ).
cnf(c_0_125,plain,
( ~ sum(X1,n0,s(s(s(s(n0)))))
| ~ sum(s(s(s(n0))),s(n0),X2)
| same(X1,s(s(s(s(s(s(n0)))))))
| same(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(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(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(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(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_124,c_0_32]) ).
cnf(c_0_126,plain,
( ~ sum(s(s(s(n0))),n0,X2)
| ~ sum(X1,n0,s(s(s(s(n0)))))
| same(X1,s(s(s(s(s(s(n0)))))))
| same(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(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(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(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(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_125,c_0_32]) ).
cnf(c_0_127,plain,
( ~ sum(s(s(s(n0))),n0,X1)
| same(s(s(s(n0))),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(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(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(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(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_126,c_0_54]) ).
cnf(c_0_128,plain,
( same(s(s(s(n0))),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(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(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(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(s(s(n0)))))))))
| attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)) ),
inference(spm,[status(thm)],[c_0_127,c_0_54]) ).
cnf(c_0_129,plain,
( ~ same(s(X1),s(X2))
| same(X1,X2) ),
inference(fof_simplification,[status(thm)],[same_definition3]) ).
cnf(c_0_130,plain,
( ~ sum(X2,n0,s(s(s(s(s(s(n0)))))))
| ~ sum(s(s(s(s(s(s(s(n0))))))),n0,X1)
| same(X2,s(s(s(s(s(n0))))))
| same(s(X1),s(s(s(s(s(n0))))))
| same(s(s(s(n0))),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(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(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(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(s(s(n0))))))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_128]),c_0_48]) ).
cnf(c_0_131,plain,
( ~ same(s(X1),s(X2))
| same(X1,X2) ),
c_0_129 ).
cnf(c_0_132,plain,
( ~ sum(X1,n0,s(s(s(s(s(s(n0)))))))
| same(X1,s(s(s(s(s(n0))))))
| same(s(s(s(n0))),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(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(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(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(s(s(n0))))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_54]),c_0_131]) ).
cnf(c_0_133,plain,
( same(s(s(s(n0))),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(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(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(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(s(s(n0))))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_54]),c_0_131]) ).
cnf(c_0_134,plain,
( same(s(s(s(n0))),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(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(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(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(s(s(n0))))))))
| same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_131,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(n0)))),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(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(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(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_134]) ).
cnf(c_0_136,plain,
( same(s(s(s(n0))),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(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(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(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)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_135]),c_0_131]) ).
cnf(c_0_137,plain,
( same(s(s(s(n0))),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(n0)))))),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(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(n0)))))),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_136]) ).
cnf(c_0_138,plain,
( same(s(s(s(n0))),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(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(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)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_137]),c_0_131]) ).
cnf(c_0_139,plain,
( same(s(s(s(n0))),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(s(n0)))))
| same(s(s(s(s(s(s(n0)))))),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(n0))))),s(s(s(s(s(s(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_138]) ).
cnf(c_0_140,plain,
( same(s(s(s(n0))),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(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(s(s(n0)))))))))
| same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_139]),c_0_131]) ).
cnf(c_0_141,plain,
( same(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(s(n0)))),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(s(s(n0))))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_140]) ).
cnf(c_0_142,plain,
( same(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(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(s(s(s(n0)))))),s(s(s(s(s(n0))))))
| same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_141]) ).
cnf(c_0_143,plain,
( 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(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(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_142]) ).
cnf(c_0_144,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(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)))) ),
inference(spm,[status(thm)],[c_0_131,c_0_143]) ).
cnf(c_0_145,plain,
( same(s(s(s(s(s(s(n0)))))),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(n0)))),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_144]) ).
cnf(c_0_146,plain,
( 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(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(s(s(n0)))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_145]) ).
cnf(c_0_147,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(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_131,c_0_146]) ).
cnf(c_0_148,plain,
( same(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(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(s(s(n0)))))
| same(s(s(s(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_147]) ).
cnf(c_0_149,plain,
( 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(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(n0))),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_148]) ).
cnf(c_0_150,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(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_131,c_0_149]) ).
cnf(c_0_151,plain,
( same(s(s(s(s(s(n0))))),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(n0)),s(s(s(s(s(s(n0)))))))
| same(s(s(s(n0))),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_150]) ).
cnf(c_0_152,plain,
( same(s(s(n0)),s(s(s(s(n0)))))
| same(s(s(s(s(s(n0))))),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(n0)),s(s(s(s(s(s(n0))))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_151]) ).
cnf(c_0_153,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(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_131,c_0_152]) ).
cnf(c_0_154,plain,
( same(s(s(s(s(n0)))),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(n0)),s(s(s(s(s(n0))))))
| same(s(s(s(s(n0)))),s(s(s(n0)))) ),
inference(spm,[status(thm)],[c_0_131,c_0_153]) ).
cnf(c_0_155,plain,
( same(s(s(s(n0))),s(s(n0)))
| same(s(s(s(s(n0)))),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(n0)),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_154]) ).
cnf(c_0_156,plain,
~ same(s(X1),n0),
inference(fof_simplification,[status(thm)],[same_definition1]) ).
cnf(c_0_157,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(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_131,c_0_155]) ).
cnf(c_0_158,plain,
~ same(s(X1),n0),
c_0_156 ).
cnf(c_0_159,plain,
( 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(s(s(n0))))))
| same(s(s(n0)),s(s(s(s(n0))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_157]),c_0_158]) ).
cnf(c_0_160,plain,
~ same(n0,s(X1)),
inference(fof_simplification,[status(thm)],[same_definition2]) ).
cnf(c_0_161,plain,
( same(s(n0),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)))
| same(s(n0),s(s(s(s(s(n0)))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_159]) ).
cnf(c_0_162,plain,
~ same(n0,s(X1)),
c_0_160 ).
cnf(c_0_163,plain,
( same(s(n0),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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_161]),c_0_162]) ).
cnf(c_0_164,plain,
( same(s(n0),s(s(s(n0))))
| same(s(n0),s(s(s(s(n0)))))
| same(s(s(s(n0))),s(s(n0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_163]),c_0_158]) ).
cnf(c_0_165,plain,
( same(s(s(n0)),s(n0))
| same(s(n0),s(s(s(n0))))
| same(s(n0),s(s(s(s(n0))))) ),
inference(spm,[status(thm)],[c_0_131,c_0_164]) ).
cnf(c_0_166,plain,
( same(s(s(n0)),s(n0))
| same(s(n0),s(s(s(n0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_165]),c_0_162]) ).
cnf(c_0_167,plain,
same(s(s(n0)),s(n0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_166]),c_0_162]) ).
cnf(c_0_168,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_167]),c_0_158]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ034-1.004 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:46:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.63/3.02 % Version: 3.5.1
% 19.63/3.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.63/3.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.63/3.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.63/3.02 % Starting new_bool_3 with 300s (1) cores
% 19.63/3.02 % Starting new_bool_1 with 300s (1) cores
% 19.63/3.02 % Starting sh5l with 300s (1) cores
% 19.63/3.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4155157 completed with status 0
% 19.63/3.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 19.63/3.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.63/3.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.63/3.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.63/3.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.63/3.02 % No SInE strategy applied
% 19.63/3.02 % Search class: FGUNM-FFSF21-MFFFFFNN
% 19.63/3.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.63/3.02 % Starting SubtermCWHack with 136s (1) cores
% 19.63/3.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.63/3.02 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 19.63/3.02 % Starting new_bool_3 with 136s (1) cores
% 19.63/3.02 % Starting new_bool_1 with 136s (1) cores
% 19.63/3.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4155162 completed with status 0
% 19.63/3.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 19.63/3.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.63/3.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.63/3.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.63/3.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.63/3.02 % No SInE strategy applied
% 19.63/3.02 % Search class: FGUNM-FFSF21-MFFFFFNN
% 19.63/3.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.63/3.02 % Starting SubtermCWHack with 136s (1) cores
% 19.63/3.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.63/3.02 % Preprocessing time : 0.001 s
% 19.63/3.02 % Presaturation interreduction done
% 19.63/3.02
% 19.63/3.02 % Proof found!
% 19.63/3.02 % SZS status Unsatisfiable
% 19.63/3.02 % SZS output start CNFRefutation
% See solution above
% 19.63/3.02 % Parsed axioms : 18
% 19.63/3.02 % Removed by relevancy pruning/SinE : 0
% 19.63/3.02 % Initial clauses : 18
% 19.63/3.02 % Removed in clause preprocessing : 0
% 19.63/3.02 % Initial clauses in saturation : 18
% 19.63/3.02 % Processed clauses : 3367
% 19.63/3.02 % ...of these trivial : 0
% 19.63/3.02 % ...subsumed : 7
% 19.63/3.02 % ...remaining for further processing : 3360
% 19.63/3.02 % Other redundant clauses eliminated : 0
% 19.63/3.02 % Clauses deleted for lack of memory : 0
% 19.63/3.02 % Backward-subsumed : 213
% 19.63/3.02 % Backward-rewritten : 4
% 19.63/3.02 % Generated clauses : 4581
% 19.63/3.02 % ...of the previous two non-redundant : 4579
% 19.63/3.02 % ...aggressively subsumed : 0
% 19.63/3.02 % Contextual simplify-reflections : 37
% 19.63/3.02 % Paramodulations : 4581
% 19.63/3.02 % Factorizations : 0
% 19.63/3.02 % NegExts : 0
% 19.63/3.02 % Equation resolutions : 0
% 19.63/3.02 % Disequality decompositions : 0
% 19.63/3.02 % Total rewrite steps : 81
% 19.63/3.02 % ...of those cached : 76
% 19.63/3.02 % Propositional unsat checks : 0
% 19.63/3.02 % Propositional check models : 0
% 19.63/3.02 % Propositional check unsatisfiable : 0
% 19.63/3.02 % Propositional clauses : 0
% 19.63/3.02 % Propositional clauses after purity: 0
% 19.63/3.02 % Propositional unsat core size : 0
% 19.63/3.02 % Propositional preprocessing time : 0.000
% 19.63/3.02 % Propositional encoding time : 0.000
% 19.63/3.02 % Propositional solver time : 0.000
% 19.63/3.02 % Success case prop preproc time : 0.000
% 19.63/3.02 % Success case prop encoding time : 0.000
% 19.63/3.02 % Success case prop solver time : 0.000
% 19.63/3.02 % Current number of processed clauses : 3125
% 19.63/3.02 % Positive orientable unit clauses : 9
% 19.63/3.02 % Positive unorientable unit clauses: 0
% 19.63/3.02 % Negative unit clauses : 5
% 19.63/3.02 % Non-unit-clauses : 3111
% 19.63/3.02 % Current number of unprocessed clauses: 1248
% 19.63/3.02 % ...number of literals in the above : 14465
% 19.63/3.02 % Current number of archived formulas : 0
% 19.63/3.02 % Current number of archived clauses : 235
% 19.63/3.02 % Clause-clause subsumption calls (NU) : 3633756
% 19.63/3.02 % Rec. Clause-clause subsumption calls : 71569
% 19.63/3.02 % Non-unit clause-clause subsumptions : 257
% 19.63/3.02 % Unit Clause-clause subsumption calls : 536
% 19.63/3.02 % Rewrite failures with RHS unbound : 0
% 19.63/3.02 % BW rewrite match attempts : 5
% 19.63/3.02 % BW rewrite match successes : 2
% 19.63/3.02 % Condensation attempts : 0
% 19.63/3.02 % Condensation successes : 0
% 19.63/3.02 % Termbank termtop insertions : 848736
% 19.63/3.02 % Search garbage collected termcells : 60
% 19.63/3.02
% 19.63/3.02 % -------------------------------------------------
% 19.63/3.02 % User time : 2.549 s
% 19.63/3.02 % System time : 0.027 s
% 19.63/3.02 % Total time : 2.576 s
% 19.63/3.02 % Maximum resident set size: 3644 pages
% 19.63/3.02
% 19.63/3.02 % -------------------------------------------------
% 19.63/3.02 % User time : 12.398 s
% 19.63/3.02 % System time : 0.177 s
% 19.63/3.02 % Total time : 12.576 s
% 19.63/3.02 % Maximum resident set size: 4608 pages
% 19.63/3.02 % E exiting
%------------------------------------------------------------------------------