↑ Up

E---3.5.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---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/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 02:01:38 PM UTC 2026

% Result   : Unsatisfiable 19.79s 3.00s
% Output   : CNFRefutation 19.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   75
%            Number of leaves      :   18
% Syntax   : Number of clauses     :  136 (  40 unt;  70 nHn; 106 RR)
%            Number of literals    :  621 (   0 equ; 117 neg)
%            Maximal clause size   :   14 (   4 avg)
%            Maximal term depth    :   13 (   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   :  220 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(less2,axiom,
    ( ~ less(X1,X2)
    | less(s(X1),s(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(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/sandbox2/benchmark/theBenchmark.p',make_list_of_numbers1) ).

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(add,axiom,
    ( ~ sum(X1,X2,X3)
    | sum(X1,s(X2),s(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add) ).

cnf(add_0,axiom,
    sum(X1,n0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_0) ).

cnf(select2,axiom,
    ( ~ select(X1,X3,X4)
    | select(X1,cons(X2,X3),cons(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select2) ).

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/sandbox2/benchmark/theBenchmark.p',place_a_queen1) ).

cnf(select1,axiom,
    select(X1,cons(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select1) ).

cnf(place_a_queen2,axiom,
    do_queens(empty_list,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',place_a_queen2) ).

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/sandbox2/benchmark/theBenchmark.p',set_up_queens) ).

cnf(place_queens,negated_conjecture,
    ~ queens(s(s(s(s(n0)))),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',place_queens) ).

cnf(attack,axiom,
    ( ~ attack(X1,X2)
    | diagonal_attack(X1,s(n0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',attack) ).

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/sandbox2/benchmark/theBenchmark.p',check_diagonals1) ).

cnf(check_diagonals2,axiom,
    ~ diagonal_attack(X1,X2,empty_list),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',check_diagonals2) ).

cnf(same_definition3,axiom,
    ( ~ same(s(X1),s(X2))
    | same(X1,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,plain,
    ( ~ less(X1,X2)
    | less(s(X1),s(X2)) ),
    inference(fof_simplification,[status(thm)],[less2]) ).

cnf(c_0_19,plain,
    ( ~ less(X1,X2)
    | less(s(X1),s(X2)) ),
    c_0_18 ).

cnf(c_0_20,axiom,
    less(n0,s(X1)),
    less1 ).

cnf(c_0_21,plain,
    less(s(n0),s(s(X1))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,plain,
    less(s(s(n0)),s(s(s(X1)))),
    inference(spm,[status(thm)],[c_0_19,c_0_21]) ).

cnf(c_0_23,plain,
    less(s(s(s(n0))),s(s(s(s(X1))))),
    inference(spm,[status(thm)],[c_0_19,c_0_22]) ).

cnf(c_0_24,plain,
    less(s(s(s(s(n0)))),s(s(s(s(s(X1)))))),
    inference(spm,[status(thm)],[c_0_19,c_0_23]) ).

cnf(c_0_25,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_26,plain,
    less(s(s(s(s(s(n0))))),s(s(s(s(s(s(X1))))))),
    inference(spm,[status(thm)],[c_0_19,c_0_24]) ).

cnf(c_0_27,plain,
    ( ~ range(X4,X2,X3)
    | ~ sum(X1,s(n0),X4)
    | ~ less(X1,X2)
    | range(X1,X2,cons(X1,X3)) ),
    c_0_25 ).

cnf(c_0_28,axiom,
    range(X1,X1,cons(X1,empty_list)),
    make_list_of_numbers2 ).

cnf(c_0_29,plain,
    less(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(X1)))))))),
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_30,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,s(X2),s(X3)) ),
    inference(fof_simplification,[status(thm)],[add]) ).

cnf(c_0_31,plain,
    ( ~ less(X1,X2)
    | ~ sum(X1,s(n0),X2)
    | range(X1,X2,cons(X1,cons(X2,empty_list))) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    less(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(s(X1))))))))),
    inference(spm,[status(thm)],[c_0_19,c_0_29]) ).

cnf(c_0_33,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,s(X2),s(X3)) ),
    c_0_30 ).

cnf(c_0_34,axiom,
    sum(X1,n0,X1),
    add_0 ).

cnf(c_0_35,plain,
    ( ~ sum(s(s(s(s(s(s(s(n0))))))),s(n0),s(s(s(s(s(s(s(s(X1)))))))))
    | range(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(s(X1)))))))),cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(X1)))))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,plain,
    sum(X1,s(n0),s(X1)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    ( ~ select(X1,X3,X4)
    | select(X1,cons(X2,X3),cons(X2,X4)) ),
    inference(fof_simplification,[status(thm)],[select2]) ).

cnf(c_0_38,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_39,plain,
    range(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list))),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ select(X1,X3,X4)
    | select(X1,cons(X2,X3),cons(X2,X4)) ),
    c_0_37 ).

cnf(c_0_41,axiom,
    select(X1,cons(X1,X2),X2),
    select1 ).

cnf(c_0_42,plain,
    ( ~ do_queens(X5,cons(X4,X2),X3)
    | ~ select(X4,X1,X5)
    | attack(X4,X2)
    | do_queens(X1,X2,X3) ),
    c_0_38 ).

cnf(c_0_43,plain,
    ( ~ less(X1,s(s(s(s(s(s(s(s(n0)))))))))
    | ~ sum(X1,s(n0),s(s(s(s(s(s(s(n0))))))))
    | range(X1,s(s(s(s(s(s(s(s(n0)))))))),cons(X1,cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)))) ),
    inference(spm,[status(thm)],[c_0_27,c_0_39]) ).

cnf(c_0_44,plain,
    select(X1,cons(X2,cons(X1,X3)),cons(X2,X3)),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    ( ~ do_queens(X2,cons(X1,X3),X4)
    | attack(X1,X3)
    | do_queens(cons(X1,X2),X3,X4) ),
    inference(spm,[status(thm)],[c_0_42,c_0_41]) ).

cnf(c_0_46,axiom,
    do_queens(empty_list,X1,X1),
    place_a_queen2 ).

cnf(c_0_47,plain,
    range(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_36])]) ).

cnf(c_0_48,plain,
    select(X1,cons(X2,cons(X3,cons(X1,X4))),cons(X2,cons(X3,X4))),
    inference(spm,[status(thm)],[c_0_40,c_0_44]) ).

cnf(c_0_49,plain,
    ( attack(X1,X2)
    | do_queens(cons(X1,empty_list),X2,cons(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,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_51,plain,
    ( ~ less(X1,s(s(s(s(s(s(s(s(n0)))))))))
    | ~ sum(X1,s(n0),s(s(s(s(s(s(n0)))))))
    | range(X1,s(s(s(s(s(s(s(s(n0)))))))),cons(X1,cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list))))) ),
    inference(spm,[status(thm)],[c_0_27,c_0_47]) ).

cnf(c_0_52,plain,
    ( ~ do_queens(cons(X1,cons(X2,X4)),cons(X3,X5),X6)
    | attack(X3,X5)
    | do_queens(cons(X1,cons(X2,cons(X3,X4))),X5,X6) ),
    inference(spm,[status(thm)],[c_0_42,c_0_48]) ).

cnf(c_0_53,plain,
    ( attack(X1,X3)
    | attack(X2,cons(X1,X3))
    | do_queens(cons(X1,cons(X2,empty_list)),X3,cons(X2,cons(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_45,c_0_49]) ).

cnf(c_0_54,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_50 ).

cnf(c_0_55,plain,
    range(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_26]),c_0_36])]) ).

cnf(c_0_56,plain,
    ( ~ do_queens(cons(X1,X3),cons(X2,X4),X5)
    | attack(X2,X4)
    | do_queens(cons(X1,cons(X2,X3)),X4,X5) ),
    inference(spm,[status(thm)],[c_0_42,c_0_44]) ).

cnf(c_0_57,plain,
    ( attack(X3,X4)
    | attack(X1,cons(X3,X4))
    | attack(X2,cons(X1,cons(X3,X4)))
    | do_queens(cons(X1,cons(X2,cons(X3,empty_list))),X4,cons(X2,cons(X1,cons(X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,plain,
    sum(X1,s(s(n0)),s(s(X1))),
    inference(spm,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_59,plain,
    ( ~ sum(X1,s(n0),s(s(s(s(s(n0))))))
    | ~ sum(X1,X1,s(s(s(s(s(s(s(s(n0)))))))))
    | ~ do_queens(cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)))),empty_list,X2)
    | queens(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    ( attack(X2,X5)
    | attack(X4,cons(X2,X5))
    | attack(X1,cons(X4,cons(X2,X5)))
    | attack(X3,cons(X1,cons(X4,cons(X2,X5))))
    | do_queens(cons(X1,cons(X2,cons(X3,cons(X4,empty_list)))),X5,cons(X3,cons(X1,cons(X4,cons(X2,X5))))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,plain,
    sum(X1,s(s(s(n0))),s(s(s(X1)))),
    inference(spm,[status(thm)],[c_0_33,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    ~ queens(s(s(s(s(n0)))),X1),
    inference(fof_simplification,[status(thm)],[place_queens]) ).

cnf(c_0_63,plain,
    ( ~ attack(X1,X2)
    | diagonal_attack(X1,s(n0),X2) ),
    inference(fof_simplification,[status(thm)],[attack]) ).

cnf(c_0_64,plain,
    ( ~ sum(X1,s(n0),s(s(s(s(s(n0))))))
    | ~ sum(X1,X1,s(s(s(s(s(s(s(s(n0)))))))))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))))
    | queens(X1,cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))))) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_65,plain,
    sum(X1,s(s(s(s(n0)))),s(s(s(s(X1))))),
    inference(spm,[status(thm)],[c_0_33,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ~ queens(s(s(s(s(n0)))),X1),
    c_0_62 ).

cnf(c_0_67,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_68,plain,
    ( ~ attack(X1,X2)
    | diagonal_attack(X1,s(n0),X2) ),
    c_0_63 ).

cnf(c_0_69,plain,
    ( attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_36]),c_0_65])]),c_0_66]) ).

cnf(c_0_70,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_67 ).

cnf(c_0_71,plain,
    ( diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(n0),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,plain,
    ( ~ sum(s(n0),s(n0),X1)
    | ~ sum(s(s(s(s(s(n0))))),s(n0),X3)
    | ~ sum(X2,s(n0),s(s(s(s(s(n0))))))
    | same(X3,s(s(s(s(s(s(s(n0))))))))
    | same(X2,s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),X1,cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,plain,
    ( ~ sum(s(s(s(s(s(n0))))),s(n0),X1)
    | ~ sum(X2,s(n0),s(s(s(s(s(n0))))))
    | same(X2,s(s(s(s(s(s(s(n0))))))))
    | same(X1,s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(n0)),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_36]) ).

cnf(c_0_74,plain,
    ( ~ sum(s(s(s(s(s(n0))))),s(n0),X1)
    | same(X1,s(s(s(s(s(s(s(n0))))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(n0)),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_73,c_0_36]) ).

cnf(c_0_75,plain,
    ( same(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(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(n0)),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_36]) ).

cnf(c_0_76,plain,
    ( ~ sum(s(s(n0)),s(n0),X1)
    | ~ sum(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),X3)
    | ~ sum(X2,s(s(n0)),s(s(s(s(s(s(s(s(n0)))))))))
    | same(X3,s(s(s(s(s(s(s(n0))))))))
    | same(X2,s(s(s(s(s(s(s(n0))))))))
    | same(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(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),X1,cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_75]) ).

cnf(c_0_77,plain,
    ( ~ sum(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),X1)
    | ~ sum(X2,s(s(n0)),s(s(s(s(s(s(s(s(n0)))))))))
    | same(X2,s(s(s(s(s(s(s(n0))))))))
    | same(X1,s(s(s(s(s(s(s(n0))))))))
    | same(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(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_36]) ).

cnf(c_0_78,plain,
    ( ~ sum(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0)),X1)
    | same(X1,s(s(s(s(s(s(s(n0))))))))
    | same(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(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_58]) ).

cnf(c_0_79,plain,
    ( same(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(n0))))))))
    | same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list))) ),
    inference(spm,[status(thm)],[c_0_78,c_0_58]) ).

cnf(c_0_80,plain,
    ( same(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(n0))))))))
    | same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | diagonal_attack(s(s(s(s(s(n0))))),s(n0),cons(s(s(s(s(s(s(s(s(n0)))))))),cons(s(s(s(s(s(s(n0)))))),empty_list)))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_79]) ).

cnf(c_0_81,plain,
    ( ~ sum(s(n0),s(n0),X1)
    | ~ sum(s(s(s(s(s(s(s(s(n0)))))))),s(n0),X3)
    | ~ sum(X2,s(n0),s(s(s(s(s(s(s(s(n0)))))))))
    | same(X3,s(s(s(s(s(n0))))))
    | same(X2,s(s(s(s(s(n0))))))
    | same(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(n0))))))))
    | same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),X1,cons(s(s(s(s(s(s(n0)))))),empty_list))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_80]) ).

cnf(c_0_82,plain,
    ( ~ sum(s(s(s(s(s(s(s(s(n0)))))))),s(n0),X1)
    | ~ sum(X2,s(n0),s(s(s(s(s(s(s(s(n0)))))))))
    | same(X2,s(s(s(s(s(n0))))))
    | same(X1,s(s(s(s(s(n0))))))
    | same(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(n0))))))))
    | same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_36]) ).

cnf(c_0_83,plain,
    ( ~ sum(s(s(s(s(s(s(s(s(n0)))))))),s(n0),X1)
    | same(X1,s(s(s(s(s(n0))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(n0))))))))
    | same(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_36]) ).

cnf(c_0_84,plain,
    ~ diagonal_attack(X1,X2,empty_list),
    inference(fof_simplification,[status(thm)],[check_diagonals2]) ).

cnf(c_0_85,plain,
    ( same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(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(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_36]) ).

cnf(c_0_86,plain,
    ~ diagonal_attack(X1,X2,empty_list),
    c_0_84 ).

cnf(c_0_87,plain,
    ( ~ sum(s(s(s(n0))),s(n0),X3)
    | ~ sum(s(s(s(s(s(s(n0)))))),s(s(s(n0))),X2)
    | ~ sum(X1,s(s(s(n0))),s(s(s(s(s(s(n0)))))))
    | same(X2,s(s(s(s(s(s(s(n0))))))))
    | same(X1,s(s(s(s(s(s(s(n0))))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(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(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_85]),c_0_86]) ).

cnf(c_0_88,plain,
    ( ~ sum(s(s(s(s(s(s(n0)))))),s(s(s(n0))),X1)
    | ~ sum(X2,s(s(s(n0))),s(s(s(s(s(s(n0)))))))
    | same(X2,s(s(s(s(s(s(s(n0))))))))
    | same(X1,s(s(s(s(s(s(s(n0))))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(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(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_36]) ).

cnf(c_0_89,plain,
    ( ~ sum(s(s(s(s(s(s(n0)))))),s(s(s(n0))),X1)
    | same(X1,s(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(s(n0))))))))
    | same(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(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(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_61]) ).

cnf(c_0_90,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(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(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(s(n0)))))),empty_list)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_61]) ).

cnf(c_0_91,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(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(n0),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_68,c_0_90]) ).

cnf(c_0_92,plain,
    ( ~ sum(s(n0),s(n0),X3)
    | ~ sum(s(s(s(s(s(s(n0)))))),s(n0),X2)
    | ~ sum(X1,s(n0),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(s(n0))))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_91]),c_0_86]) ).

cnf(c_0_93,plain,
    ( ~ same(s(X1),s(X2))
    | same(X1,X2) ),
    inference(fof_simplification,[status(thm)],[same_definition3]) ).

cnf(c_0_94,plain,
    ( ~ sum(s(s(s(s(s(s(n0)))))),s(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(X1,s(s(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(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_92,c_0_36]) ).

cnf(c_0_95,plain,
    ( ~ same(s(X1),s(X2))
    | same(X1,X2) ),
    c_0_93 ).

cnf(c_0_96,plain,
    ( ~ sum(s(s(s(s(s(s(n0)))))),s(n0),X1)
    | same(X1,s(s(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(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_36]),c_0_95]) ).

cnf(c_0_97,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(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | diagonal_attack(s(s(s(s(s(n0))))),s(s(n0)),cons(s(s(s(s(s(s(n0)))))),empty_list))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_36]),c_0_95]) ).

cnf(c_0_98,plain,
    ( ~ sum(s(s(n0)),s(n0),X3)
    | ~ sum(s(s(s(s(s(s(n0)))))),s(s(n0)),X2)
    | ~ sum(X1,s(s(n0)),s(s(s(s(s(s(n0)))))))
    | same(X2,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(s(n0))))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_97]),c_0_86]) ).

cnf(c_0_99,plain,
    ( ~ sum(s(s(s(s(s(s(n0)))))),s(s(n0)),X1)
    | ~ sum(X2,s(s(n0)),s(s(s(s(s(s(n0)))))))
    | same(X2,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(s(n0))))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_98,c_0_36]) ).

cnf(c_0_100,plain,
    ( ~ sum(s(s(s(s(s(s(n0)))))),s(s(n0)),X1)
    | same(X1,s(s(s(s(s(n0))))))
    | same(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(s(n0))))))))
    | same(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(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(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(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_99,c_0_58]) ).

cnf(c_0_101,plain,
    ( same(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(s(n0))))))))
    | same(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(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(s(s(n0))))))))),s(s(s(s(s(n0))))))
    | same(s(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(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_100,c_0_58]) ).

cnf(c_0_102,plain,
    ( same(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(s(n0))))))))
    | same(s(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(s(n0))))))
    | same(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(n0))))))))),s(s(s(s(s(n0))))))
    | same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_95]) ).

cnf(c_0_103,plain,
    ( same(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(s(n0))))))))
    | same(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(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(s(s(n0))))))))),s(s(s(s(s(n0))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_102]),c_0_95]) ).

cnf(c_0_104,plain,
    ( same(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(s(n0))))))))
    | same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0)))))
    | same(s(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(s(n0))))))
    | same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_103]) ).

cnf(c_0_105,plain,
    ( same(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(s(s(s(n0))))))),s(s(s(s(n0)))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(s(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(s(s(n0)))))),s(s(s(s(s(s(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_104]) ).

cnf(c_0_106,plain,
    ( same(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(s(n0))))))))
    | same(s(s(s(s(s(s(s(n0))))))),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(s(n0))))))),s(s(s(s(s(n0))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_105]),c_0_95]) ).

cnf(c_0_107,plain,
    ( same(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(n0))),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(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(n0))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_106]) ).

cnf(c_0_108,plain,
    ( same(s(s(s(s(n0)))),s(s(s(s(s(n0))))))
    | same(s(s(s(s(s(s(n0)))))),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(s(n0))))))),s(s(s(n0))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))
    | same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_107]) ).

cnf(c_0_109,plain,
    ( same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))
    | same(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(n0))),s(s(s(s(s(s(s(n0))))))))
    | same(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(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_108]) ).

cnf(c_0_110,plain,
    ( same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
    | same(s(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(s(s(s(n0)))))),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(s(n0))))))),s(s(s(n0))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_109]) ).

cnf(c_0_111,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(s(n0)))),s(s(s(s(s(n0))))))
    | 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(s(s(n0)))))),s(s(s(s(n0)))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_110]) ).

cnf(c_0_112,plain,
    ( same(s(s(s(s(s(n0))))),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(s(n0)))))))
    | same(s(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(s(n0))))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_111]) ).

cnf(c_0_113,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(s(s(n0))))),s(s(s(n0))))
    | same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(n0))))))
    | same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_112]) ).

cnf(c_0_114,plain,
    ( same(s(s(s(s(s(n0))))),s(s(n0)))
    | same(s(s(s(s(s(n0))))),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(n0))),s(s(s(s(s(s(n0)))))))
    | same(s(s(s(s(n0)))),s(s(s(s(s(n0))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_113]) ).

cnf(c_0_115,plain,
    ( same(s(s(s(n0))),s(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(s(s(n0))))),s(s(s(n0))))
    | same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_114]) ).

cnf(c_0_116,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(n0))),s(s(s(s(n0)))))
    | same(s(s(s(s(s(n0))))),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)))))))
    | attack(s(s(s(s(s(s(n0)))))),empty_list) ),
    inference(spm,[status(thm)],[c_0_95,c_0_115]) ).

cnf(c_0_117,plain,
    ( same(s(s(s(n0))),s(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(s(s(s(n0)))))),s(s(n0)))
    | same(s(s(s(s(s(n0))))),s(s(s(n0)))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_116]),c_0_86]) ).

cnf(c_0_118,plain,
    ( 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(n0))),s(s(s(s(n0)))))
    | same(s(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_95,c_0_117]) ).

cnf(c_0_119,plain,
    ( same(s(s(s(s(n0)))),s(s(n0)))
    | same(s(s(s(s(s(n0))))),s(n0))
    | same(s(s(s(n0))),s(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))))))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_118]) ).

cnf(c_0_120,plain,
    ( same(s(n0),s(s(s(s(s(n0))))))
    | same(s(s(s(s(s(n0))))),s(n0))
    | same(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(s(n0)))
    | same(s(s(s(n0))),s(s(s(s(n0))))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_119]) ).

cnf(c_0_121,plain,
    ( same(s(s(s(s(n0)))),s(n0))
    | same(s(s(s(s(n0)))),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(n0))),s(s(s(s(n0)))))
    | same(s(s(n0)),s(s(s(s(s(n0)))))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_120]) ).

cnf(c_0_122,plain,
    ( same(s(s(n0)),s(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(s(s(n0)))),s(s(n0)))
    | same(s(s(n0)),s(s(s(s(s(n0)))))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_121]) ).

cnf(c_0_123,plain,
    ~ same(s(X1),n0),
    inference(fof_simplification,[status(thm)],[same_definition1]) ).

cnf(c_0_124,plain,
    ( same(s(n0),s(s(s(s(n0)))))
    | same(s(s(s(s(n0)))),s(n0))
    | same(s(s(n0)),s(s(s(n0))))
    | same(s(s(s(s(n0)))),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_95,c_0_122]) ).

cnf(c_0_125,plain,
    ~ same(s(X1),n0),
    c_0_123 ).

cnf(c_0_126,plain,
    ( same(s(s(n0)),s(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(s(s(n0)))),s(s(n0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_124]),c_0_125]) ).

cnf(c_0_127,plain,
    ~ same(n0,s(X1)),
    inference(fof_simplification,[status(thm)],[same_definition2]) ).

cnf(c_0_128,plain,
    ( same(s(s(s(n0))),s(n0))
    | same(s(n0),s(s(s(s(n0)))))
    | same(s(s(s(s(n0)))),s(n0))
    | same(s(s(n0)),s(s(s(n0))))
    | same(s(n0),s(s(s(s(s(n0)))))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_126]) ).

cnf(c_0_129,plain,
    ~ same(n0,s(X1)),
    c_0_127 ).

cnf(c_0_130,plain,
    ( same(s(s(s(n0))),s(n0))
    | same(s(s(n0)),s(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_95,c_0_128]),c_0_129]) ).

cnf(c_0_131,plain,
    ( same(s(s(s(n0))),s(n0))
    | same(s(n0),s(s(s(s(n0)))))
    | same(s(s(n0)),s(s(s(n0)))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_130]),c_0_125]) ).

cnf(c_0_132,plain,
    ( same(s(n0),s(s(n0)))
    | same(s(s(s(n0))),s(n0))
    | same(s(n0),s(s(s(s(n0))))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_131]) ).

cnf(c_0_133,plain,
    ( same(s(n0),s(s(n0)))
    | same(s(s(s(n0))),s(n0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_132]),c_0_129]) ).

cnf(c_0_134,plain,
    same(s(n0),s(s(n0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_133]),c_0_125]) ).

cnf(c_0_135,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_134]),c_0_129]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PUZ034-1.004 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n009.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 03:46:43 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.79/3.00  % Version: 3.5.1
% 19.79/3.00  % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.79/3.00  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.79/3.00  % Starting new_bool_3 with 300s (1) cores
% 19.79/3.00  % Starting new_bool_1 with 300s (1) cores
% 19.79/3.00  % Starting sh5l with 300s (1) cores
% 19.79/3.00  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 774051 completed with status 0
% 19.79/3.00  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 19.79/3.00  % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.79/3.00  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.79/3.00  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.79/3.00  % No SInE strategy applied
% 19.79/3.00  % Search class: FGUNM-FFSF21-MFFFFFNN
% 19.79/3.00  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.79/3.00  % Starting SubtermCWHack with 136s (1) cores
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 19.79/3.00  % Starting new_bool_3 with 136s (1) cores
% 19.79/3.00  % Starting new_bool_1 with 136s (1) cores
% 19.79/3.00  % new_bool_3 with pid 774062 completed with status 0
% 19.79/3.00  % Result found by new_bool_3
% 19.79/3.00  % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.79/3.00  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.79/3.00  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.79/3.00  % No SInE strategy applied
% 19.79/3.00  % Search class: FGUNM-FFSF21-MFFFFFNN
% 19.79/3.00  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.79/3.00  % Starting SubtermCWHack with 136s (1) cores
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.79/3.00  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 19.79/3.00  % Starting new_bool_3 with 136s (1) cores
% 19.79/3.00  % Preprocessing time       : 0.001 s
% 19.79/3.00  % Presaturation interreduction done
% 19.79/3.00  
% 19.79/3.00  % Proof found!
% 19.79/3.00  % SZS status Unsatisfiable
% 19.79/3.00  % SZS output start CNFRefutation
% See solution above
% 19.79/3.00  % Parsed axioms                        : 18
% 19.79/3.00  % Removed by relevancy pruning/SinE    : 0
% 19.79/3.00  % Initial clauses                      : 18
% 19.79/3.00  % Removed in clause preprocessing      : 0
% 19.79/3.00  % Initial clauses in saturation        : 18
% 19.79/3.00  % Processed clauses                    : 3788
% 19.79/3.00  % ...of these trivial                  : 0
% 19.79/3.00  % ...subsumed                          : 9
% 19.79/3.00  % ...remaining for further processing  : 3779
% 19.79/3.00  % Other redundant clauses eliminated   : 0
% 19.79/3.00  % Clauses deleted for lack of memory   : 0
% 19.79/3.00  % Backward-subsumed                    : 183
% 19.79/3.00  % Backward-rewritten                   : 4
% 19.79/3.00  % Generated clauses                    : 13703
% 19.79/3.00  % ...of the previous two non-redundant : 13701
% 19.79/3.00  % ...aggressively subsumed             : 0
% 19.79/3.00  % Contextual simplify-reflections      : 54
% 19.79/3.00  % Paramodulations                      : 13703
% 19.79/3.00  % Factorizations                       : 0
% 19.79/3.00  % NegExts                              : 0
% 19.79/3.00  % Equation resolutions                 : 0
% 19.79/3.00  % Disequality decompositions           : 0
% 19.79/3.00  % Total rewrite steps                  : 135
% 19.79/3.00  % ...of those cached                   : 99
% 19.79/3.00  % Propositional unsat checks           : 0
% 19.79/3.00  %    Propositional check models        : 0
% 19.79/3.00  %    Propositional check unsatisfiable : 0
% 19.79/3.00  %    Propositional clauses             : 0
% 19.79/3.00  %    Propositional clauses after purity: 0
% 19.79/3.00  %    Propositional unsat core size     : 0
% 19.79/3.00  %    Propositional preprocessing time  : 0.000
% 19.79/3.00  %    Propositional encoding time       : 0.000
% 19.79/3.00  %    Propositional solver time         : 0.000
% 19.79/3.00  %    Success case prop preproc time    : 0.000
% 19.79/3.00  %    Success case prop encoding time   : 0.000
% 19.79/3.00  %    Success case prop solver time     : 0.000
% 19.79/3.00  % Current number of processed clauses  : 3574
% 19.79/3.00  %    Positive orientable unit clauses  : 272
% 19.79/3.00  %    Positive unorientable unit clauses: 0
% 19.79/3.00  %    Negative unit clauses             : 4
% 19.79/3.00  %    Non-unit-clauses                  : 3298
% 19.79/3.00  % Current number of unprocessed clauses: 9949
% 19.79/3.00  % ...number of literals in the above   : 82332
% 19.79/3.00  % Current number of archived formulas  : 0
% 19.79/3.00  % Current number of archived clauses   : 205
% 19.79/3.00  % Clause-clause subsumption calls (NU) : 2027532
% 19.79/3.00  % Rec. Clause-clause subsumption calls : 312111
% 19.79/3.00  % Non-unit clause-clause subsumptions  : 245
% 19.79/3.00  % Unit Clause-clause subsumption calls : 2640
% 19.79/3.00  % Rewrite failures with RHS unbound    : 0
% 19.79/3.00  % BW rewrite match attempts            : 42345
% 19.79/3.00  % BW rewrite match successes           : 3
% 19.79/3.00  % Condensation attempts                : 0
% 19.79/3.00  % Condensation successes               : 0
% 19.79/3.00  % Termbank termtop insertions          : 1354160
% 19.79/3.00  % Search garbage collected termcells   : 60
% 19.79/3.00  
% 19.79/3.00  % -------------------------------------------------
% 19.79/3.00  % User time                : 2.500 s
% 19.79/3.00  % System time              : 0.064 s
% 19.79/3.00  % Total time               : 2.564 s
% 19.79/3.00  % Maximum resident set size: 3652 pages
% 19.79/3.00  
% 19.79/3.00  % -------------------------------------------------
% 19.79/3.00  % User time                : 12.614 s
% 19.79/3.00  % System time              : 0.191 s
% 19.79/3.00  % Total time               : 12.806 s
% 19.79/3.00  % Maximum resident set size: 4864 pages
% 19.79/3.00  % E exiting
%------------------------------------------------------------------------------