%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ034-1.004 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:00:19 PM UTC 2026
% Result : Unsatisfiable 3.97s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ034-1.004 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 03:51:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 3.97/1.00 % Refutation found
% 3.97/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.97/1.00 % SZS output start CNFRefutation for theBenchmark
% 3.97/1.00 fof(f1,axiom,(
% 3.97/1.00 (![Low,High,RestOfNumbers,NewLow]: (( range(Low,High,cons(Low,RestOfNumbers))| ~ less(Low,High)| ~ sum(Low,s(n0),NewLow)| ~ range(NewLow,High,RestOfNumbers) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f2,axiom,(
% 3.97/1.00 (![Same]: (range(Same,Same,cons(Same,empty_list)) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f3,axiom,(
% 3.97/1.00 (![X]: (less(n0,s(X)) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f4,axiom,(
% 3.97/1.00 (![X,Y]: (( less(s(X),s(Y))| ~ less(X,Y) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f5,axiom,(
% 3.97/1.00 (![X]: (sum(X,n0,X) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f6,axiom,(
% 3.97/1.00 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(X,s(Y),s(Z)) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f7,axiom,(
% 3.97/1.00 (![Head,Tail]: (select(Head,cons(Head,Tail),Tail) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f8,axiom,(
% 3.97/1.00 (![Element,Head,Tail,NewTail]: (( select(Element,cons(Head,Tail),cons(Head,NewTail))| ~ select(Element,Tail,NewTail) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f9,axiom,(
% 3.97/1.00 (![X]: (~ same(s(X),n0) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f10,axiom,(
% 3.97/1.00 (![X]: (~ same(n0,s(X)) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f11,axiom,(
% 3.97/1.00 (![X,Y]: (( ~ same(s(X),s(Y))| same(X,Y) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f12,axiom,(
% 3.97/1.00 (![Queen,PlacedQueens]: (( diagonal_attack(Queen,s(n0),PlacedQueens)| ~ attack(Queen,PlacedQueens) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f13,axiom,(
% 3.97/1.00 (![Queen,QueenNumber,PlacedQueen,OtherPlacedQueens,Diagonal1,Diagonal2,NextQueenNumber]: (( ~ diagonal_attack(Queen,QueenNumber,cons(PlacedQueen,OtherPlacedQueens))| ~ sum(Diagonal1,QueenNumber,PlacedQueen)| same(Diagonal1,Queen)| ~ sum(PlacedQueen,QueenNumber,Diagonal2)| same(Diagonal2,Queen)| ~ sum(QueenNumber,s(n0),NextQueenNumber)| diagonal_attack(Queen,NextQueenNumber,OtherPlacedQueens) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f14,axiom,(
% 3.97/1.00 (![Queen,LastQueen]: (~ diagonal_attack(Queen,LastQueen,empty_list) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f15,axiom,(
% 3.97/1.00 (![UnplacedQueens,SafeQueens,Placement,AQueen,RestOfUnplacedQueens]: (( do_queens(UnplacedQueens,SafeQueens,Placement)| ~ select(AQueen,UnplacedQueens,RestOfUnplacedQueens)| attack(AQueen,SafeQueens)| ~ do_queens(RestOfUnplacedQueens,cons(AQueen,SafeQueens),Placement) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f16,axiom,(
% 3.97/1.00 (![Placement]: (do_queens(empty_list,Placement,Placement) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f17,axiom,(
% 3.97/1.00 (![NumberOfQueens,Placement,Low,High,Positions]: (( queens(NumberOfQueens,Placement)| ~ sum(NumberOfQueens,s(n0),Low)| ~ sum(NumberOfQueens,NumberOfQueens,High)| ~ range(Low,High,Positions)| ~ do_queens(Positions,empty_list,Placement) ) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f18,negated_conjecture,(
% 3.97/1.00 (![Placement]: (~ queens(s(s(s(s(n0)))),Placement) ))),
% 3.97/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.97/1.00 fof(f19,plain,(
% 3.97/1.00 ![High,RestOfNumbers,NewLow]: ((![Low]: ((range(Low,High,cons(Low,RestOfNumbers))|~less(Low,High))|~sum(Low,s(n0),NewLow)))|~range(NewLow,High,RestOfNumbers))),
% 3.97/1.00 inference(miniscoping,[status(thm)],[f1])).
% 3.97/1.00 fof(f20,plain,(
% 3.97/1.00 ![X0,X1,X2,X3]: (range(X0,X1,cons(X0,X2))|~less(X0,X1)|~sum(X0,s(n0),X3)|~range(X3,X1,X2))),
% 3.97/1.00 inference(cnf_transformation,[status(thm)],[f19])).
% 3.97/1.00 fof(f21,plain,(
% 3.97/1.00 ![X0]: (range(X0,X0,cons(X0,empty_list)))),
% 3.97/1.00 inference(cnf_transformation,[status(thm)],[f2])).
% 3.97/1.00 fof(f22,plain,(
% 3.97/1.00 ![X0]: (less(n0,s(X0)))),
% 3.97/1.00 inference(cnf_transformation,[status(thm)],[f3])).
% 3.97/1.00 fof(f23,plain,(
% 3.97/1.00 ![X0,X1]: (less(s(X0),s(X1))|~less(X0,X1))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f4])).
% 3.97/1.01 fof(f24,plain,(
% 3.97/1.01 ![X0]: (sum(X0,n0,X0))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f5])).
% 3.97/1.01 fof(f25,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X0,s(X1),s(X2)))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f6])).
% 3.97/1.01 fof(f26,plain,(
% 3.97/1.01 ![X0,X1]: (select(X0,cons(X0,X1),X1))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f7])).
% 3.97/1.01 fof(f27,plain,(
% 3.97/1.01 ![Element,Tail,NewTail]: ((![Head]: select(Element,cons(Head,Tail),cons(Head,NewTail)))|~select(Element,Tail,NewTail))),
% 3.97/1.01 inference(miniscoping,[status(thm)],[f8])).
% 3.97/1.01 fof(f28,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (select(X0,cons(X1,X2),cons(X1,X3))|~select(X0,X2,X3))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f27])).
% 3.97/1.01 fof(f29,plain,(
% 3.97/1.01 ![X0]: (~same(s(X0),n0))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f9])).
% 3.97/1.01 fof(f30,plain,(
% 3.97/1.01 ![X0]: (~same(n0,s(X0)))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f10])).
% 3.97/1.01 fof(f31,plain,(
% 3.97/1.01 ![X0,X1]: (~same(s(X0),s(X1))|same(X0,X1))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f11])).
% 3.97/1.01 fof(f32,plain,(
% 3.97/1.01 ![X0,X1]: (diagonal_attack(X0,s(n0),X1)|~attack(X0,X1))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f12])).
% 3.97/1.01 fof(f33,plain,(
% 3.97/1.01 ![Queen,OtherPlacedQueens,NextQueenNumber]: ((![QueenNumber]: ((![Diagonal2]: ((![PlacedQueen]: ((![Diagonal1]: ((~diagonal_attack(Queen,QueenNumber,cons(PlacedQueen,OtherPlacedQueens))|~sum(Diagonal1,QueenNumber,PlacedQueen))|same(Diagonal1,Queen)))|~sum(PlacedQueen,QueenNumber,Diagonal2)))|same(Diagonal2,Queen)))|~sum(QueenNumber,s(n0),NextQueenNumber)))|diagonal_attack(Queen,NextQueenNumber,OtherPlacedQueens))),
% 3.97/1.01 inference(miniscoping,[status(thm)],[f13])).
% 3.97/1.01 fof(f34,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4,X5,X6]: (~diagonal_attack(X0,X1,cons(X2,X3))|~sum(X4,X1,X2)|same(X4,X0)|~sum(X2,X1,X5)|same(X5,X0)|~sum(X1,s(n0),X6)|diagonal_attack(X0,X6,X3))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f33])).
% 3.97/1.01 fof(f35,plain,(
% 3.97/1.01 ![X0,X1]: (~diagonal_attack(X0,X1,empty_list))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f14])).
% 3.97/1.01 fof(f36,plain,(
% 3.97/1.01 ![SafeQueens,Placement,AQueen,RestOfUnplacedQueens]: (((![UnplacedQueens]: (do_queens(UnplacedQueens,SafeQueens,Placement)|~select(AQueen,UnplacedQueens,RestOfUnplacedQueens)))|attack(AQueen,SafeQueens))|~do_queens(RestOfUnplacedQueens,cons(AQueen,SafeQueens),Placement))),
% 3.97/1.01 inference(miniscoping,[status(thm)],[f15])).
% 3.97/1.01 fof(f37,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4]: (do_queens(X0,X1,X2)|~select(X3,X0,X4)|attack(X3,X1)|~do_queens(X4,cons(X3,X1),X2))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f36])).
% 3.97/1.01 fof(f38,plain,(
% 3.97/1.01 ![X0]: (do_queens(empty_list,X0,X0))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f16])).
% 3.97/1.01 fof(f39,plain,(
% 3.97/1.01 ![Placement,Positions]: ((![Low,High]: ((![NumberOfQueens]: ((queens(NumberOfQueens,Placement)|~sum(NumberOfQueens,s(n0),Low))|~sum(NumberOfQueens,NumberOfQueens,High)))|~range(Low,High,Positions)))|~do_queens(Positions,empty_list,Placement))),
% 3.97/1.01 inference(miniscoping,[status(thm)],[f17])).
% 3.97/1.01 fof(f40,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4]: (queens(X0,X1)|~sum(X0,s(n0),X2)|~sum(X0,X0,X3)|~range(X2,X3,X4)|~do_queens(X4,empty_list,X1))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f39])).
% 3.97/1.01 fof(f41,plain,(
% 3.97/1.01 ![X0]: (~queens(s(s(s(s(n0)))),X0))),
% 3.97/1.01 inference(cnf_transformation,[status(thm)],[f18])).
% 3.97/1.01 fof(f43,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~less(X0,X1)|range(s(X0),s(X1),cons(s(X0),X2))|~sum(s(X0),s(n0),X3)|~range(X3,s(X1),X2))),
% 3.97/1.01 inference(resolution,[status(thm)],[f23,f20])).
% 3.97/1.01 fof(f44,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4]: (~sum(X0,n0,X1)|queens(X0,X2)|~sum(X0,X0,X3)|~range(s(X1),X3,X4)|~do_queens(X4,empty_list,X2))),
% 3.97/1.01 inference(resolution,[status(thm)],[f25,f40])).
% 3.97/1.01 fof(f45,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (queens(X0,X1)|~sum(X0,X0,X2)|~range(s(X0),X2,X3)|~do_queens(X3,empty_list,X1))),
% 3.97/1.01 inference(resolution,[status(thm)],[f44,f24])).
% 3.97/1.01 fof(f46,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(s(s(s(s(n0)))),s(s(s(s(n0)))),X0)|~range(s(s(s(s(s(n0))))),X0,X1)|~do_queens(X1,empty_list,X2))),
% 3.97/1.01 inference(resolution,[status(thm)],[f45,f41])).
% 3.97/1.01 fof(f47,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~range(s(s(s(s(s(n0))))),s(X0),X1)|~do_queens(X1,empty_list,X2)|~sum(s(s(s(s(n0)))),s(s(s(n0))),X0))),
% 3.97/1.01 inference(resolution,[status(thm)],[f46,f25])).
% 3.97/1.01 fof(f48,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~range(s(s(s(s(s(n0))))),s(s(X0)),X1)|~do_queens(X1,empty_list,X2)|~sum(s(s(s(s(n0)))),s(s(n0)),X0))),
% 3.97/1.01 inference(resolution,[status(thm)],[f47,f25])).
% 3.97/1.01 fof(f49,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~range(s(s(s(s(s(n0))))),s(s(s(X0))),X1)|~do_queens(X1,empty_list,X2)|~sum(s(s(s(s(n0)))),s(n0),X0))),
% 3.97/1.01 inference(resolution,[status(thm)],[f48,f25])).
% 3.97/1.01 fof(f50,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~range(s(s(s(s(s(n0))))),s(s(s(s(X0)))),X1)|~do_queens(X1,empty_list,X2)|~sum(s(s(s(s(n0)))),n0,X0))),
% 3.97/1.01 inference(resolution,[status(thm)],[f49,f25])).
% 3.97/1.01 fof(f51,plain,(
% 3.97/1.01 ![X0,X1]: (~range(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))),X0)|~do_queens(X0,empty_list,X1))),
% 3.97/1.01 inference(resolution,[status(thm)],[f50,f24])).
% 3.97/1.01 fof(f52,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~do_queens(cons(s(s(s(s(s(n0))))),X0),empty_list,X1)|~less(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))|~sum(s(s(s(s(s(n0))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0))),
% 3.97/1.01 inference(resolution,[status(thm)],[f51,f43])).
% 3.97/1.01 fof(f53,definition,(
% 3.97/1.01 ![X0,X1,X2]: (sQ0_spl <=> (~do_queens(cons(s(s(s(s(s(n0))))),X0),empty_list,X1)|~sum(s(s(s(s(s(n0))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f54,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~do_queens(cons(s(s(s(s(s(n0))))),X0),empty_list,X1)|~sum(s(s(s(s(s(n0))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ0_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f53])).
% 3.97/1.01 fof(f56,definition,(
% 3.97/1.01 sQ1_spl <=> (less(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f58,plain,(
% 3.97/1.01 ~less(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))|sQ1_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f56])).
% 3.97/1.01 fof(f59,plain,(
% 3.97/1.01 sQ0_spl|~sQ1_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f52,f53,f56])).
% 3.97/1.01 fof(f60,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~do_queens(cons(s(s(s(s(s(n0))))),X0),empty_list,X1)|~range(s(X2),s(s(s(s(s(s(s(s(n0)))))))),X0)|~sum(s(s(s(s(s(n0))))),n0,X2)|~sQ0_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f54,f25])).
% 3.97/1.01 fof(f61,plain,(
% 3.97/1.01 ![X0,X1]: (~do_queens(cons(s(s(s(s(s(n0))))),X0),empty_list,X1)|~range(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ0_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f60,f24])).
% 3.97/1.01 fof(f62,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~do_queens(cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),X0)),empty_list,X1)|~less(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(n0))))))))|~sum(s(s(s(s(s(s(n0)))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ0_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f61,f43])).
% 3.97/1.01 fof(f63,definition,(
% 3.97/1.01 ![X0,X1,X2]: (sQ2_spl <=> (~do_queens(cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),X0)),empty_list,X1)|~sum(s(s(s(s(s(s(n0)))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f64,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~do_queens(cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),X0)),empty_list,X1)|~sum(s(s(s(s(s(s(n0)))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ2_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f63])).
% 3.97/1.01 fof(f66,definition,(
% 3.97/1.01 sQ3_spl <=> (less(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f68,plain,(
% 3.97/1.01 ~less(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(n0))))))))|sQ3_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f66])).
% 3.97/1.01 fof(f69,plain,(
% 3.97/1.01 sQ2_spl|~sQ3_spl|~sQ0_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f62,f63,f66,f53])).
% 3.97/1.01 fof(f70,plain,(
% 3.97/1.01 ~less(s(s(s(n0))),s(s(s(s(s(s(n0)))))))|sQ1_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f58,f23])).
% 3.97/1.01 fof(f71,plain,(
% 3.97/1.01 ~less(s(s(n0)),s(s(s(s(s(n0))))))|sQ1_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f70,f23])).
% 3.97/1.01 fof(f72,plain,(
% 3.97/1.01 ~less(s(n0),s(s(s(s(n0)))))|sQ1_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f71,f23])).
% 3.97/1.01 fof(f73,plain,(
% 3.97/1.01 ~less(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))|sQ3_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f68,f23])).
% 3.97/1.01 fof(f74,plain,(
% 3.97/1.01 ~less(n0,s(s(s(n0))))|sQ1_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f72,f23])).
% 3.97/1.01 fof(f75,plain,(
% 3.97/1.01 $false|sQ1_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f74,f22])).
% 3.97/1.01 fof(f76,plain,(
% 3.97/1.01 sQ1_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f75])).
% 3.97/1.01 fof(f82,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~do_queens(cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),X0)),empty_list,X1)|~range(s(X2),s(s(s(s(s(s(s(s(n0)))))))),X0)|~sum(s(s(s(s(s(s(n0)))))),n0,X2)|~sQ2_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f64,f25])).
% 3.97/1.01 fof(f83,plain,(
% 3.97/1.01 ![X0,X1]: (~do_queens(cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),X0)),empty_list,X1)|~range(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ2_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f82,f24])).
% 3.97/1.01 fof(f84,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~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))))))),X0))),empty_list,X1)|~less(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0))))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ2_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f83,f43])).
% 3.97/1.01 fof(f85,definition,(
% 3.97/1.01 ![X0,X1,X2]: (sQ4_spl <=> (~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))))))),X0))),empty_list,X1)|~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f86,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~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))))))),X0))),empty_list,X1)|~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X2)|~range(X2,s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ4_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f85])).
% 3.97/1.01 fof(f88,definition,(
% 3.97/1.01 sQ5_spl <=> (less(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f90,plain,(
% 3.97/1.01 ~less(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0))))))))|sQ5_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f88])).
% 3.97/1.01 fof(f91,plain,(
% 3.97/1.01 sQ4_spl|~sQ5_spl|~sQ2_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f84,f85,f88,f63])).
% 3.97/1.01 fof(f92,plain,(
% 3.97/1.01 ~less(s(s(s(n0))),s(s(s(s(s(n0))))))|sQ3_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f73,f23])).
% 3.97/1.01 fof(f94,plain,(
% 3.97/1.01 ~less(s(s(n0)),s(s(s(s(n0)))))|sQ3_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f92,f23])).
% 3.97/1.01 fof(f95,plain,(
% 3.97/1.01 ~less(s(s(s(s(s(n0))))),s(s(s(s(s(s(n0)))))))|sQ5_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f90,f23])).
% 3.97/1.01 fof(f96,plain,(
% 3.97/1.01 ~less(s(n0),s(s(s(n0))))|sQ3_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f94,f23])).
% 3.97/1.01 fof(f97,plain,(
% 3.97/1.01 ~less(n0,s(s(n0)))|sQ3_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f96,f23])).
% 3.97/1.01 fof(f98,plain,(
% 3.97/1.01 $false|sQ3_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f97,f22])).
% 3.97/1.01 fof(f99,plain,(
% 3.97/1.01 sQ3_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f98])).
% 3.97/1.01 fof(f105,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~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))))))),X0))),empty_list,X1)|~range(s(X2),s(s(s(s(s(s(s(s(n0)))))))),X0)|~sum(s(s(s(s(s(s(s(n0))))))),n0,X2)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f86,f25])).
% 3.97/1.01 fof(f106,plain,(
% 3.97/1.01 ![X0,X1]: (~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))))))),X0))),empty_list,X1)|~range(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0)))))))),X0)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f105,f24])).
% 3.97/1.01 fof(f107,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~range(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0)))))))),X0)|~select(X1,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(n0))))))),X0))),X2)|attack(X1,empty_list)|~do_queens(X2,cons(X1,empty_list),X3)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f106,f37])).
% 3.97/1.01 fof(f109,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~select(X0,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)))),X1)|attack(X0,empty_list)|~do_queens(X1,cons(X0,empty_list),X2)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f107,f21])).
% 3.97/1.01 fof(f118,plain,(
% 3.97/1.01 ~less(s(s(s(s(n0)))),s(s(s(s(s(n0))))))|sQ5_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f95,f23])).
% 3.97/1.01 fof(f119,plain,(
% 3.97/1.01 ~less(s(s(s(n0))),s(s(s(s(n0)))))|sQ5_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f118,f23])).
% 3.97/1.01 fof(f120,plain,(
% 3.97/1.01 ~less(s(s(n0)),s(s(s(n0))))|sQ5_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f119,f23])).
% 3.97/1.01 fof(f121,plain,(
% 3.97/1.01 ~less(s(n0),s(s(n0)))|sQ5_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f120,f23])).
% 3.97/1.01 fof(f122,plain,(
% 3.97/1.01 ~less(n0,s(n0))|sQ5_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f121,f23])).
% 3.97/1.01 fof(f123,plain,(
% 3.97/1.01 $false|sQ5_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f122,f22])).
% 3.97/1.01 fof(f124,plain,(
% 3.97/1.01 sQ5_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f123])).
% 3.97/1.01 fof(f126,plain,(
% 3.97/1.01 ![X0,X1,X2]: (attack(X0,empty_list)|~do_queens(cons(s(s(s(s(s(n0))))),X1),cons(X0,empty_list),X2)|~select(X0,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))),X1)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f109,f28])).
% 3.97/1.01 fof(f141,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4]: (attack(X0,empty_list)|~select(X0,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))),X1)|~select(X2,cons(s(s(s(s(s(n0))))),X1),X3)|attack(X2,cons(X0,empty_list))|~do_queens(X3,cons(X2,cons(X0,empty_list)),X4)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f126,f37])).
% 3.97/1.01 fof(f157,definition,(
% 3.97/1.01 ![X0]: (sQ12_spl <=> (~sum(X0,s(n0),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f158,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(n0),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sQ12_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f157])).
% 3.97/1.01 fof(f182,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4]: (attack(X0,empty_list)|~select(X1,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),X2)),X3)|attack(X1,cons(X0,empty_list))|~do_queens(X3,cons(X1,cons(X0,empty_list)),X4)|~select(X0,cons(s(s(s(s(s(s(s(n0))))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)),X2)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f141,f28])).
% 3.97/1.01 fof(f212,plain,(
% 3.97/1.01 ![X0,X1,X2]: (attack(s(s(s(s(s(s(s(n0))))))),empty_list)|~select(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list))),X1)|attack(X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~do_queens(X1,cons(X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list)),X2)|~sQ4_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f182,f26])).
% 3.97/1.01 fof(f213,definition,(
% 3.97/1.01 sQ19_spl <=> (attack(s(s(s(s(s(s(s(n0))))))),empty_list))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f214,plain,(
% 3.97/1.01 attack(s(s(s(s(s(s(s(n0))))))),empty_list)|~sQ19_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f213])).
% 3.97/1.01 fof(f216,definition,(
% 3.97/1.01 ![X0,X1,X2]: (sQ20_spl <=> (~select(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list))),X1)|attack(X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~do_queens(X1,cons(X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list)),X2)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f217,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~select(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list))),X1)|attack(X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~do_queens(X1,cons(X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list)),X2)|~sQ20_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f216])).
% 3.97/1.01 fof(f219,plain,(
% 3.97/1.01 sQ19_spl|sQ20_spl|~sQ4_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f212,f213,f216,f85])).
% 3.97/1.01 fof(f220,plain,(
% 3.97/1.01 diagonal_attack(s(s(s(s(s(s(s(n0))))))),s(n0),empty_list)|~sQ19_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f214,f32])).
% 3.97/1.01 fof(f221,plain,(
% 3.97/1.01 $false|~sQ19_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f220,f35])).
% 3.97/1.01 fof(f222,plain,(
% 3.97/1.01 ~sQ19_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f221])).
% 3.97/1.01 fof(f250,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(n0)))))))|~sum(X0,n0,s(s(s(s(n0)))))|~sQ12_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f158,f25])).
% 3.97/1.01 fof(f260,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))|~sQ12_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f250,f24])).
% 3.97/1.01 fof(f261,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(s(s(s(n0))))))|~sQ12_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f260,f31])).
% 3.97/1.01 fof(f262,plain,(
% 3.97/1.01 same(s(s(n0)),s(s(s(s(n0)))))|~sQ12_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f261,f31])).
% 3.97/1.01 fof(f263,plain,(
% 3.97/1.01 same(s(n0),s(s(s(n0))))|~sQ12_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f262,f31])).
% 3.97/1.01 fof(f264,plain,(
% 3.97/1.01 same(n0,s(s(n0)))|~sQ12_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f263,f31])).
% 3.97/1.01 fof(f265,plain,(
% 3.97/1.01 $false|~sQ12_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f264,f30])).
% 3.97/1.01 fof(f266,plain,(
% 3.97/1.01 ~sQ12_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f265])).
% 3.97/1.01 fof(f277,plain,(
% 3.97/1.01 ![X0]: (attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~do_queens(cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)),X0)|~sQ20_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f217,f26])).
% 3.97/1.01 fof(f278,definition,(
% 3.97/1.01 sQ29_spl <=> (attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f279,plain,(
% 3.97/1.01 attack(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ29_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f278])).
% 3.97/1.01 fof(f281,definition,(
% 3.97/1.01 ![X0]: (sQ30_spl <=> (~do_queens(cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)),X0)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f282,plain,(
% 3.97/1.01 ![X0]: (~do_queens(cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)),X0)|~sQ30_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f281])).
% 3.97/1.01 fof(f284,plain,(
% 3.97/1.01 sQ29_spl|sQ30_spl|~sQ20_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f277,f278,f281,f216])).
% 3.97/1.01 fof(f299,plain,(
% 3.97/1.01 diagonal_attack(s(s(s(s(s(n0))))),s(n0),cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ29_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f279,f32])).
% 3.97/1.01 fof(f307,definition,(
% 3.97/1.01 ![X2]: (sQ33_spl <=> (~sum(s(n0),s(n0),X2)|diagonal_attack(s(s(s(s(s(n0))))),X2,empty_list)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f308,plain,(
% 3.97/1.01 ![X0]: (~sum(s(n0),s(n0),X0)|diagonal_attack(s(s(s(s(s(n0))))),X0,empty_list)|~sQ33_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f307])).
% 3.97/1.01 fof(f311,plain,(
% 3.97/1.01 ![X0]: (~sum(s(n0),s(n0),X0)|~sQ33_spl)),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f308,f35])).
% 3.97/1.01 fof(f312,plain,(
% 3.97/1.01 ![X0]: (~sum(s(n0),n0,X0)|~sQ33_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f311,f25])).
% 3.97/1.01 fof(f314,plain,(
% 3.97/1.01 $false|~sQ33_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f312,f24])).
% 3.97/1.01 fof(f315,plain,(
% 3.97/1.01 ~sQ33_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f314])).
% 3.97/1.01 fof(f376,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,s(n0),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(n0))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)|same(X1,s(s(s(s(s(n0))))))|~sum(s(n0),s(n0),X2)|diagonal_attack(s(s(s(s(s(n0))))),X2,empty_list)|~sQ29_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f299,f34])).
% 3.97/1.01 fof(f377,definition,(
% 3.97/1.01 ![X0]: (sQ43_spl <=> (~sum(X0,s(n0),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(n0))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f378,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(n0),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(n0))))))|~sQ43_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f377])).
% 3.97/1.01 fof(f380,definition,(
% 3.97/1.01 ![X1]: (sQ44_spl <=> (~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X1)|same(X1,s(s(s(s(s(n0))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f381,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X0)|same(X0,s(s(s(s(s(n0))))))|~sQ44_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f380])).
% 3.97/1.01 fof(f383,plain,(
% 3.97/1.01 sQ43_spl|sQ44_spl|sQ33_spl|~sQ29_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f376,f377,f380,f307,f278])).
% 3.97/1.01 fof(f389,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~select(X0,cons(s(s(s(s(s(s(n0)))))),cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list)),X1)|attack(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))|~do_queens(X1,cons(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))),X2)|~sQ30_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f282,f37])).
% 3.97/1.01 fof(f406,plain,(
% 3.97/1.01 ![X0]: (same(s(X0),s(s(s(s(s(n0))))))|~sum(s(s(s(s(s(s(s(n0))))))),n0,X0)|~sQ44_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f381,f25])).
% 3.97/1.01 fof(f407,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(n0))))))|~sum(X0,n0,s(s(s(s(s(s(n0)))))))|~sQ43_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f378,f25])).
% 3.97/1.01 fof(f408,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))|~sQ43_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f407,f24])).
% 3.97/1.01 fof(f409,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))|~sQ43_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f408,f31])).
% 3.97/1.01 fof(f410,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(n0))))|~sQ43_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f409,f31])).
% 3.97/1.01 fof(f423,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(n0)))|~sQ43_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f410,f31])).
% 3.97/1.01 fof(f424,plain,(
% 3.97/1.01 same(s(s(n0)),s(n0))|~sQ43_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f423,f31])).
% 3.97/1.01 fof(f425,plain,(
% 3.97/1.01 same(s(n0),n0)|~sQ43_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f424,f31])).
% 3.97/1.01 fof(f426,plain,(
% 3.97/1.01 $false|~sQ43_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f425,f29])).
% 3.97/1.01 fof(f427,plain,(
% 3.97/1.01 ~sQ43_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f426])).
% 3.97/1.01 fof(f458,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))|~sQ44_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f406,f24])).
% 3.97/1.01 fof(f459,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))|~sQ44_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f458,f31])).
% 3.97/1.01 fof(f460,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))|~sQ44_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f459,f31])).
% 3.97/1.01 fof(f461,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(n0)))|~sQ44_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f460,f31])).
% 3.97/1.01 fof(f462,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(n0))|~sQ44_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f461,f31])).
% 3.97/1.01 fof(f463,plain,(
% 3.97/1.01 same(s(s(s(n0))),n0)|~sQ44_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f462,f31])).
% 3.97/1.01 fof(f464,plain,(
% 3.97/1.01 $false|~sQ44_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f463,f29])).
% 3.97/1.01 fof(f465,plain,(
% 3.97/1.01 ~sQ44_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f464])).
% 3.97/1.01 fof(f486,definition,(
% 3.97/1.01 ![X0]: (sQ56_spl <=> (~sum(X0,s(n0),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f487,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(n0),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sQ56_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f486])).
% 3.97/1.01 fof(f489,definition,(
% 3.97/1.01 ![X1]: (sQ57_spl <=> (~sum(s(s(s(s(s(n0))))),s(n0),X1)|same(X1,s(s(s(s(s(s(s(s(n0)))))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f490,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(n0))))),s(n0),X0)|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sQ57_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f489])).
% 3.97/1.01 fof(f543,plain,(
% 3.97/1.01 ![X0]: (same(s(X0),s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(n0))))),n0,X0)|~sQ57_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f490,f25])).
% 3.97/1.01 fof(f544,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sum(X0,n0,s(s(s(s(n0)))))|~sQ56_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f487,f25])).
% 3.97/1.01 fof(f545,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0)))))))))|~sQ56_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f544,f24])).
% 3.97/1.01 fof(f546,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))|~sQ56_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f545,f31])).
% 3.97/1.01 fof(f547,plain,(
% 3.97/1.01 same(s(s(n0)),s(s(s(s(s(s(n0)))))))|~sQ56_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f546,f31])).
% 3.97/1.01 fof(f548,plain,(
% 3.97/1.01 ![X0,X1,X2]: (attack(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))|~do_queens(cons(s(s(s(s(s(s(n0)))))),X1),cons(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))),X2)|~select(X0,cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list),X1)|~sQ30_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f389,f28])).
% 3.97/1.01 fof(f566,plain,(
% 3.97/1.01 same(s(n0),s(s(s(s(s(n0))))))|~sQ56_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f547,f31])).
% 3.97/1.01 fof(f567,plain,(
% 3.97/1.01 same(n0,s(s(s(s(n0)))))|~sQ56_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f566,f31])).
% 3.97/1.01 fof(f568,plain,(
% 3.97/1.01 $false|~sQ56_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f567,f30])).
% 3.97/1.01 fof(f569,plain,(
% 3.97/1.01 ~sQ56_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f568])).
% 3.97/1.01 fof(f604,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(n0))))),n0,X0)|same(X0,s(s(s(s(s(s(s(n0))))))))|~sQ57_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f543,f31])).
% 3.97/1.01 fof(f605,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(n0))))))))|~sQ57_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f604,f24])).
% 3.97/1.01 fof(f606,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))))|~sQ57_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f605,f31])).
% 3.97/1.01 fof(f611,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(s(s(s(n0))))))|~sQ57_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f606,f31])).
% 3.97/1.01 fof(f612,plain,(
% 3.97/1.01 same(s(s(n0)),s(s(s(s(n0)))))|~sQ57_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f611,f31])).
% 3.97/1.01 fof(f613,plain,(
% 3.97/1.01 same(s(n0),s(s(s(n0))))|~sQ57_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f612,f31])).
% 3.97/1.01 fof(f614,plain,(
% 3.97/1.01 same(n0,s(s(n0)))|~sQ57_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f613,f31])).
% 3.97/1.01 fof(f615,plain,(
% 3.97/1.01 $false|~sQ57_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f614,f30])).
% 3.97/1.01 fof(f616,plain,(
% 3.97/1.01 ~sQ57_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f615])).
% 3.97/1.01 fof(f652,definition,(
% 3.97/1.01 ![X0]: (sQ75_spl <=> (~sum(X0,s(n0),s(s(s(s(s(s(n0)))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f653,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(n0),s(s(s(s(s(s(n0)))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sQ75_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f652])).
% 3.97/1.01 fof(f660,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sum(X0,n0,s(s(s(s(s(n0))))))|~sQ75_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f653,f25])).
% 3.97/1.01 fof(f661,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(n0)))))))))|~sQ75_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f660,f24])).
% 3.97/1.01 fof(f662,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0))))))))|~sQ75_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f661,f31])).
% 3.97/1.01 fof(f686,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))|~sQ75_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f662,f31])).
% 3.97/1.01 fof(f687,plain,(
% 3.97/1.01 same(s(s(n0)),s(s(s(s(s(n0))))))|~sQ75_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f686,f31])).
% 3.97/1.01 fof(f688,plain,(
% 3.97/1.01 same(s(n0),s(s(s(s(n0)))))|~sQ75_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f687,f31])).
% 3.97/1.01 fof(f698,plain,(
% 3.97/1.01 same(n0,s(s(s(n0))))|~sQ75_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f688,f31])).
% 3.97/1.01 fof(f699,plain,(
% 3.97/1.01 $false|~sQ75_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f698,f30])).
% 3.97/1.01 fof(f700,plain,(
% 3.97/1.01 ~sQ75_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f699])).
% 3.97/1.01 fof(f715,plain,(
% 3.97/1.01 ![X0,X1,X2,X3,X4]: (attack(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))|~select(X0,cons(s(s(s(s(s(s(s(s(n0)))))))),empty_list),X1)|~select(X2,cons(s(s(s(s(s(s(n0)))))),X1),X3)|attack(X2,cons(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list))))|~do_queens(X3,cons(X2,cons(X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))),X4)|~sQ30_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f548,f37])).
% 3.97/1.01 fof(f724,definition,(
% 3.97/1.01 ![X0]: (sQ86_spl <=> (~sum(X0,s(n0),s(s(s(s(s(s(s(s(n0)))))))))|same(X0,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f725,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(n0),s(s(s(s(s(s(s(s(n0)))))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sQ86_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f724])).
% 3.97/1.01 fof(f727,definition,(
% 3.97/1.01 ![X1]: (sQ87_spl <=> (~sum(s(s(s(s(s(s(s(s(n0)))))))),s(n0),X1)|same(X1,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f728,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(s(s(s(n0)))))))),s(n0),X0)|same(X0,s(s(s(s(s(s(n0)))))))|~sQ87_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f727])).
% 3.97/1.01 fof(f731,plain,(
% 3.97/1.01 ![X0]: (same(s(X0),s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(s(n0)))))))),n0,X0)|~sQ87_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f728,f25])).
% 3.97/1.01 fof(f732,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(n0)))))))|~sum(X0,n0,s(s(s(s(s(s(s(n0))))))))|~sQ86_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f725,f25])).
% 3.97/1.01 fof(f735,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f732,f24])).
% 3.97/1.01 fof(f736,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f735,f31])).
% 3.97/1.01 fof(f737,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f736,f31])).
% 3.97/1.01 fof(f747,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(n0))))|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f737,f31])).
% 3.97/1.01 fof(f748,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(n0)))|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f747,f31])).
% 3.97/1.01 fof(f749,plain,(
% 3.97/1.01 same(s(s(n0)),s(n0))|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f748,f31])).
% 3.97/1.01 fof(f750,plain,(
% 3.97/1.01 same(s(n0),n0)|~sQ86_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f749,f31])).
% 3.97/1.01 fof(f751,plain,(
% 3.97/1.01 $false|~sQ86_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f750,f29])).
% 3.97/1.01 fof(f752,plain,(
% 3.97/1.01 ~sQ86_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f751])).
% 3.97/1.01 fof(f753,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(n0)))))))|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f731,f24])).
% 3.97/1.01 fof(f754,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0))))))|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f753,f31])).
% 3.97/1.01 fof(f757,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0)))))|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f754,f31])).
% 3.97/1.01 fof(f758,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(s(n0))))|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f757,f31])).
% 3.97/1.01 fof(f759,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(n0)))|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f758,f31])).
% 3.97/1.01 fof(f760,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(n0))|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f759,f31])).
% 3.97/1.01 fof(f761,plain,(
% 3.97/1.01 same(s(s(s(n0))),n0)|~sQ87_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f760,f31])).
% 3.97/1.01 fof(f762,plain,(
% 3.97/1.01 $false|~sQ87_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f761,f29])).
% 3.97/1.01 fof(f763,plain,(
% 3.97/1.01 ~sQ87_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f762])).
% 3.97/1.01 fof(f959,plain,(
% 3.97/1.01 ![X0,X1,X2]: (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)))|~select(X0,cons(s(s(s(s(s(s(n0)))))),empty_list),X1)|attack(X0,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))))|~do_queens(X1,cons(X0,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)))),X2)|~sQ30_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f715,f26])).
% 3.97/1.01 fof(f960,definition,(
% 3.97/1.01 sQ116_spl <=> (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))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f961,plain,(
% 3.97/1.01 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)))|~sQ116_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f960])).
% 3.97/1.01 fof(f963,definition,(
% 3.97/1.01 ![X0,X1,X2]: (sQ117_spl <=> (~select(X0,cons(s(s(s(s(s(s(n0)))))),empty_list),X1)|attack(X0,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))))|~do_queens(X1,cons(X0,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)))),X2)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f964,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~select(X0,cons(s(s(s(s(s(s(n0)))))),empty_list),X1)|attack(X0,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))))|~do_queens(X1,cons(X0,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)))),X2)|~sQ117_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f963])).
% 3.97/1.01 fof(f966,plain,(
% 3.97/1.01 sQ116_spl|sQ117_spl|~sQ30_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f959,f960,f963,f281])).
% 3.97/1.01 fof(f967,plain,(
% 3.97/1.01 diagonal_attack(s(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(n0))))))),empty_list)))|~sQ116_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f961,f32])).
% 3.97/1.01 fof(f981,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,s(n0),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(n0))))),s(n0),X1)|same(X1,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(n0),s(n0),X2)|diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),X2,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ116_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f967,f34])).
% 3.97/1.01 fof(f982,definition,(
% 3.97/1.01 ![X2]: (sQ120_spl <=> (~sum(s(n0),s(n0),X2)|diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),X2,cons(s(s(s(s(s(s(s(n0))))))),empty_list))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f983,plain,(
% 3.97/1.01 ![X0]: (~sum(s(n0),s(n0),X0)|diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ120_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f982])).
% 3.97/1.01 fof(f985,plain,(
% 3.97/1.01 sQ56_spl|sQ57_spl|sQ120_spl|~sQ116_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f981,f486,f489,f982,f960])).
% 3.97/1.01 fof(f986,plain,(
% 3.97/1.01 ![X0]: (diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),s(X0),cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sum(s(n0),n0,X0)|~sQ120_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f983,f25])).
% 3.97/1.01 fof(f987,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~sum(s(n0),n0,X0)|~sum(X1,s(X0),s(s(s(s(s(s(s(n0))))))))|same(X1,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(X0),X2)|same(X2,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(X0),s(n0),X3)|diagonal_attack(s(s(s(s(s(s(s(s(n0)))))))),X3,empty_list)|~sQ120_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f986,f34])).
% 3.97/1.01 fof(f988,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~sum(s(n0),n0,X0)|~sum(X1,s(X0),s(s(s(s(s(s(s(n0))))))))|same(X1,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(X0),X2)|same(X2,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(X0),s(n0),X3)|~sQ120_spl)),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f987,f35])).
% 3.97/1.01 fof(f1097,definition,(
% 3.97/1.01 ![X2]: (sQ138_spl <=> (~sum(s(s(n0)),s(n0),X2)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1098,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(n0)),s(n0),X0)|~sQ138_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1097])).
% 3.97/1.01 fof(f1101,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(n0)),n0,X0)|~sQ138_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1098,f25])).
% 3.97/1.01 fof(f1102,plain,(
% 3.97/1.01 $false|~sQ138_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1101,f24])).
% 3.97/1.01 fof(f1103,plain,(
% 3.97/1.01 ~sQ138_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f1102])).
% 3.97/1.01 fof(f1221,plain,(
% 3.97/1.01 ![X0]: (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))))|~do_queens(empty_list,cons(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)))),X0)|~sQ117_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f964,f26])).
% 3.97/1.01 fof(f1222,definition,(
% 3.97/1.01 sQ154_spl <=> (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)))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1223,plain,(
% 3.97/1.01 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))))|~sQ154_spl),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1222])).
% 3.97/1.01 fof(f1225,definition,(
% 3.97/1.01 ![X0]: (sQ155_spl <=> (~do_queens(empty_list,cons(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)))),X0)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1226,plain,(
% 3.97/1.01 ![X0]: (~do_queens(empty_list,cons(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)))),X0)|~sQ155_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1225])).
% 3.97/1.01 fof(f1228,plain,(
% 3.97/1.01 sQ154_spl|sQ155_spl|~sQ117_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f1221,f1222,f1225,f963])).
% 3.97/1.01 fof(f1229,plain,(
% 3.97/1.01 diagonal_attack(s(s(s(s(s(s(n0)))))),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))))|~sQ154_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1223,f32])).
% 3.97/1.01 fof(f1237,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,s(n0),s(s(s(s(s(s(s(s(n0)))))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(s(n0)))))))),s(n0),X1)|same(X1,s(s(s(s(s(s(n0)))))))|~sum(s(n0),s(n0),X2)|diagonal_attack(s(s(s(s(s(s(n0)))))),X2,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))|~sQ154_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1229,f34])).
% 3.97/1.01 fof(f1238,definition,(
% 3.97/1.01 ![X2]: (sQ157_spl <=> (~sum(s(n0),s(n0),X2)|diagonal_attack(s(s(s(s(s(s(n0)))))),X2,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1239,plain,(
% 3.97/1.01 ![X0]: (~sum(s(n0),s(n0),X0)|diagonal_attack(s(s(s(s(s(s(n0)))))),X0,cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))|~sQ157_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1238])).
% 3.97/1.01 fof(f1241,plain,(
% 3.97/1.01 sQ86_spl|sQ87_spl|sQ157_spl|~sQ154_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f1237,f724,f727,f1238,f1222])).
% 3.97/1.01 fof(f1242,plain,(
% 3.97/1.01 ![X0]: (diagonal_attack(s(s(s(s(s(s(n0)))))),s(X0),cons(s(s(s(s(s(n0))))),cons(s(s(s(s(s(s(s(n0))))))),empty_list)))|~sum(s(n0),n0,X0)|~sQ157_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1239,f25])).
% 3.97/1.01 fof(f1255,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~sum(s(n0),n0,X0)|~sum(X1,s(X0),s(s(s(s(s(n0))))))|same(X1,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(n0))))),s(X0),X2)|same(X2,s(s(s(s(s(s(n0)))))))|~sum(s(X0),s(n0),X3)|diagonal_attack(s(s(s(s(s(s(n0)))))),X3,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ157_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1242,f34])).
% 3.97/1.01 fof(f1266,plain,(
% 3.97/1.01 $false|~sQ155_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1226,f38])).
% 3.97/1.01 fof(f1268,plain,(
% 3.97/1.01 ~sQ155_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f1266])).
% 3.97/1.01 fof(f1270,definition,(
% 3.97/1.01 ![X0]: (sQ160_spl <=> (~sum(X0,s(s(n0)),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1271,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(s(n0)),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sQ160_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1270])).
% 3.97/1.01 fof(f1273,definition,(
% 3.97/1.01 ![X1]: (sQ161_spl <=> (~sum(s(s(s(s(s(n0))))),s(s(n0)),X1)|same(X1,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1274,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(n0))))),s(s(n0)),X0)|same(X0,s(s(s(s(s(s(n0)))))))|~sQ161_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1273])).
% 3.97/1.01 fof(f1295,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(n0)))))))|~sum(X0,s(n0),s(s(s(s(n0)))))|~sQ160_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1271,f25])).
% 3.97/1.01 fof(f1296,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(n0)))))))|~sum(X0,n0,s(s(s(n0))))|~sQ160_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1295,f25])).
% 3.97/1.01 fof(f1297,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(s(s(s(s(n0)))))))|~sQ160_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1296,f24])).
% 3.97/1.01 fof(f1298,plain,(
% 3.97/1.01 same(s(s(n0)),s(s(s(s(s(n0))))))|~sQ160_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1297,f31])).
% 3.97/1.01 fof(f1299,plain,(
% 3.97/1.01 same(s(n0),s(s(s(s(n0)))))|~sQ160_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1298,f31])).
% 3.97/1.01 fof(f1300,plain,(
% 3.97/1.01 same(n0,s(s(s(n0))))|~sQ160_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1299,f31])).
% 3.97/1.01 fof(f1301,plain,(
% 3.97/1.01 $false|~sQ160_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1300,f30])).
% 3.97/1.01 fof(f1302,plain,(
% 3.97/1.01 ~sQ160_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f1301])).
% 3.97/1.01 fof(f1303,plain,(
% 3.97/1.01 ![X0]: (same(s(X0),s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(n0))))),s(n0),X0)|~sQ161_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1274,f25])).
% 3.97/1.01 fof(f1304,plain,(
% 3.97/1.01 ![X0]: (same(s(s(X0)),s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(n0))))),n0,X0)|~sQ161_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1303,f25])).
% 3.97/1.01 fof(f1305,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(n0))))),n0,X0)|same(s(X0),s(s(s(s(s(n0))))))|~sQ161_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1304,f31])).
% 3.97/1.01 fof(f1307,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))|~sQ161_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1305,f24])).
% 3.97/1.01 fof(f1308,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))|~sQ161_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1307,f31])).
% 3.97/1.01 fof(f1309,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(n0))))|~sQ161_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1308,f31])).
% 3.97/1.01 fof(f1310,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(n0)))|~sQ161_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1309,f31])).
% 3.97/1.01 fof(f1311,plain,(
% 3.97/1.01 same(s(s(n0)),s(n0))|~sQ161_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1310,f31])).
% 3.97/1.01 fof(f1312,plain,(
% 3.97/1.01 same(s(n0),n0)|~sQ161_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1311,f31])).
% 3.97/1.01 fof(f1313,plain,(
% 3.97/1.01 $false|~sQ161_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1312,f29])).
% 3.97/1.01 fof(f1314,plain,(
% 3.97/1.01 ~sQ161_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f1313])).
% 3.97/1.01 fof(f1728,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,s(s(n0)),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)|same(X1,s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(n0)),s(n0),X2)|~sQ120_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f988,f24])).
% 3.97/1.01 fof(f1729,definition,(
% 3.97/1.01 ![X0]: (sQ218_spl <=> (~sum(X0,s(s(n0)),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1730,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(s(n0)),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sQ218_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1729])).
% 3.97/1.01 fof(f1732,definition,(
% 3.97/1.01 ![X1]: (sQ219_spl <=> (~sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X1)|same(X1,s(s(s(s(s(s(s(s(n0)))))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1733,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X0)|same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sQ219_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1732])).
% 3.97/1.01 fof(f1735,plain,(
% 3.97/1.01 sQ218_spl|sQ219_spl|sQ138_spl|~sQ120_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f1728,f1729,f1732,f1097,f982])).
% 3.97/1.01 fof(f1753,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(s(s(n0)))))))))|~sum(X0,s(n0),s(s(s(s(s(s(n0)))))))|~sQ218_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1730,f25])).
% 3.97/1.01 fof(f1754,plain,(
% 3.97/1.01 sQ75_spl|~sQ218_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f1753,f652,f1729])).
% 3.97/1.01 fof(f1755,plain,(
% 3.97/1.01 ![X0]: (same(s(X0),s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X0)|~sQ219_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1733,f25])).
% 3.97/1.01 fof(f1757,plain,(
% 3.97/1.01 ![X0]: (same(s(s(X0)),s(s(s(s(s(s(s(s(n0)))))))))|~sum(s(s(s(s(s(s(s(n0))))))),n0,X0)|~sQ219_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1755,f25])).
% 3.97/1.01 fof(f1760,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(s(s(n0))))))),n0,X0)|same(s(X0),s(s(s(s(s(s(s(n0))))))))|~sQ219_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1757,f31])).
% 3.97/1.01 fof(f1764,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0))))))))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1760,f24])).
% 3.97/1.01 fof(f1765,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(n0)))))))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1764,f31])).
% 3.97/1.01 fof(f1766,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0))))))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1765,f31])).
% 3.97/1.01 fof(f1767,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(s(s(s(n0)))))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1766,f31])).
% 3.97/1.01 fof(f1768,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),s(s(s(n0))))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1767,f31])).
% 3.97/1.01 fof(f1769,plain,(
% 3.97/1.01 same(s(s(s(n0))),s(s(n0)))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1768,f31])).
% 3.97/1.01 fof(f1770,plain,(
% 3.97/1.01 same(s(s(n0)),s(n0))|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1769,f31])).
% 3.97/1.01 fof(f1771,plain,(
% 3.97/1.01 same(s(n0),n0)|~sQ219_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1770,f31])).
% 3.97/1.01 fof(f1772,plain,(
% 3.97/1.01 $false|~sQ219_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1771,f29])).
% 3.97/1.01 fof(f1773,plain,(
% 3.97/1.01 ~sQ219_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f1772])).
% 3.97/1.01 fof(f1801,definition,(
% 3.97/1.01 ![X2]: (sQ227_spl <=> (~sum(s(s(s(n0))),s(n0),X2)))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1802,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(n0))),s(n0),X0)|~sQ227_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1801])).
% 3.97/1.01 fof(f1805,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(n0))),n0,X0)|~sQ227_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1802,f25])).
% 3.97/1.01 fof(f1806,plain,(
% 3.97/1.01 $false|~sQ227_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f1805,f24])).
% 3.97/1.01 fof(f1807,plain,(
% 3.97/1.01 ~sQ227_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f1806])).
% 3.97/1.01 fof(f1830,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,s(s(n0)),s(s(s(s(s(n0))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(n0))))),s(s(n0)),X1)|same(X1,s(s(s(s(s(s(n0)))))))|~sum(s(s(n0)),s(n0),X2)|diagonal_attack(s(s(s(s(s(s(n0)))))),X2,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ157_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1255,f24])).
% 3.97/1.01 fof(f1831,definition,(
% 3.97/1.01 ![X2]: (sQ230_spl <=> (~sum(s(s(n0)),s(n0),X2)|diagonal_attack(s(s(s(s(s(s(n0)))))),X2,cons(s(s(s(s(s(s(s(n0))))))),empty_list))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f1832,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(n0)),s(n0),X0)|diagonal_attack(s(s(s(s(s(s(n0)))))),X0,cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sQ230_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f1831])).
% 3.97/1.01 fof(f1834,plain,(
% 3.97/1.01 sQ160_spl|sQ161_spl|sQ230_spl|~sQ157_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f1830,f1270,f1273,f1831,f1238])).
% 3.97/1.01 fof(f1910,plain,(
% 3.97/1.01 ![X0]: (diagonal_attack(s(s(s(s(s(s(n0)))))),s(X0),cons(s(s(s(s(s(s(s(n0))))))),empty_list))|~sum(s(s(n0)),n0,X0)|~sQ230_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1832,f25])).
% 3.97/1.01 fof(f1998,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~sum(s(s(n0)),n0,X0)|~sum(X1,s(X0),s(s(s(s(s(s(s(n0))))))))|same(X1,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(X0),X2)|same(X2,s(s(s(s(s(s(n0)))))))|~sum(s(X0),s(n0),X3)|diagonal_attack(s(s(s(s(s(s(n0)))))),X3,empty_list)|~sQ230_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1910,f34])).
% 3.97/1.01 fof(f1999,plain,(
% 3.97/1.01 ![X0,X1,X2,X3]: (~sum(s(s(n0)),n0,X0)|~sum(X1,s(X0),s(s(s(s(s(s(s(n0))))))))|same(X1,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(X0),X2)|same(X2,s(s(s(s(s(s(n0)))))))|~sum(s(X0),s(n0),X3)|~sQ230_spl)),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f1998,f35])).
% 3.97/1.01 fof(f2040,plain,(
% 3.97/1.01 ![X0,X1,X2]: (~sum(X0,s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X1)|same(X1,s(s(s(s(s(s(n0)))))))|~sum(s(s(s(n0))),s(n0),X2)|~sQ230_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f1999,f24])).
% 3.97/1.01 fof(f2041,definition,(
% 3.97/1.01 ![X0]: (sQ248_spl <=> (~sum(X0,s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f2042,plain,(
% 3.97/1.01 ![X0]: (~sum(X0,s(s(s(n0))),s(s(s(s(s(s(s(n0))))))))|same(X0,s(s(s(s(s(s(n0)))))))|~sQ248_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f2041])).
% 3.97/1.01 fof(f2044,definition,(
% 3.97/1.01 ![X1]: (sQ249_spl <=> (~sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X1)|same(X1,s(s(s(s(s(s(n0)))))))))),
% 3.97/1.01 introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition])).
% 3.97/1.01 fof(f2045,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))),X0)|same(X0,s(s(s(s(s(s(n0)))))))|~sQ249_spl)),
% 3.97/1.01 inference(component_clause,[status(thm)],[f2044])).
% 3.97/1.01 fof(f2047,plain,(
% 3.97/1.01 sQ248_spl|sQ249_spl|sQ227_spl|~sQ230_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f2040,f2041,f2044,f1801,f1831])).
% 3.97/1.01 fof(f2048,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(n0)))))))|~sum(X0,s(s(n0)),s(s(s(s(s(s(n0)))))))|~sQ248_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f2042,f25])).
% 3.97/1.01 fof(f2049,plain,(
% 3.97/1.01 ![X0]: (same(X0,s(s(s(s(s(s(n0)))))))|~sum(X0,s(n0),s(s(s(s(s(n0))))))|~sQ248_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f2048,f25])).
% 3.97/1.01 fof(f2050,plain,(
% 3.97/1.01 sQ12_spl|~sQ248_spl),
% 3.97/1.01 inference(split_clause,[status(thm)],[f2049,f157,f2041])).
% 3.97/1.01 fof(f2051,plain,(
% 3.97/1.01 ![X0]: (same(s(X0),s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(s(n0)),X0)|~sQ249_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f2045,f25])).
% 3.97/1.01 fof(f2060,plain,(
% 3.97/1.01 ![X0]: (same(s(s(X0)),s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(n0))))))),s(n0),X0)|~sQ249_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f2051,f25])).
% 3.97/1.01 fof(f2061,plain,(
% 3.97/1.01 ![X0]: (same(s(s(s(X0))),s(s(s(s(s(s(n0)))))))|~sum(s(s(s(s(s(s(s(n0))))))),n0,X0)|~sQ249_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f2060,f25])).
% 3.97/1.01 fof(f2062,plain,(
% 3.97/1.01 ![X0]: (~sum(s(s(s(s(s(s(s(n0))))))),n0,X0)|same(s(s(X0)),s(s(s(s(s(n0))))))|~sQ249_spl)),
% 3.97/1.01 inference(resolution,[status(thm)],[f2061,f31])).
% 3.97/1.01 fof(f2063,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(n0))))))|~sQ249_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f2062,f24])).
% 3.97/1.01 fof(f2064,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0)))))|~sQ249_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f2063,f31])).
% 3.97/1.01 fof(f2065,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(s(n0))))))),s(s(s(n0))))|~sQ249_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f2064,f31])).
% 3.97/1.01 fof(f2082,plain,(
% 3.97/1.01 same(s(s(s(s(s(s(n0)))))),s(s(n0)))|~sQ249_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f2065,f31])).
% 3.97/1.01 fof(f2083,plain,(
% 3.97/1.01 same(s(s(s(s(s(n0))))),s(n0))|~sQ249_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f2082,f31])).
% 3.97/1.01 fof(f2084,plain,(
% 3.97/1.01 same(s(s(s(s(n0)))),n0)|~sQ249_spl),
% 3.97/1.01 inference(resolution,[status(thm)],[f2083,f31])).
% 3.97/1.01 fof(f2085,plain,(
% 3.97/1.01 $false|~sQ249_spl),
% 3.97/1.01 inference(forward_subsumption_resolution,[status(thm)],[f2084,f29])).
% 3.97/1.01 fof(f2086,plain,(
% 3.97/1.01 ~sQ249_spl),
% 3.97/1.01 inference(contradiction_clause,[status(thm)],[f2085])).
% 3.97/1.01 fof(f2087,plain,(
% 3.97/1.01 $false),
% 3.97/1.01 inference(sat_refutation,[status(thm)],[f59,f69,f76,f91,f99,f124,f219,f222,f266,f284,f315,f383,f427,f465,f569,f616,f700,f752,f763,f966,f985,f1103,f1228,f1241,f1268,f1302,f1314,f1735,f1754,f1773,f1807,f1834,f2047,f2050,f2086])).
% 3.97/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 2.82/1.03 % Elapsed time: 0.651458 seconds
% 2.82/1.03 % CPU time: 4.898549 seconds
% 2.82/1.03 % Total memory used: 77.543 MB
% 2.82/1.03 % Net memory used: 69.420 MB
%------------------------------------------------------------------------------