%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA018-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:58:41 PM UTC 2026
% Result : Unsatisfiable 0.23s 5.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA018-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.46 % Computer : n017.cluster.edu
% 0.16/5.46 % Model : x86_64 x86_64
% 0.16/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.46 % Memory : 8046.5625MB
% 0.16/5.46 % OS : Linux 6.8.0-71-generic
% 0.16/5.46 % CPULimit : 300
% 0.16/5.46 % WCLimit : 300
% 0.16/5.46 % DateTime : Mon Sep 21 03:27:47 UTC 2026
% 0.16/5.46 % CPUTime :
% 0.16/5.47 % Drodi V4.1.1
% 0.23/5.81 % Refutation found
% 0.23/5.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.81 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.81 fof(f1,axiom,(
% 0.23/5.81 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f2,axiom,(
% 0.23/5.81 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f3,axiom,(
% 0.23/5.81 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f4,axiom,(
% 0.23/5.81 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f5,axiom,(
% 0.23/5.81 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f6,axiom,(
% 0.23/5.81 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f7,axiom,(
% 0.23/5.81 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f8,axiom,(
% 0.23/5.81 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f9,axiom,(
% 0.23/5.81 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f10,axiom,(
% 0.23/5.81 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f11,axiom,(
% 0.23/5.81 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f12,axiom,(
% 0.23/5.81 differ(a,b) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f13,axiom,(
% 0.23/5.81 differ(a,c) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f14,axiom,(
% 0.23/5.81 differ(a,d) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f15,axiom,(
% 0.23/5.81 differ(a,table) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f16,axiom,(
% 0.23/5.81 differ(b,c) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f17,axiom,(
% 0.23/5.81 differ(b,d) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f18,axiom,(
% 0.23/5.81 differ(b,table) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f19,axiom,(
% 0.23/5.81 differ(c,d) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f20,axiom,(
% 0.23/5.81 differ(c,table) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f21,axiom,(
% 0.23/5.81 differ(d,table) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f24,axiom,(
% 0.23/5.81 holds(on(c,d),s0) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f26,axiom,(
% 0.23/5.81 holds(clear(a),s0) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f27,axiom,(
% 0.23/5.81 holds(clear(b),s0) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f28,axiom,(
% 0.23/5.81 holds(clear(c),s0) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f29,axiom,(
% 0.23/5.81 holds(empty,s0) ),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f30,axiom,(
% 0.23/5.81 (![State]: (holds(clear(table),State) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f31,negated_conjecture,(
% 0.23/5.81 (![State]: (~ holds(and(on(a,b),on(d,c)),State) ))),
% 0.23/5.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.81 fof(f32,plain,(
% 0.23/5.81 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f1])).
% 0.23/5.81 fof(f33,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f32])).
% 0.23/5.81 fof(f34,plain,(
% 0.23/5.81 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f2])).
% 0.23/5.81 fof(f35,plain,(
% 0.23/5.81 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f34])).
% 0.23/5.81 fof(f36,plain,(
% 0.23/5.81 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f3])).
% 0.23/5.81 fof(f37,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f36])).
% 0.23/5.81 fof(f38,plain,(
% 0.23/5.81 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f4])).
% 0.23/5.81 fof(f39,plain,(
% 0.23/5.81 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f38])).
% 0.23/5.81 fof(f40,plain,(
% 0.23/5.81 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f5])).
% 0.23/5.81 fof(f41,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f40])).
% 0.23/5.81 fof(f42,plain,(
% 0.23/5.81 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f6])).
% 0.23/5.81 fof(f43,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f42])).
% 0.23/5.81 fof(f44,plain,(
% 0.23/5.81 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f7])).
% 0.23/5.81 fof(f45,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f44])).
% 0.23/5.81 fof(f46,plain,(
% 0.23/5.81 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f8])).
% 0.23/5.81 fof(f47,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f46])).
% 0.23/5.81 fof(f48,plain,(
% 0.23/5.81 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f9])).
% 0.23/5.81 fof(f49,plain,(
% 0.23/5.81 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f48])).
% 0.23/5.81 fof(f50,plain,(
% 0.23/5.81 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.23/5.81 inference(miniscoping,[status(thm)],[f10])).
% 0.23/5.81 fof(f51,plain,(
% 0.23/5.81 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f50])).
% 0.23/5.81 fof(f52,plain,(
% 0.23/5.81 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f11])).
% 0.23/5.81 fof(f53,plain,(
% 0.23/5.81 differ(a,b)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f12])).
% 0.23/5.81 fof(f54,plain,(
% 0.23/5.81 differ(a,c)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f13])).
% 0.23/5.81 fof(f55,plain,(
% 0.23/5.81 differ(a,d)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f14])).
% 0.23/5.81 fof(f56,plain,(
% 0.23/5.81 differ(a,table)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f15])).
% 0.23/5.81 fof(f57,plain,(
% 0.23/5.81 differ(b,c)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f16])).
% 0.23/5.81 fof(f58,plain,(
% 0.23/5.81 differ(b,d)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f17])).
% 0.23/5.81 fof(f59,plain,(
% 0.23/5.81 differ(b,table)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f18])).
% 0.23/5.81 fof(f60,plain,(
% 0.23/5.81 differ(c,d)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f19])).
% 0.23/5.81 fof(f61,plain,(
% 0.23/5.81 differ(c,table)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f20])).
% 0.23/5.81 fof(f62,plain,(
% 0.23/5.81 differ(d,table)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f21])).
% 0.23/5.81 fof(f65,plain,(
% 0.23/5.81 holds(on(c,d),s0)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f24])).
% 0.23/5.81 fof(f67,plain,(
% 0.23/5.81 holds(clear(a),s0)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f26])).
% 0.23/5.81 fof(f68,plain,(
% 0.23/5.81 holds(clear(b),s0)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f27])).
% 0.23/5.81 fof(f69,plain,(
% 0.23/5.81 holds(clear(c),s0)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f28])).
% 0.23/5.81 fof(f70,plain,(
% 0.23/5.81 holds(empty,s0)),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f29])).
% 0.23/5.81 fof(f71,plain,(
% 0.23/5.81 ![X0]: (holds(clear(table),X0))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f30])).
% 0.23/5.81 fof(f72,plain,(
% 0.23/5.81 ![X0]: (~holds(and(on(a,b),on(d,c)),X0))),
% 0.23/5.81 inference(cnf_transformation,[status(thm)],[f31])).
% 0.23/5.81 fof(f73,plain,(
% 0.23/5.81 ![X0]: (~holds(on(a,b),X0)|~holds(on(d,c),X0))),
% 0.23/5.81 inference(resolution,[status(thm)],[f72,f33])).
% 0.23/5.81 fof(f75,plain,(
% 0.23/5.81 ![X0,X1,X2]: (~holds(on(d,c),X0)|~holds(on(a,b),do(putdown(X1,X2),X0)))),
% 0.23/5.81 inference(resolution,[status(thm)],[f49,f73])).
% 0.23/5.81 fof(f77,plain,(
% 0.23/5.81 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X1),do(pickup(X0),X2))|~holds(empty,X2)|~holds(clear(X0),X2)|~differ(X0,table))),
% 0.23/5.81 inference(resolution,[status(thm)],[f45,f35])).
% 0.23/5.81 fof(f86,plain,(
% 0.23/5.81 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~differ(a,table)|~holds(on(d,c),do(pickup(a),X0)))),
% 0.23/5.81 inference(resolution,[status(thm)],[f77,f75])).
% 0.23/5.81 fof(f88,definition,(
% 0.23/5.81 ![X0]: (sQ2_spl <=> (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),do(pickup(a),X0))))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f89,plain,(
% 0.23/5.81 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),do(pickup(a),X0))|~sQ2_spl)),
% 0.23/5.81 inference(component_clause,[status(thm)],[f88])).
% 0.23/5.81 fof(f91,definition,(
% 0.23/5.81 sQ3_spl <=> (differ(a,table))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f93,plain,(
% 0.23/5.81 ~differ(a,table)|sQ3_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f91])).
% 0.23/5.81 fof(f94,plain,(
% 0.23/5.81 sQ2_spl|~sQ3_spl),
% 0.23/5.81 inference(split_clause,[status(thm)],[f86,f88,f91])).
% 0.23/5.81 fof(f98,definition,(
% 0.23/5.81 sQ5_spl <=> (differ(d,table))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f100,plain,(
% 0.23/5.81 ~differ(d,table)|sQ5_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f98])).
% 0.23/5.81 fof(f103,plain,(
% 0.23/5.81 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),X0)|~differ(d,a)|~sQ2_spl)),
% 0.23/5.81 inference(resolution,[status(thm)],[f89,f39])).
% 0.23/5.81 fof(f104,definition,(
% 0.23/5.81 ![X0]: (sQ6_spl <=> (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),X0)))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f105,plain,(
% 0.23/5.81 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),X0)|~sQ6_spl)),
% 0.23/5.81 inference(component_clause,[status(thm)],[f104])).
% 0.23/5.81 fof(f107,definition,(
% 0.23/5.81 sQ7_spl <=> (differ(d,a))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f109,plain,(
% 0.23/5.81 ~differ(d,a)|sQ7_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f107])).
% 0.23/5.81 fof(f110,plain,(
% 0.23/5.81 sQ6_spl|~sQ7_spl|~sQ2_spl),
% 0.23/5.81 inference(split_clause,[status(thm)],[f103,f104,f107,f88])).
% 0.23/5.81 fof(f111,plain,(
% 0.23/5.81 $false|sQ3_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f93,f56])).
% 0.23/5.81 fof(f112,plain,(
% 0.23/5.81 sQ3_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f111])).
% 0.23/5.81 fof(f113,plain,(
% 0.23/5.81 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),X0)|~holds(clear(b),X0)|~differ(b,a)|~sQ6_spl)),
% 0.23/5.81 inference(resolution,[status(thm)],[f105,f41])).
% 0.23/5.81 fof(f115,definition,(
% 0.23/5.81 ![X0]: (sQ8_spl <=> (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),X0)|~holds(clear(b),X0)))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f116,plain,(
% 0.23/5.81 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(d,c),X0)|~holds(clear(b),X0)|~sQ8_spl)),
% 0.23/5.81 inference(component_clause,[status(thm)],[f115])).
% 0.23/5.81 fof(f118,definition,(
% 0.23/5.81 sQ9_spl <=> (differ(b,a))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f120,plain,(
% 0.23/5.81 ~differ(b,a)|sQ9_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f118])).
% 0.23/5.81 fof(f121,plain,(
% 0.23/5.81 sQ8_spl|~sQ9_spl|~sQ6_spl),
% 0.23/5.81 inference(split_clause,[status(thm)],[f113,f115,f118,f104])).
% 0.23/5.81 fof(f123,plain,(
% 0.23/5.81 ~differ(a,d)|sQ7_spl),
% 0.23/5.81 inference(resolution,[status(thm)],[f109,f52])).
% 0.23/5.81 fof(f124,plain,(
% 0.23/5.81 $false|sQ7_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f123,f55])).
% 0.23/5.81 fof(f125,plain,(
% 0.23/5.81 sQ7_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f124])).
% 0.23/5.81 fof(f126,plain,(
% 0.23/5.81 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),X2))|~holds(on(d,c),do(putdown(X0,X1),X2))|~holds(clear(b),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ8_spl)),
% 0.23/5.81 inference(resolution,[status(thm)],[f116,f43])).
% 0.23/5.81 fof(f128,definition,(
% 0.23/5.81 sQ10_spl <=> (holds(clear(a),s0))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f130,plain,(
% 0.23/5.81 ~holds(clear(a),s0)|sQ10_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f128])).
% 0.23/5.81 fof(f134,definition,(
% 0.23/5.81 sQ12_spl <=> (holds(clear(b),s0))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f136,plain,(
% 0.23/5.81 ~holds(clear(b),s0)|sQ12_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f134])).
% 0.23/5.81 fof(f138,plain,(
% 0.23/5.81 $false|sQ12_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f136,f68])).
% 0.23/5.81 fof(f139,plain,(
% 0.23/5.81 sQ12_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f138])).
% 0.23/5.81 fof(f144,definition,(
% 0.23/5.81 sQ14_spl <=> (differ(a,d))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f146,plain,(
% 0.23/5.81 ~differ(a,d)|sQ14_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f144])).
% 0.23/5.81 fof(f148,plain,(
% 0.23/5.81 $false|sQ5_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f100,f62])).
% 0.23/5.81 fof(f149,plain,(
% 0.23/5.81 sQ5_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f148])).
% 0.23/5.81 fof(f150,plain,(
% 0.23/5.81 $false|sQ14_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f146,f55])).
% 0.23/5.81 fof(f151,plain,(
% 0.23/5.81 sQ14_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f150])).
% 0.23/5.81 fof(f152,plain,(
% 0.23/5.81 ~differ(a,b)|sQ9_spl),
% 0.23/5.81 inference(resolution,[status(thm)],[f120,f52])).
% 0.23/5.81 fof(f153,plain,(
% 0.23/5.81 $false|sQ9_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f152,f53])).
% 0.23/5.81 fof(f154,plain,(
% 0.23/5.81 sQ9_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f153])).
% 0.23/5.81 fof(f155,plain,(
% 0.23/5.81 $false|sQ10_spl),
% 0.23/5.81 inference(forward_subsumption_resolution,[status(thm)],[f130,f67])).
% 0.23/5.81 fof(f156,plain,(
% 0.23/5.81 sQ10_spl),
% 0.23/5.81 inference(contradiction_clause,[status(thm)],[f155])).
% 0.23/5.81 fof(f170,definition,(
% 0.23/5.81 sQ16_spl <=> (differ(c,d))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.23/5.81 fof(f172,plain,(
% 0.23/5.81 ~differ(c,d)|sQ16_spl),
% 0.23/5.81 inference(component_clause,[status(thm)],[f170])).
% 0.23/5.81 fof(f183,definition,(
% 0.23/5.81 sQ19_spl <=> (holds(clear(c),s0))),
% 0.23/5.81 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f185,plain,(
% 0.23/5.82 ~holds(clear(c),s0)|sQ19_spl),
% 0.23/5.82 inference(component_clause,[status(thm)],[f183])).
% 0.23/5.82 fof(f187,plain,(
% 0.23/5.82 $false|sQ16_spl),
% 0.23/5.82 inference(forward_subsumption_resolution,[status(thm)],[f172,f60])).
% 0.23/5.82 fof(f188,plain,(
% 0.23/5.82 sQ16_spl),
% 0.23/5.82 inference(contradiction_clause,[status(thm)],[f187])).
% 0.23/5.82 fof(f189,plain,(
% 0.23/5.82 $false|sQ19_spl),
% 0.23/5.82 inference(forward_subsumption_resolution,[status(thm)],[f185,f69])).
% 0.23/5.82 fof(f190,plain,(
% 0.23/5.82 sQ19_spl),
% 0.23/5.82 inference(contradiction_clause,[status(thm)],[f189])).
% 0.23/5.82 fof(f198,plain,(
% 0.23/5.82 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(d,c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X1),do(pickup(X0),X2))|~holds(empty,X2)|~holds(clear(X0),X2)|~differ(X0,table)|~sQ8_spl)),
% 0.23/5.82 inference(resolution,[status(thm)],[f126,f35])).
% 0.23/5.82 fof(f200,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~differ(d,table)|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~differ(d,table)|~sQ8_spl)),
% 0.23/5.82 inference(resolution,[status(thm)],[f198,f77])).
% 0.23/5.82 fof(f204,definition,(
% 0.23/5.82 ![X0]: (sQ20_spl <=> (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f205,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~sQ20_spl)),
% 0.23/5.82 inference(component_clause,[status(thm)],[f204])).
% 0.23/5.82 fof(f207,plain,(
% 0.23/5.82 sQ20_spl|~sQ5_spl|~sQ8_spl),
% 0.23/5.82 inference(split_clause,[status(thm)],[f200,f204,f98,f115])).
% 0.23/5.82 fof(f211,definition,(
% 0.23/5.82 sQ22_spl <=> (differ(b,table))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f213,plain,(
% 0.23/5.82 ~differ(b,table)|sQ22_spl),
% 0.23/5.82 inference(component_clause,[status(thm)],[f211])).
% 0.23/5.82 fof(f215,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~sQ20_spl)),
% 0.23/5.82 inference(duplicate_literals_removal,[status(thm)],[f205])).
% 0.23/5.82 fof(f217,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~differ(b,c)|~sQ20_spl)),
% 0.23/5.82 inference(resolution,[status(thm)],[f215,f51])).
% 0.23/5.82 fof(f218,definition,(
% 0.23/5.82 ![X0]: (sQ23_spl <=> (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f219,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))|~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~sQ23_spl)),
% 0.23/5.82 inference(component_clause,[status(thm)],[f218])).
% 0.23/5.82 fof(f221,definition,(
% 0.23/5.82 sQ24_spl <=> (differ(b,c))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f223,plain,(
% 0.23/5.82 ~differ(b,c)|sQ24_spl),
% 0.23/5.82 inference(component_clause,[status(thm)],[f221])).
% 0.23/5.82 fof(f224,plain,(
% 0.23/5.82 sQ23_spl|~sQ24_spl|~sQ20_spl),
% 0.23/5.82 inference(split_clause,[status(thm)],[f217,f218,f221,f204])).
% 0.23/5.82 fof(f225,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~holds(clear(a),do(pickup(d),X0))|~differ(a,c)|~sQ23_spl)),
% 0.23/5.82 inference(resolution,[status(thm)],[f219,f51])).
% 0.23/5.82 fof(f226,definition,(
% 0.23/5.82 ![X0]: (sQ25_spl <=> (~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~holds(clear(a),do(pickup(d),X0))))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f227,plain,(
% 0.23/5.82 ![X0]: (~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~holds(clear(a),do(pickup(d),X0))|~sQ25_spl)),
% 0.23/5.82 inference(component_clause,[status(thm)],[f226])).
% 0.23/5.82 fof(f229,definition,(
% 0.23/5.82 sQ26_spl <=> (differ(a,c))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f231,plain,(
% 0.23/5.82 ~differ(a,c)|sQ26_spl),
% 0.23/5.82 inference(component_clause,[status(thm)],[f229])).
% 0.23/5.82 fof(f232,plain,(
% 0.23/5.82 sQ25_spl|~sQ26_spl|~sQ23_spl),
% 0.23/5.82 inference(split_clause,[status(thm)],[f225,f226,f229,f218])).
% 0.23/5.82 fof(f233,plain,(
% 0.23/5.82 $false|sQ24_spl),
% 0.23/5.82 inference(forward_subsumption_resolution,[status(thm)],[f223,f57])).
% 0.23/5.82 fof(f234,plain,(
% 0.23/5.82 sQ24_spl),
% 0.23/5.82 inference(contradiction_clause,[status(thm)],[f233])).
% 0.23/5.82 fof(f235,plain,(
% 0.23/5.82 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~holds(clear(a),do(pickup(d),X0))|~holds(clear(c),X0)|~differ(c,d)|~sQ25_spl)),
% 0.23/5.82 inference(resolution,[status(thm)],[f227,f41])).
% 0.23/5.82 fof(f237,definition,(
% 0.23/5.82 ![X0]: (sQ27_spl <=> (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~holds(clear(a),do(pickup(d),X0))|~holds(clear(c),X0)))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f238,plain,(
% 0.23/5.82 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(b),do(pickup(d),X0))|~holds(clear(a),do(pickup(d),X0))|~holds(clear(c),X0)|~sQ27_spl)),
% 0.23/5.82 inference(component_clause,[status(thm)],[f237])).
% 0.23/5.82 fof(f240,plain,(
% 0.23/5.82 sQ27_spl|~sQ16_spl|~sQ25_spl),
% 0.23/5.82 inference(split_clause,[status(thm)],[f235,f237,f170,f226])).
% 0.23/5.82 fof(f242,plain,(
% 0.23/5.82 $false|sQ26_spl),
% 0.23/5.82 inference(forward_subsumption_resolution,[status(thm)],[f231,f54])).
% 0.23/5.82 fof(f243,plain,(
% 0.23/5.82 sQ26_spl),
% 0.23/5.82 inference(contradiction_clause,[status(thm)],[f242])).
% 0.23/5.82 fof(f244,plain,(
% 0.23/5.82 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(a),do(pickup(d),X0))|~holds(clear(c),X0)|~holds(clear(b),X0)|~differ(b,d)|~sQ27_spl)),
% 0.23/5.82 inference(resolution,[status(thm)],[f238,f41])).
% 0.23/5.82 fof(f246,definition,(
% 0.23/5.82 ![X0]: (sQ28_spl <=> (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(a),do(pickup(d),X0))|~holds(clear(c),X0)|~holds(clear(b),X0)))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f247,plain,(
% 0.23/5.82 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(a),do(pickup(d),X0))|~holds(clear(c),X0)|~holds(clear(b),X0)|~sQ28_spl)),
% 0.23/5.82 inference(component_clause,[status(thm)],[f246])).
% 0.23/5.82 fof(f249,definition,(
% 0.23/5.82 sQ29_spl <=> (differ(b,d))),
% 0.23/5.82 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.23/5.82 fof(f251,plain,(
% 0.23/5.82 ~differ(b,d)|sQ29_spl),
% 0.23/5.82 inference(component_clause,[status(thm)],[f249])).
% 0.23/5.82 fof(f252,plain,(
% 0.23/5.82 sQ28_spl|~sQ29_spl|~sQ27_spl),
% 0.23/5.82 inference(split_clause,[status(thm)],[f244,f246,f249,f237])).
% 0.23/5.82 fof(f254,plain,(
% 0.23/5.82 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(c),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)|~differ(a,d)|~sQ28_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f247,f41])).
% 0.23/5.83 fof(f256,definition,(
% 0.23/5.83 ![X0]: (sQ30_spl <=> (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(c),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f257,plain,(
% 0.23/5.83 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(clear(c),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)|~sQ30_spl)),
% 0.23/5.83 inference(component_clause,[status(thm)],[f256])).
% 0.23/5.83 fof(f259,plain,(
% 0.23/5.83 sQ30_spl|~sQ14_spl|~sQ28_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f254,f256,f144,f246])).
% 0.23/5.83 fof(f261,plain,(
% 0.23/5.83 $false|sQ29_spl),
% 0.23/5.83 inference(forward_subsumption_resolution,[status(thm)],[f251,f58])).
% 0.23/5.83 fof(f262,plain,(
% 0.23/5.83 sQ29_spl),
% 0.23/5.83 inference(contradiction_clause,[status(thm)],[f261])).
% 0.23/5.83 fof(f270,plain,(
% 0.23/5.83 ![X0,X1,X2]: (~holds(clear(d),do(putdown(X0,X1),X2))|~holds(clear(c),do(putdown(X0,X1),X2))|~holds(clear(b),do(putdown(X0,X1),X2))|~holds(clear(a),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ30_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f257,f43])).
% 0.23/5.83 fof(f339,plain,(
% 0.23/5.83 ![X0,X1,X2]: (~holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X1),do(pickup(X0),X2))|~holds(empty,X2)|~holds(clear(X0),X2)|~differ(X0,table)|~sQ30_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f270,f35])).
% 0.23/5.83 fof(f345,plain,(
% 0.23/5.83 $false|sQ22_spl),
% 0.23/5.83 inference(forward_subsumption_resolution,[status(thm)],[f213,f59])).
% 0.23/5.83 fof(f346,plain,(
% 0.23/5.83 sQ22_spl),
% 0.23/5.83 inference(contradiction_clause,[status(thm)],[f345])).
% 0.23/5.83 fof(f596,definition,(
% 0.23/5.83 sQ71_spl <=> (differ(c,table))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f598,plain,(
% 0.23/5.83 ~differ(c,table)|sQ71_spl),
% 0.23/5.83 inference(component_clause,[status(thm)],[f596])).
% 0.23/5.83 fof(f606,plain,(
% 0.23/5.83 $false|sQ71_spl),
% 0.23/5.83 inference(forward_subsumption_resolution,[status(thm)],[f598,f61])).
% 0.23/5.83 fof(f607,plain,(
% 0.23/5.83 sQ71_spl),
% 0.23/5.83 inference(contradiction_clause,[status(thm)],[f606])).
% 0.23/5.83 fof(f614,definition,(
% 0.23/5.83 sQ74_spl <=> (holds(on(c,d),s0))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f616,plain,(
% 0.23/5.83 ~holds(on(c,d),s0)|sQ74_spl),
% 0.23/5.83 inference(component_clause,[status(thm)],[f614])).
% 0.23/5.83 fof(f671,plain,(
% 0.23/5.83 ![X0,X1,X2]: (~holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X1),do(pickup(X0),X2))|~holds(empty,X2)|~holds(clear(X0),X2)|~differ(X0,table)|~holds(clear(d),do(pickup(X0),X2))|~differ(d,X1)|~sQ30_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f339,f51])).
% 0.23/5.83 fof(f688,plain,(
% 0.23/5.83 ![X0,X1,X2]: (~holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X1),do(pickup(X0),X2))|~holds(empty,X2)|~holds(clear(X0),X2)|~differ(X0,table)|~differ(d,X1)|~holds(on(X0,d),X2)|~holds(clear(X0),X2)|~holds(empty,X2)|~sQ30_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f671,f37])).
% 0.23/5.83 fof(f689,plain,(
% 0.23/5.83 ![X0,X1,X2]: (~holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X1),do(pickup(X0),X2))|~holds(empty,X2)|~holds(clear(X0),X2)|~differ(X0,table)|~differ(d,X1)|~holds(on(X0,d),X2)|~sQ30_spl)),
% 0.23/5.83 inference(duplicate_literals_removal,[status(thm)],[f688])).
% 0.23/5.83 fof(f690,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(c,table)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(holding(c),do(pickup(c),X1))|~holds(clear(X0),do(pickup(c),X1))|~sQ30_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f689,f47])).
% 0.23/5.83 fof(f692,definition,(
% 0.23/5.83 ![X0,X1]: (sQ84_spl <=> (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(holding(c),do(pickup(c),X1))|~holds(clear(X0),do(pickup(c),X1))))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f693,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(holding(c),do(pickup(c),X1))|~holds(clear(X0),do(pickup(c),X1))|~sQ84_spl)),
% 0.23/5.83 inference(component_clause,[status(thm)],[f692])).
% 0.23/5.83 fof(f695,plain,(
% 0.23/5.83 sQ84_spl|~sQ71_spl|~sQ30_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f690,f692,f596,f256])).
% 0.23/5.83 fof(f696,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(holding(c),do(pickup(c),X1))|~sQ84_spl)),
% 0.23/5.83 inference(duplicate_literals_removal,[status(thm)],[f693])).
% 0.23/5.83 fof(f697,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(empty,X1)|~holds(clear(c),X1)|~differ(c,table)|~sQ84_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f696,f35])).
% 0.23/5.83 fof(f698,definition,(
% 0.23/5.83 ![X0,X1]: (sQ85_spl <=> (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(empty,X1)|~holds(clear(c),X1)))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f699,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(empty,X1)|~holds(clear(c),X1)|~sQ85_spl)),
% 0.23/5.83 inference(component_clause,[status(thm)],[f698])).
% 0.23/5.83 fof(f701,plain,(
% 0.23/5.83 sQ85_spl|~sQ71_spl|~sQ84_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f697,f698,f596,f692])).
% 0.23/5.83 fof(f702,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~sQ85_spl)),
% 0.23/5.83 inference(duplicate_literals_removal,[status(thm)],[f699])).
% 0.23/5.83 fof(f703,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(clear(b),do(pickup(c),X1))|~differ(b,X0)|~sQ85_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f702,f51])).
% 0.23/5.83 fof(f705,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~holds(clear(b),do(pickup(c),X1))|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~sQ85_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f703,f51])).
% 0.23/5.83 fof(f706,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(clear(b),X1)|~differ(b,c)|~sQ85_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f705,f41])).
% 0.23/5.83 fof(f708,definition,(
% 0.23/5.83 ![X0,X1]: (sQ86_spl <=> (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(clear(b),X1)))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f709,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(clear(b),X1)|~sQ86_spl)),
% 0.23/5.83 inference(component_clause,[status(thm)],[f708])).
% 0.23/5.83 fof(f711,plain,(
% 0.23/5.83 sQ86_spl|~sQ24_spl|~sQ85_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f706,f708,f221,f698])).
% 0.23/5.83 fof(f713,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~differ(b,X0)|~differ(a,X0)|~holds(clear(b),X1)|~holds(clear(a),X1)|~differ(a,c)|~sQ86_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f709,f41])).
% 0.23/5.83 fof(f715,definition,(
% 0.23/5.83 ![X0,X1]: (sQ87_spl <=> (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~differ(b,X0)|~differ(a,X0)|~holds(clear(b),X1)|~holds(clear(a),X1)))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f716,plain,(
% 0.23/5.83 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(on(c,d),X1)|~differ(b,X0)|~differ(a,X0)|~holds(clear(b),X1)|~holds(clear(a),X1)|~sQ87_spl)),
% 0.23/5.83 inference(component_clause,[status(thm)],[f715])).
% 0.23/5.83 fof(f718,plain,(
% 0.23/5.83 sQ87_spl|~sQ26_spl|~sQ86_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f713,f715,f229,f708])).
% 0.23/5.83 fof(f721,plain,(
% 0.23/5.83 ![X0]: (~holds(clear(X0),do(pickup(c),s0))|~holds(clear(c),s0)|~differ(d,X0)|~holds(on(c,d),s0)|~differ(b,X0)|~differ(a,X0)|~holds(clear(b),s0)|~holds(clear(a),s0)|~sQ87_spl)),
% 0.23/5.83 inference(resolution,[status(thm)],[f716,f70])).
% 0.23/5.83 fof(f722,definition,(
% 0.23/5.83 ![X0]: (sQ88_spl <=> (~holds(clear(X0),do(pickup(c),s0))|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)))),
% 0.23/5.83 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.23/5.83 fof(f723,plain,(
% 0.23/5.83 ![X0]: (~holds(clear(X0),do(pickup(c),s0))|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~sQ88_spl)),
% 0.23/5.83 inference(component_clause,[status(thm)],[f722])).
% 0.23/5.83 fof(f725,plain,(
% 0.23/5.83 sQ88_spl|~sQ19_spl|~sQ74_spl|~sQ12_spl|~sQ10_spl|~sQ87_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f721,f722,f183,f614,f134,f128,f715])).
% 0.23/5.83 fof(f726,plain,(
% 0.23/5.83 $false|sQ74_spl),
% 0.23/5.83 inference(forward_subsumption_resolution,[status(thm)],[f616,f65])).
% 0.23/5.83 fof(f727,plain,(
% 0.23/5.83 sQ74_spl),
% 0.23/5.83 inference(contradiction_clause,[status(thm)],[f726])).
% 0.23/5.83 fof(f728,plain,(
% 0.23/5.83 ~differ(d,table)|~differ(b,table)|~differ(a,table)|~sQ88_spl),
% 0.23/5.83 inference(resolution,[status(thm)],[f723,f71])).
% 0.23/5.83 fof(f731,plain,(
% 0.23/5.83 ~sQ5_spl|~sQ22_spl|~sQ3_spl|~sQ88_spl),
% 0.23/5.83 inference(split_clause,[status(thm)],[f728,f98,f211,f91,f722])).
% 0.23/5.83 fof(f739,plain,(
% 0.23/5.83 $false),
% 0.23/5.83 inference(sat_refutation,[status(thm)],[f94,f110,f112,f121,f125,f139,f149,f151,f154,f156,f188,f190,f207,f224,f232,f234,f240,f243,f252,f259,f262,f346,f607,f695,f701,f711,f718,f725,f727,f731])).
% 0.23/5.83 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.86 % Elapsed time: 0.381665 seconds
% 0.23/5.86 % CPU time: 2.661640 seconds
% 0.23/5.86 % Total memory used: 119.019 MB
% 0.23/5.86 % Net memory used: 111.748 MB
%------------------------------------------------------------------------------