%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA008-1 : 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 : n005.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 01:58:40 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:31:33 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.67 % Refutation found
% 0.12/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.67 fof(f1,axiom,(
% 0.12/0.67 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f2,axiom,(
% 0.12/0.67 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f3,axiom,(
% 0.12/0.67 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f4,axiom,(
% 0.12/0.67 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f5,axiom,(
% 0.12/0.67 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f6,axiom,(
% 0.12/0.67 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f7,axiom,(
% 0.12/0.67 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f8,axiom,(
% 0.12/0.67 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f9,axiom,(
% 0.12/0.67 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f10,axiom,(
% 0.12/0.67 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f11,axiom,(
% 0.12/0.67 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f12,axiom,(
% 0.12/0.67 differ(a,b) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f13,axiom,(
% 0.12/0.67 differ(a,c) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f14,axiom,(
% 0.12/0.67 differ(a,d) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f15,axiom,(
% 0.12/0.67 differ(a,table) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f16,axiom,(
% 0.12/0.67 differ(b,c) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f17,axiom,(
% 0.12/0.67 differ(b,d) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f18,axiom,(
% 0.12/0.67 differ(b,table) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f19,axiom,(
% 0.12/0.67 differ(c,d) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f20,axiom,(
% 0.12/0.67 differ(c,table) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f21,axiom,(
% 0.12/0.67 differ(d,table) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f24,axiom,(
% 0.12/0.67 holds(on(c,d),s0) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f26,axiom,(
% 0.12/0.67 holds(clear(a),s0) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f27,axiom,(
% 0.12/0.67 holds(clear(b),s0) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f28,axiom,(
% 0.12/0.67 holds(clear(c),s0) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f29,axiom,(
% 0.12/0.67 holds(empty,s0) ),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f30,axiom,(
% 0.12/0.67 (![State]: (holds(clear(table),State) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f31,negated_conjecture,(
% 0.12/0.67 (![State]: (~ holds(and(on(b,d),on(a,c)),State) ))),
% 0.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.67 fof(f32,plain,(
% 0.12/0.67 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.12/0.67 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.67 fof(f33,plain,(
% 0.12/0.67 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f32])).
% 1.74/0.68 fof(f34,plain,(
% 1.74/0.68 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f2])).
% 1.74/0.68 fof(f35,plain,(
% 1.74/0.68 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f34])).
% 1.74/0.68 fof(f36,plain,(
% 1.74/0.68 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f3])).
% 1.74/0.68 fof(f37,plain,(
% 1.74/0.68 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f36])).
% 1.74/0.68 fof(f38,plain,(
% 1.74/0.68 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f4])).
% 1.74/0.68 fof(f39,plain,(
% 1.74/0.68 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f38])).
% 1.74/0.68 fof(f40,plain,(
% 1.74/0.68 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f5])).
% 1.74/0.68 fof(f41,plain,(
% 1.74/0.68 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f40])).
% 1.74/0.68 fof(f42,plain,(
% 1.74/0.68 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f6])).
% 1.74/0.68 fof(f43,plain,(
% 1.74/0.68 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f42])).
% 1.74/0.68 fof(f44,plain,(
% 1.74/0.68 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f7])).
% 1.74/0.68 fof(f45,plain,(
% 1.74/0.68 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f44])).
% 1.74/0.68 fof(f46,plain,(
% 1.74/0.68 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f8])).
% 1.74/0.68 fof(f47,plain,(
% 1.74/0.68 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f46])).
% 1.74/0.68 fof(f48,plain,(
% 1.74/0.68 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f9])).
% 1.74/0.68 fof(f49,plain,(
% 1.74/0.68 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f48])).
% 1.74/0.68 fof(f50,plain,(
% 1.74/0.68 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 1.74/0.68 inference(miniscoping,[status(thm)],[f10])).
% 1.74/0.68 fof(f51,plain,(
% 1.74/0.68 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f50])).
% 1.74/0.68 fof(f52,plain,(
% 1.74/0.68 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f11])).
% 1.74/0.68 fof(f53,plain,(
% 1.74/0.68 differ(a,b)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f12])).
% 1.74/0.68 fof(f54,plain,(
% 1.74/0.68 differ(a,c)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f13])).
% 1.74/0.68 fof(f55,plain,(
% 1.74/0.68 differ(a,d)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f14])).
% 1.74/0.68 fof(f56,plain,(
% 1.74/0.68 differ(a,table)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f15])).
% 1.74/0.68 fof(f57,plain,(
% 1.74/0.68 differ(b,c)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f16])).
% 1.74/0.68 fof(f58,plain,(
% 1.74/0.68 differ(b,d)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f17])).
% 1.74/0.68 fof(f59,plain,(
% 1.74/0.68 differ(b,table)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f18])).
% 1.74/0.68 fof(f60,plain,(
% 1.74/0.68 differ(c,d)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f19])).
% 1.74/0.68 fof(f61,plain,(
% 1.74/0.68 differ(c,table)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f20])).
% 1.74/0.68 fof(f62,plain,(
% 1.74/0.68 differ(d,table)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f21])).
% 1.74/0.68 fof(f65,plain,(
% 1.74/0.68 holds(on(c,d),s0)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f24])).
% 1.74/0.68 fof(f67,plain,(
% 1.74/0.68 holds(clear(a),s0)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f26])).
% 1.74/0.68 fof(f68,plain,(
% 1.74/0.68 holds(clear(b),s0)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f27])).
% 1.74/0.68 fof(f69,plain,(
% 1.74/0.68 holds(clear(c),s0)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f28])).
% 1.74/0.68 fof(f70,plain,(
% 1.74/0.68 holds(empty,s0)),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f29])).
% 1.74/0.68 fof(f71,plain,(
% 1.74/0.68 ![X0]: (holds(clear(table),X0))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f30])).
% 1.74/0.68 fof(f72,plain,(
% 1.74/0.68 ![X0]: (~holds(and(on(b,d),on(a,c)),X0))),
% 1.74/0.68 inference(cnf_transformation,[status(thm)],[f31])).
% 1.74/0.68 fof(f73,plain,(
% 1.74/0.68 ![X0]: (~holds(on(b,d),X0)|~holds(on(a,c),X0))),
% 1.74/0.68 inference(resolution,[status(thm)],[f72,f33])).
% 1.74/0.68 fof(f75,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(on(b,d),X0)|~holds(on(a,c),do(putdown(X1,X2),X0)))),
% 1.74/0.68 inference(resolution,[status(thm)],[f49,f73])).
% 1.74/0.68 fof(f77,plain,(
% 1.74/0.68 ![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))),
% 1.74/0.68 inference(resolution,[status(thm)],[f45,f35])).
% 1.74/0.68 fof(f86,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~differ(a,table)|~holds(on(b,d),do(pickup(a),X0)))),
% 1.74/0.68 inference(resolution,[status(thm)],[f77,f75])).
% 1.74/0.68 fof(f88,definition,(
% 1.74/0.68 ![X0]: (sQ2_spl <=> (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),do(pickup(a),X0))))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f89,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),do(pickup(a),X0))|~sQ2_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f88])).
% 1.74/0.68 fof(f91,definition,(
% 1.74/0.68 sQ3_spl <=> (differ(a,table))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f93,plain,(
% 1.74/0.68 ~differ(a,table)|sQ3_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f91])).
% 1.74/0.68 fof(f94,plain,(
% 1.74/0.68 sQ2_spl|~sQ3_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f86,f88,f91])).
% 1.74/0.68 fof(f98,definition,(
% 1.74/0.68 sQ5_spl <=> (differ(b,table))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f100,plain,(
% 1.74/0.68 ~differ(b,table)|sQ5_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f98])).
% 1.74/0.68 fof(f102,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),X0)|~differ(b,a)|~sQ2_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f89,f39])).
% 1.74/0.68 fof(f103,definition,(
% 1.74/0.68 ![X0]: (sQ6_spl <=> (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),X0)))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f104,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),X0)|~sQ6_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f103])).
% 1.74/0.68 fof(f106,definition,(
% 1.74/0.68 sQ7_spl <=> (differ(b,a))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f108,plain,(
% 1.74/0.68 ~differ(b,a)|sQ7_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f106])).
% 1.74/0.68 fof(f109,plain,(
% 1.74/0.68 sQ6_spl|~sQ7_spl|~sQ2_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f102,f103,f106,f88])).
% 1.74/0.68 fof(f110,plain,(
% 1.74/0.68 $false|sQ3_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f93,f56])).
% 1.74/0.68 fof(f111,plain,(
% 1.74/0.68 sQ3_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f110])).
% 1.74/0.68 fof(f112,plain,(
% 1.74/0.68 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),X0)|~holds(clear(c),X0)|~differ(c,a)|~sQ6_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f104,f41])).
% 1.74/0.68 fof(f114,definition,(
% 1.74/0.68 ![X0]: (sQ8_spl <=> (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),X0)|~holds(clear(c),X0)))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f115,plain,(
% 1.74/0.68 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,d),X0)|~holds(clear(c),X0)|~sQ8_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f114])).
% 1.74/0.68 fof(f117,definition,(
% 1.74/0.68 sQ9_spl <=> (differ(c,a))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f119,plain,(
% 1.74/0.68 ~differ(c,a)|sQ9_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f117])).
% 1.74/0.68 fof(f120,plain,(
% 1.74/0.68 sQ8_spl|~sQ9_spl|~sQ6_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f112,f114,f117,f103])).
% 1.74/0.68 fof(f122,plain,(
% 1.74/0.68 ~differ(a,b)|sQ7_spl),
% 1.74/0.68 inference(resolution,[status(thm)],[f108,f52])).
% 1.74/0.68 fof(f123,plain,(
% 1.74/0.68 $false|sQ7_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f122,f53])).
% 1.74/0.68 fof(f124,plain,(
% 1.74/0.68 sQ7_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f123])).
% 1.74/0.68 fof(f126,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),X2))|~holds(on(b,d),do(putdown(X0,X1),X2))|~holds(clear(c),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ8_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f115,f43])).
% 1.74/0.68 fof(f128,definition,(
% 1.74/0.68 sQ10_spl <=> (holds(clear(a),s0))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f130,plain,(
% 1.74/0.68 ~holds(clear(a),s0)|sQ10_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f128])).
% 1.74/0.68 fof(f134,definition,(
% 1.74/0.68 sQ12_spl <=> (holds(clear(c),s0))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f136,plain,(
% 1.74/0.68 ~holds(clear(c),s0)|sQ12_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f134])).
% 1.74/0.68 fof(f138,plain,(
% 1.74/0.68 $false|sQ12_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f136,f69])).
% 1.74/0.68 fof(f139,plain,(
% 1.74/0.68 sQ12_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f138])).
% 1.74/0.68 fof(f140,plain,(
% 1.74/0.68 ~differ(a,c)|sQ9_spl),
% 1.74/0.68 inference(resolution,[status(thm)],[f119,f52])).
% 1.74/0.68 fof(f141,plain,(
% 1.74/0.68 $false|sQ9_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f140,f54])).
% 1.74/0.68 fof(f142,plain,(
% 1.74/0.68 sQ9_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f141])).
% 1.74/0.68 fof(f143,plain,(
% 1.74/0.68 $false|sQ10_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f130,f67])).
% 1.74/0.68 fof(f144,plain,(
% 1.74/0.68 sQ10_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f143])).
% 1.74/0.68 fof(f158,definition,(
% 1.74/0.68 sQ14_spl <=> (differ(a,b))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f160,plain,(
% 1.74/0.68 ~differ(a,b)|sQ14_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f158])).
% 1.74/0.68 fof(f162,plain,(
% 1.74/0.68 $false|sQ5_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f100,f59])).
% 1.74/0.68 fof(f163,plain,(
% 1.74/0.68 sQ5_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f162])).
% 1.74/0.68 fof(f169,definition,(
% 1.74/0.68 sQ16_spl <=> (differ(d,b))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f171,plain,(
% 1.74/0.68 ~differ(d,b)|sQ16_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f169])).
% 1.74/0.68 fof(f174,plain,(
% 1.74/0.68 $false|sQ14_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f160,f53])).
% 1.74/0.68 fof(f175,plain,(
% 1.74/0.68 sQ14_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f174])).
% 1.74/0.68 fof(f179,definition,(
% 1.74/0.68 sQ17_spl <=> (holds(clear(b),s0))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f181,plain,(
% 1.74/0.68 ~holds(clear(b),s0)|sQ17_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f179])).
% 1.74/0.68 fof(f189,plain,(
% 1.74/0.68 ~differ(b,d)|sQ16_spl),
% 1.74/0.68 inference(resolution,[status(thm)],[f171,f52])).
% 1.74/0.68 fof(f190,plain,(
% 1.74/0.68 $false|sQ16_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f189,f58])).
% 1.74/0.68 fof(f191,plain,(
% 1.74/0.68 sQ16_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f190])).
% 1.74/0.68 fof(f201,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(b,d),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(c),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)),
% 1.74/0.68 inference(resolution,[status(thm)],[f126,f35])).
% 1.74/0.68 fof(f204,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(b,d),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(c),do(pickup(X0),X2))|~differ(c,X1)|~sQ8_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f201,f51])).
% 1.74/0.68 fof(f208,definition,(
% 1.74/0.68 sQ21_spl <=> (differ(c,table))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f210,plain,(
% 1.74/0.68 ~differ(c,table)|sQ21_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f208])).
% 1.74/0.68 fof(f213,plain,(
% 1.74/0.68 $false|sQ21_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f210,f61])).
% 1.74/0.68 fof(f214,plain,(
% 1.74/0.68 sQ21_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f213])).
% 1.74/0.68 fof(f226,definition,(
% 1.74/0.68 sQ24_spl <=> (differ(d,table))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f228,plain,(
% 1.74/0.68 ~differ(d,table)|sQ24_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f226])).
% 1.74/0.68 fof(f231,plain,(
% 1.74/0.68 $false|sQ24_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f228,f62])).
% 1.74/0.68 fof(f232,plain,(
% 1.74/0.68 sQ24_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f231])).
% 1.74/0.68 fof(f239,definition,(
% 1.74/0.68 sQ26_spl <=> (differ(b,c))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f241,plain,(
% 1.74/0.68 ~differ(b,c)|sQ26_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f239])).
% 1.74/0.68 fof(f243,plain,(
% 1.74/0.68 $false|sQ26_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f241,f57])).
% 1.74/0.68 fof(f244,plain,(
% 1.74/0.68 sQ26_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f243])).
% 1.74/0.68 fof(f250,definition,(
% 1.74/0.68 sQ28_spl <=> (differ(a,c))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f252,plain,(
% 1.74/0.68 ~differ(a,c)|sQ28_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f250])).
% 1.74/0.68 fof(f255,plain,(
% 1.74/0.68 $false|sQ28_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f252,f54])).
% 1.74/0.68 fof(f256,plain,(
% 1.74/0.68 sQ28_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f255])).
% 1.74/0.68 fof(f257,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(b,d),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(c,X1)|~holds(clear(c),X2)|~differ(c,X0)|~sQ8_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f204,f41])).
% 1.74/0.68 fof(f319,definition,(
% 1.74/0.68 sQ38_spl <=> (differ(a,d))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f321,plain,(
% 1.74/0.68 ~differ(a,d)|sQ38_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f319])).
% 1.74/0.68 fof(f323,plain,(
% 1.74/0.68 $false|sQ38_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f321,f55])).
% 1.74/0.68 fof(f324,plain,(
% 1.74/0.68 sQ38_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f323])).
% 1.74/0.68 fof(f338,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(on(b,d),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(c,X1)|~holds(clear(c),X2)|~differ(c,X0)|~holds(clear(a),do(pickup(X0),X2))|~differ(a,X1)|~sQ8_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f257,f51])).
% 1.74/0.68 fof(f406,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(on(b,d),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(c,X1)|~holds(clear(c),X2)|~differ(c,X0)|~differ(a,X1)|~holds(clear(a),X2)|~differ(a,X0)|~sQ8_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f338,f41])).
% 1.74/0.68 fof(f414,definition,(
% 1.74/0.68 sQ53_spl <=> (differ(c,d))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f416,plain,(
% 1.74/0.68 ~differ(c,d)|sQ53_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f414])).
% 1.74/0.68 fof(f426,plain,(
% 1.74/0.68 $false|sQ53_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f416,f60])).
% 1.74/0.68 fof(f427,plain,(
% 1.74/0.68 sQ53_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f426])).
% 1.74/0.68 fof(f443,plain,(
% 1.74/0.68 $false|sQ17_spl),
% 1.74/0.68 inference(forward_subsumption_resolution,[status(thm)],[f181,f68])).
% 1.74/0.68 fof(f444,plain,(
% 1.74/0.68 sQ17_spl),
% 1.74/0.68 inference(contradiction_clause,[status(thm)],[f443])).
% 1.74/0.68 fof(f496,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~differ(c,d)|~holds(clear(c),X0)|~differ(c,b)|~differ(a,d)|~holds(clear(a),X0)|~differ(a,b)|~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~sQ8_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f406,f77])).
% 1.74/0.68 fof(f498,definition,(
% 1.74/0.68 ![X0]: (sQ64_spl <=> (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f499,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~sQ64_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f498])).
% 1.74/0.68 fof(f501,definition,(
% 1.74/0.68 sQ65_spl <=> (differ(c,b))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f503,plain,(
% 1.74/0.68 ~differ(c,b)|sQ65_spl),
% 1.74/0.68 inference(component_clause,[status(thm)],[f501])).
% 1.74/0.68 fof(f504,plain,(
% 1.74/0.68 sQ64_spl|~sQ5_spl|~sQ53_spl|~sQ65_spl|~sQ38_spl|~sQ14_spl|~sQ8_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f496,f498,f98,f414,f501,f319,f158,f114])).
% 1.74/0.68 fof(f505,plain,(
% 1.74/0.68 ![X0]: (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~sQ64_spl)),
% 1.74/0.68 inference(duplicate_literals_removal,[status(thm)],[f499])).
% 1.74/0.68 fof(f509,plain,(
% 1.74/0.68 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(d),X0)|~differ(d,b)|~sQ64_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f505,f41])).
% 1.74/0.68 fof(f511,definition,(
% 1.74/0.68 ![X0]: (sQ66_spl <=> (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(d),X0)))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f512,plain,(
% 1.74/0.68 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(d),X0)|~sQ66_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f511])).
% 1.74/0.68 fof(f514,plain,(
% 1.74/0.68 sQ66_spl|~sQ16_spl|~sQ64_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f509,f511,f169,f498])).
% 1.74/0.68 fof(f516,plain,(
% 1.74/0.68 ~differ(b,c)|sQ65_spl),
% 1.74/0.68 inference(resolution,[status(thm)],[f503,f52])).
% 1.74/0.68 fof(f517,plain,(
% 1.74/0.68 ~sQ26_spl|sQ65_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f516,f239,f501])).
% 1.74/0.68 fof(f525,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),X2))|~holds(clear(c),do(putdown(X0,X1),X2))|~holds(clear(a),do(putdown(X0,X1),X2))|~holds(clear(d),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ66_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f512,f43])).
% 1.74/0.68 fof(f624,plain,(
% 1.74/0.68 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(d),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)|~sQ66_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f525,f35])).
% 1.74/0.68 fof(f672,plain,(
% 1.74/0.68 ![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(d),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)|~holds(holding(c),do(pickup(c),X1))|~holds(clear(X0),do(pickup(c),X1))|~sQ66_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f624,f47])).
% 1.74/0.68 fof(f676,definition,(
% 1.74/0.68 ![X0,X1]: (sQ81_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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(holding(c),do(pickup(c),X1))|~holds(clear(X0),do(pickup(c),X1))))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f677,plain,(
% 1.74/0.68 ![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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(holding(c),do(pickup(c),X1))|~holds(clear(X0),do(pickup(c),X1))|~sQ81_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f676])).
% 1.74/0.68 fof(f679,plain,(
% 1.74/0.68 sQ81_spl|~sQ21_spl|~sQ66_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f672,f676,f208,f511])).
% 1.74/0.68 fof(f684,plain,(
% 1.74/0.68 ![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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(holding(c),do(pickup(c),X1))|~sQ81_spl)),
% 1.74/0.68 inference(duplicate_literals_removal,[status(thm)],[f677])).
% 1.74/0.68 fof(f686,plain,(
% 1.74/0.68 ![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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(empty,X1)|~holds(clear(c),X1)|~differ(c,table)|~sQ81_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f684,f35])).
% 1.74/0.68 fof(f687,definition,(
% 1.74/0.68 ![X0,X1]: (sQ83_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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(empty,X1)|~holds(clear(c),X1)))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 1.74/0.68 fof(f688,plain,(
% 1.74/0.68 ![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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(empty,X1)|~holds(clear(c),X1)|~sQ83_spl)),
% 1.74/0.68 inference(component_clause,[status(thm)],[f687])).
% 1.74/0.68 fof(f690,plain,(
% 1.74/0.68 sQ83_spl|~sQ21_spl|~sQ81_spl),
% 1.74/0.68 inference(split_clause,[status(thm)],[f686,f687,f208,f676])).
% 1.74/0.68 fof(f691,plain,(
% 1.74/0.68 ![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(d),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~sQ83_spl)),
% 1.74/0.68 inference(duplicate_literals_removal,[status(thm)],[f688])).
% 1.74/0.68 fof(f692,plain,(
% 1.74/0.68 ![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)|~holds(clear(d),do(pickup(c),X1))|~differ(d,X0)|~sQ83_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f691,f51])).
% 1.74/0.68 fof(f694,plain,(
% 1.74/0.68 ![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)|~holds(clear(d),do(pickup(c),X1))|~differ(d,X0)|~holds(clear(b),do(pickup(c),X1))|~differ(b,X0)|~sQ83_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f692,f51])).
% 1.74/0.68 fof(f695,plain,(
% 1.74/0.68 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(clear(d),do(pickup(c),X1))|~differ(d,X0)|~holds(clear(b),do(pickup(c),X1))|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~sQ83_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f694,f51])).
% 1.74/0.68 fof(f697,plain,(
% 1.74/0.68 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(clear(b),do(pickup(c),X1))|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(c),X1)|~holds(empty,X1)|~sQ83_spl)),
% 1.74/0.68 inference(resolution,[status(thm)],[f695,f37])).
% 1.74/0.68 fof(f702,plain,(
% 1.74/0.68 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~holds(clear(b),do(pickup(c),X1))|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(on(c,d),X1)|~sQ83_spl)),
% 1.74/0.68 inference(duplicate_literals_removal,[status(thm)],[f697])).
% 1.74/0.68 fof(f720,definition,(
% 1.74/0.68 ![X0]: (sQ87_spl <=> (~holds(clear(X0),do(pickup(c),s0))|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)))),
% 1.74/0.68 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 1.74/0.70 fof(f721,plain,(
% 1.74/0.70 ![X0]: (~holds(clear(X0),do(pickup(c),s0))|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~sQ87_spl)),
% 1.74/0.70 inference(component_clause,[status(thm)],[f720])).
% 1.74/0.70 fof(f741,plain,(
% 1.74/0.70 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(b),X1)|~differ(b,c)|~sQ83_spl)),
% 1.74/0.70 inference(resolution,[status(thm)],[f702,f41])).
% 1.74/0.70 fof(f743,definition,(
% 1.74/0.70 ![X0,X1]: (sQ90_spl <=> (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(b),X1)))),
% 1.74/0.70 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 1.74/0.70 fof(f744,plain,(
% 1.74/0.70 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~differ(b,X0)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(b),X1)|~sQ90_spl)),
% 1.74/0.70 inference(component_clause,[status(thm)],[f743])).
% 1.74/0.70 fof(f746,plain,(
% 1.74/0.70 sQ90_spl|~sQ26_spl|~sQ83_spl),
% 1.74/0.70 inference(split_clause,[status(thm)],[f741,f743,f239,f687])).
% 1.74/0.70 fof(f748,plain,(
% 1.74/0.70 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(b),X1)|~holds(clear(a),X1)|~differ(a,c)|~sQ90_spl)),
% 1.74/0.70 inference(resolution,[status(thm)],[f744,f41])).
% 1.74/0.70 fof(f750,definition,(
% 1.74/0.70 ![X0,X1]: (sQ91_spl <=> (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(b),X1)|~holds(clear(a),X1)))),
% 1.74/0.70 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 1.74/0.70 fof(f751,plain,(
% 1.74/0.70 ![X0,X1]: (~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~holds(on(c,d),X1)|~holds(clear(b),X1)|~holds(clear(a),X1)|~sQ91_spl)),
% 1.74/0.70 inference(component_clause,[status(thm)],[f750])).
% 1.74/0.70 fof(f753,plain,(
% 1.74/0.70 sQ91_spl|~sQ28_spl|~sQ90_spl),
% 1.74/0.70 inference(split_clause,[status(thm)],[f748,f750,f250,f743])).
% 1.74/0.70 fof(f756,plain,(
% 1.74/0.70 ![X0]: (~holds(clear(X0),do(pickup(c),s0))|~holds(clear(c),s0)|~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~holds(on(c,d),s0)|~holds(clear(b),s0)|~holds(clear(a),s0)|~sQ91_spl)),
% 1.74/0.70 inference(resolution,[status(thm)],[f751,f70])).
% 1.74/0.70 fof(f757,definition,(
% 1.74/0.70 sQ92_spl <=> (holds(on(c,d),s0))),
% 1.74/0.70 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 1.74/0.70 fof(f759,plain,(
% 1.74/0.70 ~holds(on(c,d),s0)|sQ92_spl),
% 1.74/0.70 inference(component_clause,[status(thm)],[f757])).
% 1.74/0.70 fof(f760,plain,(
% 1.74/0.70 sQ87_spl|~sQ12_spl|~sQ92_spl|~sQ17_spl|~sQ10_spl|~sQ91_spl),
% 1.74/0.70 inference(split_clause,[status(thm)],[f756,f720,f134,f757,f179,f128,f750])).
% 1.74/0.70 fof(f762,plain,(
% 1.74/0.70 ~differ(d,table)|~differ(b,table)|~differ(a,table)|~sQ87_spl),
% 1.74/0.70 inference(resolution,[status(thm)],[f721,f71])).
% 1.74/0.70 fof(f765,plain,(
% 1.74/0.70 ~sQ24_spl|~sQ5_spl|~sQ3_spl|~sQ87_spl),
% 1.74/0.70 inference(split_clause,[status(thm)],[f762,f226,f98,f91,f720])).
% 1.74/0.70 fof(f770,plain,(
% 1.74/0.70 $false|sQ92_spl),
% 1.74/0.70 inference(forward_subsumption_resolution,[status(thm)],[f759,f65])).
% 1.74/0.70 fof(f771,plain,(
% 1.74/0.70 sQ92_spl),
% 1.74/0.70 inference(contradiction_clause,[status(thm)],[f770])).
% 1.74/0.70 fof(f772,plain,(
% 1.74/0.70 $false),
% 1.74/0.70 inference(sat_refutation,[status(thm)],[f94,f109,f111,f120,f124,f139,f142,f144,f163,f175,f191,f214,f232,f244,f256,f324,f427,f444,f504,f514,f517,f679,f690,f746,f753,f760,f765,f771])).
% 1.74/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 1.74/0.71 % Elapsed time: 0.340315 seconds
% 1.74/0.71 % CPU time: 2.438917 seconds
% 1.74/0.71 % Total memory used: 100.877 MB
% 1.74/0.71 % Net memory used: 95.328 MB
%------------------------------------------------------------------------------