%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA013-1 : 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 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA013-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n005.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 03:31:48 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f1,axiom,(
% 0.18/0.50 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f2,axiom,(
% 0.18/0.50 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f4,axiom,(
% 0.18/0.50 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f5,axiom,(
% 0.18/0.50 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f6,axiom,(
% 0.18/0.50 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f7,axiom,(
% 0.18/0.50 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f8,axiom,(
% 0.18/0.50 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f9,axiom,(
% 0.18/0.50 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f10,axiom,(
% 0.18/0.50 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f11,axiom,(
% 0.18/0.50 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f12,axiom,(
% 0.18/0.50 differ(a,b) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f13,axiom,(
% 0.18/0.50 differ(a,c) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f15,axiom,(
% 0.18/0.50 differ(a,table) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f16,axiom,(
% 0.18/0.50 differ(b,c) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f20,axiom,(
% 0.18/0.50 differ(c,table) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f26,axiom,(
% 0.18/0.50 holds(clear(a),s0) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f27,axiom,(
% 0.18/0.50 holds(clear(b),s0) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f28,axiom,(
% 0.18/0.50 holds(clear(c),s0) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f29,axiom,(
% 0.18/0.50 holds(empty,s0) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f31,negated_conjecture,(
% 0.18/0.50 (![State]: (~ holds(and(on(a,c),on(c,b)),State) ))),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f32,plain,(
% 0.18/0.50 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f1])).
% 0.18/0.50 fof(f33,plain,(
% 0.18/0.50 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.50 fof(f34,plain,(
% 0.18/0.50 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f2])).
% 0.18/0.50 fof(f35,plain,(
% 0.18/0.50 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.50 fof(f38,plain,(
% 0.18/0.50 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f4])).
% 0.18/0.50 fof(f39,plain,(
% 0.18/0.50 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f38])).
% 0.18/0.50 fof(f40,plain,(
% 0.18/0.50 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f5])).
% 0.18/0.50 fof(f41,plain,(
% 0.18/0.50 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.50 fof(f42,plain,(
% 0.18/0.50 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f6])).
% 0.18/0.50 fof(f43,plain,(
% 0.18/0.50 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f42])).
% 0.18/0.50 fof(f44,plain,(
% 0.18/0.50 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f7])).
% 0.18/0.50 fof(f45,plain,(
% 0.18/0.50 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f44])).
% 0.18/0.50 fof(f46,plain,(
% 0.18/0.50 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f8])).
% 0.18/0.50 fof(f47,plain,(
% 0.18/0.50 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f46])).
% 0.18/0.50 fof(f48,plain,(
% 0.18/0.50 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f9])).
% 0.18/0.50 fof(f49,plain,(
% 0.18/0.50 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f48])).
% 0.18/0.50 fof(f50,plain,(
% 0.18/0.50 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f10])).
% 0.18/0.50 fof(f51,plain,(
% 0.18/0.50 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f50])).
% 0.18/0.50 fof(f52,plain,(
% 0.18/0.50 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.50 fof(f53,plain,(
% 0.18/0.50 differ(a,b)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.51 fof(f54,plain,(
% 0.18/0.51 differ(a,c)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f13])).
% 0.18/0.51 fof(f56,plain,(
% 0.18/0.51 differ(a,table)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.51 fof(f57,plain,(
% 0.18/0.51 differ(b,c)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.51 fof(f61,plain,(
% 0.18/0.51 differ(c,table)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f20])).
% 0.18/0.51 fof(f67,plain,(
% 0.18/0.51 holds(clear(a),s0)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f26])).
% 0.18/0.51 fof(f68,plain,(
% 0.18/0.51 holds(clear(b),s0)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.51 fof(f69,plain,(
% 0.18/0.51 holds(clear(c),s0)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f28])).
% 0.18/0.51 fof(f70,plain,(
% 0.18/0.51 holds(empty,s0)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f29])).
% 0.18/0.51 fof(f72,plain,(
% 0.18/0.51 ![X0]: (~holds(and(on(a,c),on(c,b)),X0))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f31])).
% 0.18/0.51 fof(f73,plain,(
% 0.18/0.51 ![X0]: (~holds(on(a,c),X0)|~holds(on(c,b),X0))),
% 0.18/0.51 inference(resolution,[status(thm)],[f72,f33])).
% 0.18/0.51 fof(f75,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~holds(on(c,b),X0)|~holds(on(a,c),do(putdown(X1,X2),X0)))),
% 0.18/0.51 inference(resolution,[status(thm)],[f49,f73])).
% 0.18/0.51 fof(f77,plain,(
% 0.18/0.51 ![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))),
% 0.18/0.51 inference(resolution,[status(thm)],[f45,f35])).
% 0.18/0.51 fof(f86,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~differ(a,table)|~holds(on(c,b),do(pickup(a),X0)))),
% 0.18/0.51 inference(resolution,[status(thm)],[f77,f75])).
% 0.18/0.51 fof(f88,definition,(
% 0.18/0.51 ![X0]: (sQ2_spl <=> (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),do(pickup(a),X0))))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f89,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),do(pickup(a),X0))|~sQ2_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f88])).
% 0.18/0.51 fof(f91,definition,(
% 0.18/0.51 sQ3_spl <=> (differ(a,table))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f93,plain,(
% 0.18/0.51 ~differ(a,table)|sQ3_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f91])).
% 0.18/0.51 fof(f94,plain,(
% 0.18/0.51 sQ2_spl|~sQ3_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f86,f88,f91])).
% 0.18/0.51 fof(f98,definition,(
% 0.18/0.51 sQ5_spl <=> (differ(c,table))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f100,plain,(
% 0.18/0.51 ~differ(c,table)|sQ5_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f98])).
% 0.18/0.51 fof(f102,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),X0)|~differ(c,a)|~sQ2_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f89,f39])).
% 0.18/0.51 fof(f103,definition,(
% 0.18/0.51 ![X0]: (sQ6_spl <=> (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),X0)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f104,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),X0)|~sQ6_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f103])).
% 0.18/0.51 fof(f106,definition,(
% 0.18/0.51 sQ7_spl <=> (differ(c,a))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f108,plain,(
% 0.18/0.51 ~differ(c,a)|sQ7_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f106])).
% 0.18/0.51 fof(f109,plain,(
% 0.18/0.51 sQ6_spl|~sQ7_spl|~sQ2_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f102,f103,f106,f88])).
% 0.18/0.51 fof(f110,plain,(
% 0.18/0.51 $false|sQ3_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f93,f56])).
% 0.18/0.51 fof(f111,plain,(
% 0.18/0.51 sQ3_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f110])).
% 0.18/0.51 fof(f112,plain,(
% 0.18/0.51 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),X0)|~holds(clear(c),X0)|~differ(c,a)|~sQ6_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f104,f41])).
% 0.18/0.51 fof(f114,definition,(
% 0.18/0.51 ![X0]: (sQ8_spl <=> (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),X0)|~holds(clear(c),X0)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f115,plain,(
% 0.18/0.51 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(c,b),X0)|~holds(clear(c),X0)|~sQ8_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f114])).
% 0.18/0.51 fof(f117,plain,(
% 0.18/0.51 sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f112,f114,f106,f103])).
% 0.18/0.51 fof(f119,plain,(
% 0.18/0.51 ~differ(a,c)|sQ7_spl),
% 0.18/0.51 inference(resolution,[status(thm)],[f108,f52])).
% 0.18/0.51 fof(f120,plain,(
% 0.18/0.51 $false|sQ7_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f119,f54])).
% 0.18/0.51 fof(f121,plain,(
% 0.18/0.51 sQ7_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f120])).
% 0.18/0.51 fof(f123,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),X2))|~holds(on(c,b),do(putdown(X0,X1),X2))|~holds(clear(c),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ8_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f115,f43])).
% 0.18/0.51 fof(f125,definition,(
% 0.18/0.51 sQ9_spl <=> (holds(clear(a),s0))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f127,plain,(
% 0.18/0.51 ~holds(clear(a),s0)|sQ9_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f125])).
% 0.18/0.51 fof(f131,definition,(
% 0.18/0.51 sQ11_spl <=> (holds(clear(c),s0))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f133,plain,(
% 0.18/0.51 ~holds(clear(c),s0)|sQ11_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f131])).
% 0.18/0.51 fof(f135,plain,(
% 0.18/0.51 $false|sQ11_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f133,f69])).
% 0.18/0.51 fof(f136,plain,(
% 0.18/0.51 sQ11_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f135])).
% 0.18/0.51 fof(f137,plain,(
% 0.18/0.51 $false|sQ9_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f127,f67])).
% 0.18/0.51 fof(f138,plain,(
% 0.18/0.51 sQ9_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f137])).
% 0.18/0.51 fof(f149,definition,(
% 0.18/0.51 sQ13_spl <=> (differ(a,c))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f151,plain,(
% 0.18/0.51 ~differ(a,c)|sQ13_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f149])).
% 0.18/0.51 fof(f153,plain,(
% 0.18/0.51 $false|sQ5_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f100,f61])).
% 0.18/0.51 fof(f154,plain,(
% 0.18/0.51 sQ5_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f153])).
% 0.18/0.51 fof(f160,definition,(
% 0.18/0.51 sQ15_spl <=> (differ(b,c))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f162,plain,(
% 0.18/0.51 ~differ(b,c)|sQ15_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f160])).
% 0.18/0.51 fof(f165,plain,(
% 0.18/0.51 $false|sQ13_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f151,f54])).
% 0.18/0.51 fof(f166,plain,(
% 0.18/0.51 sQ13_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f165])).
% 0.18/0.51 fof(f172,definition,(
% 0.18/0.51 sQ17_spl <=> (holds(clear(b),s0))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f174,plain,(
% 0.18/0.51 ~holds(clear(b),s0)|sQ17_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f172])).
% 0.18/0.51 fof(f176,plain,(
% 0.18/0.51 $false|sQ15_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f162,f57])).
% 0.18/0.51 fof(f177,plain,(
% 0.18/0.51 sQ15_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f176])).
% 0.18/0.51 fof(f188,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(c,b),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)),
% 0.18/0.51 inference(resolution,[status(thm)],[f123,f35])).
% 0.18/0.51 fof(f190,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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))|~sQ8_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f188,f47])).
% 0.18/0.51 fof(f192,definition,(
% 0.18/0.51 ![X0,X1]: (sQ18_spl <=> (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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))))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f193,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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))|~sQ18_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f192])).
% 0.18/0.51 fof(f195,plain,(
% 0.18/0.51 sQ18_spl|~sQ5_spl|~sQ8_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f190,f192,f98,f114])).
% 0.18/0.51 fof(f196,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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))|~sQ18_spl)),
% 0.18/0.51 inference(duplicate_literals_removal,[status(thm)],[f193])).
% 0.18/0.51 fof(f197,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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)|~sQ18_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f196,f35])).
% 0.18/0.51 fof(f198,definition,(
% 0.18/0.51 ![X0,X1]: (sQ19_spl <=> (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f199,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),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)|~sQ19_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f198])).
% 0.18/0.51 fof(f201,plain,(
% 0.18/0.51 sQ19_spl|~sQ5_spl|~sQ18_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f197,f198,f98,f192])).
% 0.18/0.51 fof(f202,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))|~holds(on(c,b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~sQ19_spl)),
% 0.18/0.51 inference(duplicate_literals_removal,[status(thm)],[f199])).
% 0.18/0.51 fof(f203,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(on(c,b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~holds(clear(a),do(pickup(c),X1))|~differ(a,X0)|~sQ19_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f202,f51])).
% 0.18/0.51 fof(f211,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(on(c,b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(a,X0)|~holds(clear(a),X1)|~differ(a,c)|~sQ19_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f203,f41])).
% 0.18/0.51 fof(f213,definition,(
% 0.18/0.51 ![X0,X1]: (sQ21_spl <=> (~holds(on(c,b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(a,X0)|~holds(clear(a),X1)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f214,plain,(
% 0.18/0.51 ![X0,X1]: (~holds(on(c,b),do(putdown(c,X0),do(pickup(c),X1)))|~holds(clear(X0),do(pickup(c),X1))|~holds(empty,X1)|~holds(clear(c),X1)|~differ(a,X0)|~holds(clear(a),X1)|~sQ21_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f213])).
% 0.18/0.51 fof(f216,plain,(
% 0.18/0.51 sQ21_spl|~sQ13_spl|~sQ19_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f211,f213,f149,f198])).
% 0.18/0.51 fof(f218,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~differ(a,b)|~holds(clear(a),X0)|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table)|~sQ21_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f214,f77])).
% 0.18/0.51 fof(f220,definition,(
% 0.18/0.51 ![X0]: (sQ22_spl <=> (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f221,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~sQ22_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f220])).
% 0.18/0.51 fof(f223,definition,(
% 0.18/0.51 sQ23_spl <=> (differ(a,b))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f225,plain,(
% 0.18/0.51 ~differ(a,b)|sQ23_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f223])).
% 0.18/0.51 fof(f226,plain,(
% 0.18/0.51 sQ22_spl|~sQ23_spl|~sQ5_spl|~sQ21_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f218,f220,f223,f98,f213])).
% 0.18/0.51 fof(f227,plain,(
% 0.18/0.51 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~sQ22_spl)),
% 0.18/0.51 inference(duplicate_literals_removal,[status(thm)],[f221])).
% 0.18/0.51 fof(f228,plain,(
% 0.18/0.51 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(b),X0)|~differ(b,c)|~sQ22_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f227,f41])).
% 0.18/0.51 fof(f230,definition,(
% 0.18/0.51 ![X0]: (sQ24_spl <=> (~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(b),X0)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f231,plain,(
% 0.18/0.51 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~holds(clear(b),X0)|~sQ24_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f230])).
% 0.18/0.51 fof(f233,plain,(
% 0.18/0.51 sQ24_spl|~sQ15_spl|~sQ22_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f228,f230,f160,f220])).
% 0.18/0.51 fof(f235,plain,(
% 0.18/0.51 $false|sQ23_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f225,f53])).
% 0.18/0.51 fof(f236,plain,(
% 0.18/0.51 sQ23_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f235])).
% 0.18/0.51 fof(f238,plain,(
% 0.18/0.51 ~holds(clear(c),s0)|~holds(clear(a),s0)|~holds(clear(b),s0)|~sQ24_spl),
% 0.18/0.51 inference(resolution,[status(thm)],[f231,f70])).
% 0.18/0.51 fof(f239,plain,(
% 0.18/0.51 ~sQ11_spl|~sQ9_spl|~sQ17_spl|~sQ24_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f238,f131,f125,f172,f230])).
% 0.18/0.51 fof(f240,plain,(
% 0.18/0.51 $false|sQ17_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f174,f68])).
% 0.18/0.51 fof(f241,plain,(
% 0.18/0.51 sQ17_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f240])).
% 0.18/0.51 fof(f242,plain,(
% 0.18/0.51 $false),
% 0.18/0.51 inference(sat_refutation,[status(thm)],[f94,f109,f111,f117,f121,f136,f138,f154,f166,f177,f195,f201,f216,f226,f233,f236,f239,f241])).
% 0.18/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.53 % Elapsed time: 0.085227 seconds
% 0.18/0.53 % CPU time: 0.341905 seconds
% 0.18/0.53 % Total memory used: 61.643 MB
% 0.18/0.53 % Net memory used: 61.063 MB
%------------------------------------------------------------------------------