%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA011-2 : 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 : n004.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 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA011-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n004.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Mon Sep 21 03:31:50 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.35 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,axiom,(
% 0.11/0.38 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,axiom,(
% 0.11/0.38 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,axiom,(
% 0.11/0.38 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f10,axiom,(
% 0.11/0.38 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f11,axiom,(
% 0.11/0.38 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f16,axiom,(
% 0.11/0.38 differ(b,c) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f17,axiom,(
% 0.11/0.38 differ(b,d) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f19,axiom,(
% 0.11/0.38 differ(c,d) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f20,axiom,(
% 0.11/0.38 differ(c,table) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f21,axiom,(
% 0.11/0.38 differ(d,table) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f24,axiom,(
% 0.11/0.38 holds(on(c,d),s0) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f27,axiom,(
% 0.11/0.38 holds(clear(b),s0) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f28,axiom,(
% 0.11/0.38 holds(clear(c),s0) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f29,axiom,(
% 0.11/0.38 holds(empty,s0) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f31,negated_conjecture,(
% 0.11/0.38 (![State]: (~ holds(and(on(c,b),on(d,c)),State) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.38 fof(f34,plain,(
% 0.11/0.38 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.11/0.38 fof(f35,plain,(
% 0.11/0.38 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.38 fof(f36,plain,(
% 0.11/0.38 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.11/0.38 fof(f39,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.38 fof(f42,plain,(
% 0.11/0.38 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.38 fof(f43,plain,(
% 0.11/0.38 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.38 fof(f44,plain,(
% 0.11/0.38 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.11/0.38 fof(f45,plain,(
% 0.11/0.38 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.11/0.38 fof(f46,plain,(
% 0.11/0.38 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.38 fof(f47,plain,(
% 0.11/0.38 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.11/0.38 fof(f48,plain,(
% 0.11/0.38 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f9])).
% 0.11/0.38 fof(f49,plain,(
% 0.11/0.38 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f48])).
% 0.11/0.38 fof(f50,plain,(
% 0.11/0.38 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f10])).
% 0.11/0.38 fof(f51,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.11/0.38 fof(f52,plain,(
% 0.11/0.38 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.38 fof(f57,plain,(
% 0.11/0.38 differ(b,c)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.38 fof(f58,plain,(
% 0.11/0.38 differ(b,d)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.38 fof(f60,plain,(
% 0.11/0.38 differ(c,d)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.38 fof(f61,plain,(
% 0.11/0.38 differ(c,table)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.38 fof(f62,plain,(
% 0.11/0.38 differ(d,table)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.38 fof(f65,plain,(
% 0.11/0.38 holds(on(c,d),s0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.38 fof(f68,plain,(
% 0.11/0.38 holds(clear(b),s0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.38 fof(f69,plain,(
% 0.11/0.38 holds(clear(c),s0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.38 fof(f70,plain,(
% 0.11/0.38 holds(empty,s0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.38 fof(f72,plain,(
% 0.11/0.38 ![X0]: (~holds(and(on(c,b),on(d,c)),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/0.38 fof(f73,plain,(
% 0.11/0.38 ![X0]: (~holds(on(c,b),X0)|~holds(on(d,c),X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f72,f33])).
% 0.11/0.38 fof(f75,plain,(
% 0.11/0.38 ![X0]: (~holds(on(c,b),do(putdown(d,c),X0))|~holds(holding(d),X0)|~holds(clear(c),X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f73,f45])).
% 0.11/0.38 fof(f83,definition,(
% 0.11/0.38 sQ1_spl <=> (differ(c,table))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f85,plain,(
% 0.11/0.38 ~differ(c,table)|sQ1_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.38 fof(f87,plain,(
% 0.11/0.38 ![X0]: (~holds(holding(d),X0)|~holds(clear(c),X0)|~holds(on(c,b),X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f75,f49])).
% 0.11/0.38 fof(f96,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(c),do(pickup(d),X0))|~holds(on(c,b),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~differ(d,table))),
% 0.11/0.38 inference(resolution,[status(thm)],[f87,f35])).
% 0.11/0.38 fof(f97,definition,(
% 0.11/0.38 ![X0]: (sQ4_spl <=> (~holds(clear(c),do(pickup(d),X0))|~holds(on(c,b),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f98,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(c),do(pickup(d),X0))|~holds(on(c,b),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~sQ4_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.38 fof(f100,definition,(
% 0.11/0.38 sQ5_spl <=> (differ(d,table))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f102,plain,(
% 0.11/0.38 ~differ(d,table)|sQ5_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f100])).
% 0.11/0.38 fof(f103,plain,(
% 0.11/0.38 sQ4_spl|~sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f96,f97,f100])).
% 0.11/0.38 fof(f112,plain,(
% 0.11/0.38 $false|sQ1_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f85,f61])).
% 0.11/0.38 fof(f113,plain,(
% 0.11/0.38 sQ1_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f112])).
% 0.11/0.38 fof(f114,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,b),X0)|~differ(c,d)|~sQ4_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f98,f39])).
% 0.11/0.38 fof(f115,definition,(
% 0.11/0.38 ![X0]: (sQ8_spl <=> (~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,b),X0)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f116,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(c),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,b),X0)|~sQ8_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.38 fof(f118,definition,(
% 0.11/0.38 sQ9_spl <=> (differ(c,d))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f120,plain,(
% 0.11/0.38 ~differ(c,d)|sQ9_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.38 fof(f121,plain,(
% 0.11/0.38 sQ8_spl|~sQ9_spl|~sQ4_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f114,f115,f118,f97])).
% 0.11/0.38 fof(f122,plain,(
% 0.11/0.38 $false|sQ5_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f102,f62])).
% 0.11/0.38 fof(f123,plain,(
% 0.11/0.38 sQ5_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f122])).
% 0.11/0.38 fof(f129,definition,(
% 0.11/0.38 sQ11_spl <=> (differ(b,c))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f131,plain,(
% 0.11/0.38 ~differ(b,c)|sQ11_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f129])).
% 0.11/0.38 fof(f134,plain,(
% 0.11/0.38 $false|sQ11_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f131,f57])).
% 0.11/0.38 fof(f135,plain,(
% 0.11/0.38 sQ11_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f134])).
% 0.11/0.38 fof(f143,plain,(
% 0.11/0.38 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,b),X0)|~holds(clear(c),X0)|~differ(c,d)|~sQ8_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f116,f41])).
% 0.11/0.38 fof(f145,definition,(
% 0.11/0.38 ![X0]: (sQ12_spl <=> (~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,b),X0)|~holds(clear(c),X0)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f146,plain,(
% 0.11/0.38 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,b),X0)|~holds(clear(c),X0)|~sQ12_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f145])).
% 0.11/0.38 fof(f148,plain,(
% 0.11/0.38 sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f143,f145,f118,f115])).
% 0.11/0.38 fof(f150,plain,(
% 0.11/0.38 $false|sQ9_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f120,f60])).
% 0.11/0.38 fof(f151,plain,(
% 0.11/0.38 sQ9_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f150])).
% 0.11/0.38 fof(f154,definition,(
% 0.11/0.38 sQ13_spl <=> (holds(clear(c),s0))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f156,plain,(
% 0.11/0.38 ~holds(clear(c),s0)|sQ13_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f154])).
% 0.11/0.38 fof(f160,definition,(
% 0.11/0.38 sQ15_spl <=> (holds(clear(b),s0))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f162,plain,(
% 0.11/0.38 ~holds(clear(b),s0)|sQ15_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f160])).
% 0.11/0.38 fof(f164,plain,(
% 0.11/0.38 $false|sQ15_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f162,f68])).
% 0.11/0.38 fof(f165,plain,(
% 0.11/0.38 sQ15_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f164])).
% 0.11/0.38 fof(f166,plain,(
% 0.11/0.38 $false|sQ13_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f156,f69])).
% 0.11/0.38 fof(f167,plain,(
% 0.11/0.38 sQ13_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f166])).
% 0.11/0.38 fof(f177,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~holds(clear(d),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)|~sQ12_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f146,f43])).
% 0.11/0.38 fof(f186,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~holds(clear(d),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)|~sQ12_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f177,f35])).
% 0.11/0.38 fof(f206,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(b),do(pickup(c),X0))|~sQ12_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f186,f45])).
% 0.11/0.38 fof(f207,definition,(
% 0.11/0.38 ![X0]: (sQ21_spl <=> (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(b),do(pickup(c),X0))))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f208,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(b),do(pickup(c),X0))|~sQ21_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f207])).
% 0.11/0.38 fof(f210,plain,(
% 0.11/0.38 sQ21_spl|~sQ1_spl|~sQ12_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f206,f207,f83,f145])).
% 0.11/0.38 fof(f211,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~sQ21_spl)),
% 0.11/0.38 inference(duplicate_literals_removal,[status(thm)],[f208])).
% 0.11/0.38 fof(f212,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~sQ21_spl)),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f211,f47])).
% 0.11/0.38 fof(f216,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table)|~sQ21_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f212,f35])).
% 0.11/0.38 fof(f217,definition,(
% 0.11/0.38 ![X0]: (sQ22_spl <=> (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(c),X0)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f218,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(c),X0)|~sQ22_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f217])).
% 0.11/0.38 fof(f220,plain,(
% 0.11/0.38 sQ22_spl|~sQ1_spl|~sQ21_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f216,f217,f83,f207])).
% 0.11/0.38 fof(f221,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))|~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~sQ22_spl)),
% 0.11/0.38 inference(duplicate_literals_removal,[status(thm)],[f218])).
% 0.11/0.38 fof(f241,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~differ(d,b)|~sQ22_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f221,f51])).
% 0.11/0.38 fof(f242,definition,(
% 0.11/0.38 ![X0]: (sQ26_spl <=> (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f243,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~sQ26_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f242])).
% 0.11/0.38 fof(f245,definition,(
% 0.11/0.38 sQ27_spl <=> (differ(d,b))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f247,plain,(
% 0.11/0.38 ~differ(d,b)|sQ27_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f245])).
% 0.11/0.38 fof(f248,plain,(
% 0.11/0.38 sQ26_spl|~sQ27_spl|~sQ22_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f241,f242,f245,f217])).
% 0.11/0.38 fof(f256,plain,(
% 0.11/0.38 ~differ(b,d)|sQ27_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f247,f52])).
% 0.11/0.38 fof(f257,plain,(
% 0.11/0.38 $false|sQ27_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f256,f58])).
% 0.11/0.38 fof(f258,plain,(
% 0.11/0.38 sQ27_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f257])).
% 0.11/0.38 fof(f289,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(c),X0)|~holds(empty,X0)|~sQ26_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f243,f37])).
% 0.11/0.38 fof(f294,plain,(
% 0.11/0.38 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~sQ26_spl)),
% 0.11/0.38 inference(duplicate_literals_removal,[status(thm)],[f289])).
% 0.11/0.38 fof(f331,plain,(
% 0.11/0.38 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~differ(b,c)|~sQ26_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f294,f41])).
% 0.11/0.38 fof(f333,definition,(
% 0.11/0.38 ![X0]: (sQ39_spl <=> (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f334,plain,(
% 0.11/0.38 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~sQ39_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f333])).
% 0.11/0.38 fof(f336,plain,(
% 0.11/0.38 sQ39_spl|~sQ11_spl|~sQ26_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f331,f333,f129,f242])).
% 0.11/0.38 fof(f345,plain,(
% 0.11/0.38 ~holds(clear(c),s0)|~holds(on(c,d),s0)|~holds(clear(b),s0)|~sQ39_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f334,f70])).
% 0.11/0.38 fof(f347,definition,(
% 0.11/0.38 sQ41_spl <=> (holds(on(c,d),s0))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f349,plain,(
% 0.11/0.38 ~holds(on(c,d),s0)|sQ41_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f347])).
% 0.11/0.38 fof(f350,plain,(
% 0.11/0.38 ~sQ13_spl|~sQ41_spl|~sQ15_spl|~sQ39_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f345,f154,f347,f160,f333])).
% 0.11/0.38 fof(f351,plain,(
% 0.11/0.38 $false|sQ41_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f349,f65])).
% 0.11/0.38 fof(f352,plain,(
% 0.11/0.38 sQ41_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f351])).
% 0.11/0.38 fof(f353,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f103,f113,f121,f123,f135,f148,f151,f165,f167,f210,f220,f248,f258,f336,f350,f352])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.058235 seconds
% 0.11/0.40 % CPU time: 0.207403 seconds
% 0.11/0.40 % Total memory used: 60.191 MB
% 0.11/0.40 % Net memory used: 59.758 MB
%------------------------------------------------------------------------------