%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA004-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:58:39 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA004-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n004.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 03:31:25 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.12/5.40 % Refutation found
% 0.12/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.40 fof(f1,axiom,(
% 0.12/5.40 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f2,axiom,(
% 0.12/5.40 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f4,axiom,(
% 0.12/5.40 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f5,axiom,(
% 0.12/5.40 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f6,axiom,(
% 0.12/5.40 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f7,axiom,(
% 0.12/5.40 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f8,axiom,(
% 0.12/5.40 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f9,axiom,(
% 0.12/5.40 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f10,axiom,(
% 0.12/5.40 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f11,axiom,(
% 0.12/5.40 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f12,axiom,(
% 0.12/5.40 differ(a,b) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f13,axiom,(
% 0.12/5.40 differ(a,c) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f16,axiom,(
% 0.12/5.40 differ(b,c) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f18,axiom,(
% 0.12/5.40 differ(b,table) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f20,axiom,(
% 0.12/5.40 differ(c,table) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f26,axiom,(
% 0.12/5.40 holds(clear(a),s0) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f27,axiom,(
% 0.12/5.40 holds(clear(b),s0) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f28,axiom,(
% 0.12/5.40 holds(clear(c),s0) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f29,axiom,(
% 0.12/5.40 holds(empty,s0) ),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f31,negated_conjecture,(
% 0.12/5.40 (![State]: (~ holds(and(on(b,a),on(c,b)),State) ))),
% 0.12/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f32,plain,(
% 0.12/5.40 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f1])).
% 0.12/5.40 fof(f33,plain,(
% 0.12/5.40 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/5.40 fof(f34,plain,(
% 0.12/5.40 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f2])).
% 0.12/5.40 fof(f35,plain,(
% 0.12/5.40 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/5.40 fof(f38,plain,(
% 0.12/5.40 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f4])).
% 0.12/5.40 fof(f39,plain,(
% 0.12/5.40 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/5.40 fof(f40,plain,(
% 0.12/5.40 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f5])).
% 0.12/5.40 fof(f41,plain,(
% 0.12/5.40 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/5.40 fof(f42,plain,(
% 0.12/5.40 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f6])).
% 0.12/5.40 fof(f43,plain,(
% 0.12/5.40 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/5.40 fof(f44,plain,(
% 0.12/5.40 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f7])).
% 0.12/5.40 fof(f45,plain,(
% 0.12/5.40 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.12/5.40 fof(f46,plain,(
% 0.12/5.40 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f8])).
% 0.12/5.40 fof(f47,plain,(
% 0.12/5.40 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/5.40 fof(f48,plain,(
% 0.12/5.40 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f9])).
% 0.12/5.40 fof(f49,plain,(
% 0.12/5.40 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.12/5.40 fof(f50,plain,(
% 0.12/5.40 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f10])).
% 0.12/5.40 fof(f51,plain,(
% 0.12/5.40 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/5.40 fof(f52,plain,(
% 0.12/5.40 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/5.40 fof(f53,plain,(
% 0.12/5.40 differ(a,b)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/5.40 fof(f54,plain,(
% 0.12/5.40 differ(a,c)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/5.40 fof(f57,plain,(
% 0.12/5.40 differ(b,c)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/5.40 fof(f59,plain,(
% 0.12/5.40 differ(b,table)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/5.40 fof(f61,plain,(
% 0.12/5.40 differ(c,table)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/5.40 fof(f67,plain,(
% 0.12/5.40 holds(clear(a),s0)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/5.40 fof(f68,plain,(
% 0.12/5.40 holds(clear(b),s0)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/5.40 fof(f69,plain,(
% 0.12/5.40 holds(clear(c),s0)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/5.40 fof(f70,plain,(
% 0.12/5.40 holds(empty,s0)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/5.40 fof(f72,plain,(
% 0.12/5.40 ![X0]: (~holds(and(on(b,a),on(c,b)),X0))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/5.40 fof(f73,plain,(
% 0.12/5.40 ![X0]: (~holds(on(b,a),X0)|~holds(on(c,b),X0))),
% 0.12/5.40 inference(resolution,[status(thm)],[f72,f33])).
% 0.12/5.40 fof(f75,plain,(
% 0.12/5.40 ![X0]: (~holds(on(b,a),do(putdown(c,b),X0))|~holds(holding(c),X0)|~holds(clear(b),X0))),
% 0.12/5.40 inference(resolution,[status(thm)],[f73,f45])).
% 0.12/5.40 fof(f83,definition,(
% 0.12/5.40 sQ1_spl <=> (differ(b,table))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f85,plain,(
% 0.12/5.40 ~differ(b,table)|sQ1_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f83])).
% 0.12/5.40 fof(f87,plain,(
% 0.12/5.40 ![X0]: (~holds(holding(c),X0)|~holds(clear(b),X0)|~holds(on(b,a),X0))),
% 0.12/5.40 inference(resolution,[status(thm)],[f75,f49])).
% 0.12/5.40 fof(f96,plain,(
% 0.12/5.40 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(on(b,a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table))),
% 0.12/5.40 inference(resolution,[status(thm)],[f87,f35])).
% 0.12/5.40 fof(f97,definition,(
% 0.12/5.40 ![X0]: (sQ4_spl <=> (~holds(clear(b),do(pickup(c),X0))|~holds(on(b,a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f98,plain,(
% 0.12/5.40 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(on(b,a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~sQ4_spl)),
% 0.12/5.40 inference(component_clause,[status(thm)],[f97])).
% 0.12/5.40 fof(f100,definition,(
% 0.12/5.40 sQ5_spl <=> (differ(c,table))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f102,plain,(
% 0.12/5.40 ~differ(c,table)|sQ5_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f100])).
% 0.12/5.40 fof(f103,plain,(
% 0.12/5.40 sQ4_spl|~sQ5_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f96,f97,f100])).
% 0.12/5.40 fof(f108,definition,(
% 0.12/5.40 sQ7_spl <=> (differ(c,b))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f110,plain,(
% 0.12/5.40 ~differ(c,b)|sQ7_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f108])).
% 0.12/5.40 fof(f112,plain,(
% 0.12/5.40 $false|sQ1_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f85,f59])).
% 0.12/5.40 fof(f113,plain,(
% 0.12/5.40 sQ1_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f112])).
% 0.12/5.40 fof(f114,plain,(
% 0.12/5.40 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(b,a),X0)|~differ(b,c)|~sQ4_spl)),
% 0.12/5.40 inference(resolution,[status(thm)],[f98,f39])).
% 0.12/5.40 fof(f115,definition,(
% 0.12/5.40 ![X0]: (sQ8_spl <=> (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(b,a),X0)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f116,plain,(
% 0.12/5.40 ![X0]: (~holds(clear(b),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(b,a),X0)|~sQ8_spl)),
% 0.12/5.40 inference(component_clause,[status(thm)],[f115])).
% 0.12/5.40 fof(f118,definition,(
% 0.12/5.40 sQ9_spl <=> (differ(b,c))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f120,plain,(
% 0.12/5.40 ~differ(b,c)|sQ9_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f118])).
% 0.12/5.40 fof(f121,plain,(
% 0.12/5.40 sQ8_spl|~sQ9_spl|~sQ4_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f114,f115,f118,f97])).
% 0.12/5.40 fof(f122,plain,(
% 0.12/5.40 $false|sQ5_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f102,f61])).
% 0.12/5.40 fof(f123,plain,(
% 0.12/5.40 sQ5_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f122])).
% 0.12/5.40 fof(f129,definition,(
% 0.12/5.40 sQ11_spl <=> (differ(a,b))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f131,plain,(
% 0.12/5.40 ~differ(a,b)|sQ11_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f129])).
% 0.12/5.40 fof(f134,plain,(
% 0.12/5.40 $false|sQ11_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f131,f53])).
% 0.12/5.40 fof(f135,plain,(
% 0.12/5.40 sQ11_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f134])).
% 0.12/5.40 fof(f140,plain,(
% 0.12/5.40 ~differ(b,c)|sQ7_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f110,f52])).
% 0.12/5.40 fof(f141,plain,(
% 0.12/5.40 $false|sQ7_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f140,f57])).
% 0.12/5.40 fof(f142,plain,(
% 0.12/5.40 sQ7_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f141])).
% 0.12/5.40 fof(f143,plain,(
% 0.12/5.40 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(b,a),X0)|~holds(clear(b),X0)|~differ(b,c)|~sQ8_spl)),
% 0.12/5.40 inference(resolution,[status(thm)],[f116,f41])).
% 0.12/5.40 fof(f145,definition,(
% 0.12/5.40 ![X0]: (sQ12_spl <=> (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(b,a),X0)|~holds(clear(b),X0)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f146,plain,(
% 0.12/5.41 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(b,a),X0)|~holds(clear(b),X0)|~sQ12_spl)),
% 0.12/5.41 inference(component_clause,[status(thm)],[f145])).
% 0.12/5.41 fof(f148,plain,(
% 0.12/5.41 sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f143,f145,f118,f115])).
% 0.12/5.41 fof(f150,plain,(
% 0.12/5.41 $false|sQ9_spl),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f120,f57])).
% 0.12/5.41 fof(f151,plain,(
% 0.12/5.41 sQ9_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f150])).
% 0.12/5.41 fof(f154,definition,(
% 0.12/5.41 sQ13_spl <=> (holds(clear(b),s0))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f156,plain,(
% 0.12/5.41 ~holds(clear(b),s0)|sQ13_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f154])).
% 0.12/5.41 fof(f160,definition,(
% 0.12/5.41 sQ15_spl <=> (holds(clear(a),s0))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f162,plain,(
% 0.12/5.41 ~holds(clear(a),s0)|sQ15_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f160])).
% 0.12/5.41 fof(f164,plain,(
% 0.12/5.41 $false|sQ15_spl),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f162,f67])).
% 0.12/5.41 fof(f165,plain,(
% 0.12/5.41 sQ15_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f164])).
% 0.12/5.41 fof(f166,plain,(
% 0.12/5.41 $false|sQ13_spl),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f156,f68])).
% 0.12/5.41 fof(f167,plain,(
% 0.12/5.41 sQ13_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f166])).
% 0.12/5.41 fof(f177,plain,(
% 0.12/5.41 ![X0,X1,X2]: (~holds(clear(c),do(putdown(X0,X1),X2))|~holds(on(b,a),do(putdown(X0,X1),X2))|~holds(clear(b),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ12_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f146,f43])).
% 0.12/5.41 fof(f178,definition,(
% 0.12/5.41 sQ16_spl <=> (holds(clear(c),s0))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f180,plain,(
% 0.12/5.41 ~holds(clear(c),s0)|sQ16_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f178])).
% 0.12/5.41 fof(f185,plain,(
% 0.12/5.41 $false|sQ16_spl),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f180,f69])).
% 0.12/5.41 fof(f186,plain,(
% 0.12/5.41 sQ16_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f185])).
% 0.12/5.41 fof(f188,plain,(
% 0.12/5.41 ![X0,X1,X2]: (~holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(b,a),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)|~sQ12_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f177,f35])).
% 0.12/5.41 fof(f208,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~holds(holding(b),do(pickup(b),X0))|~holds(clear(a),do(pickup(b),X0))|~sQ12_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f188,f45])).
% 0.12/5.41 fof(f209,definition,(
% 0.12/5.41 ![X0]: (sQ21_spl <=> (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~holds(clear(a),do(pickup(b),X0))))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f210,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~holds(clear(a),do(pickup(b),X0))|~sQ21_spl)),
% 0.12/5.41 inference(component_clause,[status(thm)],[f209])).
% 0.12/5.41 fof(f212,plain,(
% 0.12/5.41 sQ21_spl|~sQ1_spl|~sQ12_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f208,f209,f83,f145])).
% 0.12/5.41 fof(f213,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~sQ21_spl)),
% 0.12/5.41 inference(duplicate_literals_removal,[status(thm)],[f210])).
% 0.12/5.41 fof(f214,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~sQ21_spl)),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f213,f47])).
% 0.12/5.41 fof(f218,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~sQ21_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f214,f35])).
% 0.12/5.41 fof(f219,definition,(
% 0.12/5.41 ![X0]: (sQ22_spl <=> (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(b),X0)))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f220,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(b),X0)|~sQ22_spl)),
% 0.12/5.41 inference(component_clause,[status(thm)],[f219])).
% 0.12/5.41 fof(f222,plain,(
% 0.12/5.41 sQ22_spl|~sQ1_spl|~sQ21_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f218,f219,f83,f209])).
% 0.12/5.41 fof(f223,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))|~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~sQ22_spl)),
% 0.12/5.41 inference(duplicate_literals_removal,[status(thm)],[f220])).
% 0.12/5.41 fof(f243,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),do(pickup(b),X0))|~differ(c,a)|~sQ22_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f223,f51])).
% 0.12/5.41 fof(f244,definition,(
% 0.12/5.41 ![X0]: (sQ26_spl <=> (~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),do(pickup(b),X0))))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f245,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),do(pickup(b),X0))|~sQ26_spl)),
% 0.12/5.41 inference(component_clause,[status(thm)],[f244])).
% 0.12/5.41 fof(f247,definition,(
% 0.12/5.41 sQ27_spl <=> (differ(c,a))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f249,plain,(
% 0.12/5.41 ~differ(c,a)|sQ27_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f247])).
% 0.12/5.41 fof(f250,plain,(
% 0.12/5.41 sQ26_spl|~sQ27_spl|~sQ22_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f243,f244,f247,f219])).
% 0.12/5.41 fof(f258,plain,(
% 0.12/5.41 ~differ(a,c)|sQ27_spl),
% 0.12/5.41 inference(resolution,[status(thm)],[f249,f52])).
% 0.12/5.41 fof(f259,plain,(
% 0.12/5.41 $false|sQ27_spl),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f258,f54])).
% 0.12/5.41 fof(f260,plain,(
% 0.12/5.41 sQ27_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f259])).
% 0.12/5.41 fof(f290,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~differ(c,b)|~sQ26_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f245,f41])).
% 0.12/5.41 fof(f292,definition,(
% 0.12/5.41 ![X0]: (sQ34_spl <=> (~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f293,plain,(
% 0.12/5.41 ![X0]: (~holds(clear(a),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~sQ34_spl)),
% 0.12/5.41 inference(component_clause,[status(thm)],[f292])).
% 0.12/5.41 fof(f295,plain,(
% 0.12/5.41 sQ34_spl|~sQ7_spl|~sQ26_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f290,f292,f108,f244])).
% 0.12/5.41 fof(f305,plain,(
% 0.12/5.41 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~differ(a,b)|~sQ34_spl)),
% 0.12/5.41 inference(resolution,[status(thm)],[f293,f41])).
% 0.12/5.41 fof(f307,definition,(
% 0.12/5.41 ![X0]: (sQ36_spl <=> (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f308,plain,(
% 0.12/5.41 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~sQ36_spl)),
% 0.12/5.41 inference(component_clause,[status(thm)],[f307])).
% 0.12/5.41 fof(f310,plain,(
% 0.12/5.41 sQ36_spl|~sQ11_spl|~sQ34_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f305,f307,f129,f292])).
% 0.12/5.41 fof(f321,plain,(
% 0.12/5.41 ~holds(clear(b),s0)|~holds(clear(c),s0)|~holds(clear(a),s0)|~sQ36_spl),
% 0.12/5.41 inference(resolution,[status(thm)],[f308,f70])).
% 0.12/5.41 fof(f323,plain,(
% 0.12/5.41 ~sQ13_spl|~sQ16_spl|~sQ15_spl|~sQ36_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f321,f154,f178,f160,f307])).
% 0.12/5.41 fof(f324,plain,(
% 0.12/5.41 $false),
% 0.12/5.41 inference(sat_refutation,[status(thm)],[f103,f113,f121,f123,f135,f142,f148,f151,f165,f167,f186,f212,f222,f250,f260,f295,f310,f323])).
% 0.12/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.42 % Elapsed time: 0.056872 seconds
% 0.12/5.42 % CPU time: 0.204504 seconds
% 0.12/5.42 % Total memory used: 59.561 MB
% 0.12/5.42 % Net memory used: 59.122 MB
%------------------------------------------------------------------------------