%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA005-1 : 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 : n006.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 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA005-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:31:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f1,axiom,(
% 0.09/0.42 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f2,axiom,(
% 0.09/0.42 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f3,axiom,(
% 0.09/0.42 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f4,axiom,(
% 0.09/0.42 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f5,axiom,(
% 0.09/0.42 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f6,axiom,(
% 0.09/0.42 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f7,axiom,(
% 0.09/0.42 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f9,axiom,(
% 0.09/0.42 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f10,axiom,(
% 0.09/0.42 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f11,axiom,(
% 0.09/0.42 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f12,axiom,(
% 0.09/0.42 differ(a,b) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f13,axiom,(
% 0.09/0.42 differ(a,c) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f14,axiom,(
% 0.09/0.42 differ(a,d) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f16,axiom,(
% 0.09/0.42 differ(b,c) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f17,axiom,(
% 0.09/0.42 differ(b,d) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f19,axiom,(
% 0.09/0.42 differ(c,d) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f20,axiom,(
% 0.09/0.42 differ(c,table) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f21,axiom,(
% 0.09/0.42 differ(d,table) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f24,axiom,(
% 0.09/0.42 holds(on(c,d),s0) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f26,axiom,(
% 0.09/0.42 holds(clear(a),s0) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f27,axiom,(
% 0.09/0.42 holds(clear(b),s0) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f28,axiom,(
% 0.09/0.42 holds(clear(c),s0) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f29,axiom,(
% 0.09/0.42 holds(empty,s0) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f31,negated_conjecture,(
% 0.09/0.42 (![State]: (~ holds(and(on(c,a),on(d,b)),State) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f32,plain,(
% 0.09/0.42 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.42 fof(f33,plain,(
% 0.09/0.42 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.42 fof(f34,plain,(
% 0.09/0.42 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.42 fof(f35,plain,(
% 0.09/0.42 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.42 fof(f36,plain,(
% 0.09/0.42 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.42 fof(f37,plain,(
% 0.09/0.42 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.42 fof(f38,plain,(
% 0.09/0.42 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.42 fof(f39,plain,(
% 0.09/0.42 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.42 fof(f40,plain,(
% 0.09/0.42 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.42 fof(f41,plain,(
% 0.09/0.42 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.09/0.42 fof(f42,plain,(
% 0.09/0.42 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.42 fof(f43,plain,(
% 0.09/0.42 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.42 fof(f44,plain,(
% 0.09/0.42 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.42 fof(f45,plain,(
% 0.09/0.42 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.42 fof(f48,plain,(
% 0.09/0.42 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f9])).
% 0.09/0.42 fof(f49,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f50,plain,(
% 0.09/0.42 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f10])).
% 0.09/0.42 fof(f51,plain,(
% 0.09/0.42 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.42 fof(f52,plain,(
% 0.09/0.42 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.42 fof(f53,plain,(
% 0.09/0.42 differ(a,b)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.42 fof(f54,plain,(
% 0.09/0.42 differ(a,c)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.42 fof(f55,plain,(
% 0.09/0.42 differ(a,d)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.42 fof(f57,plain,(
% 0.09/0.42 differ(b,c)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.42 fof(f58,plain,(
% 0.09/0.42 differ(b,d)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.42 fof(f60,plain,(
% 0.09/0.42 differ(c,d)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.42 fof(f61,plain,(
% 0.09/0.42 differ(c,table)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.42 fof(f62,plain,(
% 0.09/0.42 differ(d,table)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.43 fof(f65,plain,(
% 0.09/0.43 holds(on(c,d),s0)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.43 fof(f67,plain,(
% 0.09/0.43 holds(clear(a),s0)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.43 fof(f68,plain,(
% 0.09/0.43 holds(clear(b),s0)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.43 fof(f69,plain,(
% 0.09/0.43 holds(clear(c),s0)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.43 fof(f70,plain,(
% 0.09/0.43 holds(empty,s0)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.43 fof(f72,plain,(
% 0.09/0.43 ![X0]: (~holds(and(on(c,a),on(d,b)),X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.43 fof(f73,plain,(
% 0.09/0.43 ![X0]: (~holds(on(c,a),X0)|~holds(on(d,b),X0))),
% 0.09/0.43 inference(resolution,[status(thm)],[f72,f33])).
% 0.09/0.43 fof(f75,plain,(
% 0.09/0.43 ![X0]: (~holds(on(c,a),do(putdown(d,b),X0))|~holds(holding(d),X0)|~holds(clear(b),X0))),
% 0.09/0.43 inference(resolution,[status(thm)],[f73,f45])).
% 0.09/0.43 fof(f83,definition,(
% 0.09/0.43 sQ1_spl <=> (differ(c,table))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f85,plain,(
% 0.09/0.43 ~differ(c,table)|sQ1_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.43 fof(f87,plain,(
% 0.09/0.43 ![X0]: (~holds(holding(d),X0)|~holds(clear(b),X0)|~holds(on(c,a),X0))),
% 0.09/0.43 inference(resolution,[status(thm)],[f75,f49])).
% 0.09/0.43 fof(f96,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(b),do(pickup(d),X0))|~holds(on(c,a),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~differ(d,table))),
% 0.09/0.43 inference(resolution,[status(thm)],[f87,f35])).
% 0.09/0.43 fof(f97,definition,(
% 0.09/0.43 ![X0]: (sQ4_spl <=> (~holds(clear(b),do(pickup(d),X0))|~holds(on(c,a),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f98,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(b),do(pickup(d),X0))|~holds(on(c,a),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~sQ4_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.43 fof(f100,definition,(
% 0.09/0.43 sQ5_spl <=> (differ(d,table))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f102,plain,(
% 0.09/0.43 ~differ(d,table)|sQ5_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f100])).
% 0.09/0.43 fof(f103,plain,(
% 0.09/0.43 sQ4_spl|~sQ5_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f96,f97,f100])).
% 0.09/0.43 fof(f112,plain,(
% 0.09/0.43 $false|sQ1_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f85,f61])).
% 0.09/0.43 fof(f113,plain,(
% 0.09/0.43 sQ1_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f112])).
% 0.09/0.43 fof(f114,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(b),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,a),X0)|~differ(c,d)|~sQ4_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f98,f39])).
% 0.09/0.43 fof(f115,definition,(
% 0.09/0.43 ![X0]: (sQ8_spl <=> (~holds(clear(b),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,a),X0)))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f116,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(b),do(pickup(d),X0))|~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,a),X0)|~sQ8_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f115])).
% 0.09/0.43 fof(f118,definition,(
% 0.09/0.43 sQ9_spl <=> (differ(c,d))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f120,plain,(
% 0.09/0.43 ~differ(c,d)|sQ9_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f118])).
% 0.09/0.43 fof(f121,plain,(
% 0.09/0.43 sQ8_spl|~sQ9_spl|~sQ4_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f114,f115,f118,f97])).
% 0.09/0.43 fof(f122,plain,(
% 0.09/0.43 $false|sQ5_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f102,f62])).
% 0.09/0.43 fof(f123,plain,(
% 0.09/0.43 sQ5_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f122])).
% 0.09/0.43 fof(f129,definition,(
% 0.09/0.43 sQ11_spl <=> (differ(a,c))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f131,plain,(
% 0.09/0.43 ~differ(a,c)|sQ11_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f129])).
% 0.09/0.43 fof(f134,plain,(
% 0.09/0.43 $false|sQ11_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f131,f54])).
% 0.09/0.43 fof(f135,plain,(
% 0.09/0.43 sQ11_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f134])).
% 0.09/0.43 fof(f143,plain,(
% 0.09/0.43 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,a),X0)|~holds(clear(b),X0)|~differ(b,d)|~sQ8_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f116,f41])).
% 0.09/0.43 fof(f145,definition,(
% 0.09/0.43 ![X0]: (sQ12_spl <=> (~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,a),X0)|~holds(clear(b),X0)))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f146,plain,(
% 0.09/0.43 ![X0]: (~holds(empty,X0)|~holds(clear(d),X0)|~holds(on(c,a),X0)|~holds(clear(b),X0)|~sQ12_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f145])).
% 0.09/0.43 fof(f148,definition,(
% 0.09/0.43 sQ13_spl <=> (differ(b,d))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f150,plain,(
% 0.09/0.43 ~differ(b,d)|sQ13_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f148])).
% 0.09/0.43 fof(f151,plain,(
% 0.09/0.43 sQ12_spl|~sQ13_spl|~sQ8_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f143,f145,f148,f115])).
% 0.09/0.43 fof(f153,plain,(
% 0.09/0.43 $false|sQ9_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f120,f60])).
% 0.09/0.43 fof(f154,plain,(
% 0.09/0.43 sQ9_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f153])).
% 0.09/0.43 fof(f157,definition,(
% 0.09/0.43 sQ14_spl <=> (holds(clear(c),s0))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f159,plain,(
% 0.09/0.43 ~holds(clear(c),s0)|sQ14_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f157])).
% 0.09/0.43 fof(f163,definition,(
% 0.09/0.43 sQ16_spl <=> (holds(clear(a),s0))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f165,plain,(
% 0.09/0.43 ~holds(clear(a),s0)|sQ16_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f163])).
% 0.09/0.43 fof(f167,plain,(
% 0.09/0.43 $false|sQ16_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f165,f67])).
% 0.09/0.43 fof(f168,plain,(
% 0.09/0.43 sQ16_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f167])).
% 0.09/0.43 fof(f169,plain,(
% 0.09/0.43 $false|sQ14_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f159,f69])).
% 0.09/0.43 fof(f170,plain,(
% 0.09/0.43 sQ14_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f169])).
% 0.09/0.43 fof(f180,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~holds(clear(d),do(putdown(X0,X1),X2))|~holds(on(c,a),do(putdown(X0,X1),X2))|~holds(clear(b),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ12_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f146,f43])).
% 0.09/0.43 fof(f187,definition,(
% 0.09/0.43 sQ19_spl <=> (holds(clear(b),s0))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f189,plain,(
% 0.09/0.43 ~holds(clear(b),s0)|sQ19_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f187])).
% 0.09/0.43 fof(f191,plain,(
% 0.09/0.43 $false|sQ13_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f150,f58])).
% 0.09/0.43 fof(f192,plain,(
% 0.09/0.43 sQ13_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f191])).
% 0.09/0.43 fof(f193,plain,(
% 0.09/0.43 $false|sQ19_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f189,f68])).
% 0.09/0.43 fof(f194,plain,(
% 0.09/0.43 sQ19_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f193])).
% 0.09/0.43 fof(f199,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(c,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)),
% 0.09/0.43 inference(resolution,[status(thm)],[f180,f35])).
% 0.09/0.43 fof(f208,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(a),do(pickup(c),X0))|~sQ12_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f199,f45])).
% 0.09/0.43 fof(f209,definition,(
% 0.09/0.43 ![X0]: (sQ21_spl <=> (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(a),do(pickup(c),X0))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f210,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(a),do(pickup(c),X0))|~sQ21_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f209])).
% 0.09/0.43 fof(f212,plain,(
% 0.09/0.43 sQ21_spl|~sQ1_spl|~sQ12_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f208,f209,f83,f145])).
% 0.09/0.43 fof(f213,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(holding(c),do(pickup(c),X0))|~sQ21_spl)),
% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f210])).
% 0.09/0.43 fof(f222,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table)|~sQ21_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f213,f35])).
% 0.09/0.43 fof(f223,definition,(
% 0.09/0.43 ![X0]: (sQ23_spl <=> (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(c),X0)))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f224,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(c),X0)|~sQ23_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f223])).
% 0.09/0.43 fof(f226,plain,(
% 0.09/0.43 sQ23_spl|~sQ1_spl|~sQ21_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f222,f223,f83,f209])).
% 0.09/0.43 fof(f227,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~sQ23_spl)),
% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f224])).
% 0.09/0.43 fof(f254,definition,(
% 0.09/0.43 sQ29_spl <=> (differ(a,b))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f256,plain,(
% 0.09/0.43 ~differ(a,b)|sQ29_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f254])).
% 0.09/0.43 fof(f258,plain,(
% 0.09/0.43 $false|sQ29_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f256,f53])).
% 0.09/0.43 fof(f259,plain,(
% 0.09/0.43 sQ29_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f258])).
% 0.09/0.43 fof(f260,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~differ(d,a)|~sQ23_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f227,f51])).
% 0.09/0.43 fof(f261,definition,(
% 0.09/0.43 ![X0]: (sQ30_spl <=> (~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f262,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))|~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~sQ30_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f261])).
% 0.09/0.43 fof(f264,definition,(
% 0.09/0.43 sQ31_spl <=> (differ(d,a))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f266,plain,(
% 0.09/0.43 ~differ(d,a)|sQ31_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f264])).
% 0.09/0.43 fof(f267,plain,(
% 0.09/0.43 sQ30_spl|~sQ31_spl|~sQ23_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f260,f261,f264,f223])).
% 0.09/0.43 fof(f289,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~holds(clear(b),do(pickup(c),X0))|~differ(b,a)|~sQ30_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f262,f51])).
% 0.09/0.43 fof(f290,definition,(
% 0.09/0.43 ![X0]: (sQ34_spl <=> (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~holds(clear(b),do(pickup(c),X0))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f291,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(d),do(pickup(c),X0))|~holds(clear(b),do(pickup(c),X0))|~sQ34_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f290])).
% 0.09/0.43 fof(f293,definition,(
% 0.09/0.43 sQ35_spl <=> (differ(b,a))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f295,plain,(
% 0.09/0.43 ~differ(b,a)|sQ35_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f293])).
% 0.09/0.43 fof(f296,plain,(
% 0.09/0.43 sQ34_spl|~sQ35_spl|~sQ30_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f289,f290,f293,f261])).
% 0.09/0.43 fof(f297,plain,(
% 0.09/0.43 ~differ(a,d)|sQ31_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f266,f52])).
% 0.09/0.43 fof(f298,plain,(
% 0.09/0.43 $false|sQ31_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f297,f55])).
% 0.09/0.43 fof(f299,plain,(
% 0.09/0.43 sQ31_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f298])).
% 0.09/0.43 fof(f367,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(b),do(pickup(c),X0))|~holds(on(c,d),X0)|~holds(clear(c),X0)|~holds(empty,X0)|~sQ34_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f291,f37])).
% 0.09/0.43 fof(f374,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(clear(b),do(pickup(c),X0))|~holds(on(c,d),X0)|~sQ34_spl)),
% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f367])).
% 0.09/0.43 fof(f378,definition,(
% 0.09/0.43 sQ48_spl <=> (differ(b,c))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f380,plain,(
% 0.09/0.43 ~differ(b,c)|sQ48_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f378])).
% 0.09/0.43 fof(f438,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~differ(b,c)|~sQ34_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f374,f41])).
% 0.09/0.43 fof(f440,definition,(
% 0.09/0.43 ![X0]: (sQ55_spl <=> (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f441,plain,(
% 0.09/0.43 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~sQ55_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f440])).
% 0.09/0.43 fof(f443,plain,(
% 0.09/0.43 sQ55_spl|~sQ48_spl|~sQ34_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f438,f440,f378,f290])).
% 0.09/0.43 fof(f445,plain,(
% 0.09/0.43 $false|sQ48_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f380,f57])).
% 0.09/0.43 fof(f446,plain,(
% 0.09/0.43 sQ48_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f445])).
% 0.09/0.43 fof(f562,plain,(
% 0.09/0.43 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)|~differ(a,c)|~sQ55_spl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f441,f41])).
% 0.09/0.43 fof(f564,definition,(
% 0.09/0.43 ![X0]: (sQ72_spl <=> (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f565,plain,(
% 0.09/0.43 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)|~sQ72_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f564])).
% 0.09/0.43 fof(f567,plain,(
% 0.09/0.43 sQ72_spl|~sQ11_spl|~sQ55_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f562,f564,f129,f440])).
% 0.09/0.43 fof(f583,plain,(
% 0.09/0.43 ~holds(clear(c),s0)|~holds(on(c,d),s0)|~holds(clear(b),s0)|~holds(clear(a),s0)|~sQ72_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f565,f70])).
% 0.09/0.43 fof(f585,definition,(
% 0.09/0.43 sQ75_spl <=> (holds(on(c,d),s0))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f587,plain,(
% 0.09/0.43 ~holds(on(c,d),s0)|sQ75_spl),
% 0.09/0.43 inference(component_clause,[status(thm)],[f585])).
% 0.09/0.43 fof(f588,plain,(
% 0.09/0.43 ~sQ14_spl|~sQ75_spl|~sQ19_spl|~sQ16_spl|~sQ72_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f583,f157,f585,f187,f163,f564])).
% 0.09/0.43 fof(f589,plain,(
% 0.09/0.43 $false|sQ75_spl),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f587,f65])).
% 0.09/0.43 fof(f590,plain,(
% 0.09/0.43 sQ75_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f589])).
% 0.09/0.43 fof(f591,plain,(
% 0.09/0.43 ~differ(a,b)|sQ35_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f295,f52])).
% 0.09/0.43 fof(f592,plain,(
% 0.09/0.43 ~sQ29_spl|sQ35_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f591,f254,f293])).
% 0.09/0.43 fof(f593,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(sat_refutation,[status(thm)],[f103,f113,f121,f123,f135,f151,f154,f168,f170,f192,f194,f212,f226,f259,f267,f296,f299,f443,f446,f567,f588,f590,f592])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.068860 seconds
% 0.09/0.44 % CPU time: 0.306427 seconds
% 0.09/0.44 % Total memory used: 64.358 MB
% 0.09/0.44 % Net memory used: 63.632 MB
%------------------------------------------------------------------------------