%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA009-2 : 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 : n018.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 0.14s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA009-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n018.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 03:33:44 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.14/0.58 % Drodi V4.1.1
% 0.14/0.61 % Refutation found
% 0.14/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.61 fof(f1,axiom,(
% 0.14/0.61 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f2,axiom,(
% 0.14/0.61 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f3,axiom,(
% 0.14/0.61 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f4,axiom,(
% 0.14/0.61 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f5,axiom,(
% 0.14/0.61 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f6,axiom,(
% 0.14/0.61 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f7,axiom,(
% 0.14/0.61 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f9,axiom,(
% 0.14/0.61 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f10,axiom,(
% 0.14/0.61 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f11,axiom,(
% 0.14/0.61 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f12,axiom,(
% 0.14/0.61 differ(a,b) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f13,axiom,(
% 0.14/0.61 differ(a,c) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f15,axiom,(
% 0.14/0.61 differ(a,table) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f16,axiom,(
% 0.14/0.61 differ(b,c) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f24,axiom,(
% 0.14/0.61 holds(on(c,d),s0) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f26,axiom,(
% 0.14/0.61 holds(clear(a),s0) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f27,axiom,(
% 0.14/0.61 holds(clear(b),s0) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f28,axiom,(
% 0.14/0.61 holds(clear(c),s0) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f29,axiom,(
% 0.14/0.61 holds(empty,s0) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f31,negated_conjecture,(
% 0.14/0.61 (![State]: (~ holds(and(clear(d),on(a,b)),State) ))),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f32,plain,(
% 0.14/0.61 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.61 fof(f33,plain,(
% 0.14/0.61 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.61 fof(f34,plain,(
% 0.14/0.61 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.61 fof(f35,plain,(
% 0.14/0.61 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.61 fof(f36,plain,(
% 0.14/0.61 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.61 fof(f37,plain,(
% 0.14/0.61 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.61 fof(f38,plain,(
% 0.14/0.61 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.61 fof(f39,plain,(
% 0.14/0.61 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.61 fof(f40,plain,(
% 0.14/0.61 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.61 fof(f41,plain,(
% 0.14/0.61 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.61 fof(f42,plain,(
% 0.14/0.61 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.61 fof(f43,plain,(
% 0.14/0.61 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.61 fof(f44,plain,(
% 0.14/0.61 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.61 fof(f45,plain,(
% 0.14/0.61 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.61 fof(f48,plain,(
% 0.14/0.61 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.61 fof(f49,plain,(
% 0.14/0.61 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.61 fof(f50,plain,(
% 0.14/0.61 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.14/0.61 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.61 fof(f51,plain,(
% 0.14/0.61 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.61 fof(f52,plain,(
% 0.14/0.61 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.61 fof(f53,plain,(
% 0.14/0.61 differ(a,b)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.61 fof(f54,plain,(
% 0.14/0.61 differ(a,c)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.61 fof(f56,plain,(
% 0.14/0.61 differ(a,table)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.61 fof(f57,plain,(
% 0.14/0.61 differ(b,c)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.61 fof(f65,plain,(
% 0.14/0.61 holds(on(c,d),s0)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.61 fof(f67,plain,(
% 0.14/0.61 holds(clear(a),s0)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.61 fof(f68,plain,(
% 0.14/0.61 holds(clear(b),s0)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.61 fof(f69,plain,(
% 0.14/0.61 holds(clear(c),s0)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.61 fof(f70,plain,(
% 0.14/0.61 holds(empty,s0)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.61 fof(f72,plain,(
% 0.14/0.61 ![X0]: (~holds(and(clear(d),on(a,b)),X0))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.61 fof(f73,plain,(
% 0.14/0.61 ![X0]: (~holds(clear(d),X0)|~holds(on(a,b),X0))),
% 0.14/0.61 inference(resolution,[status(thm)],[f72,f33])).
% 0.14/0.61 fof(f76,plain,(
% 0.14/0.61 ![X0,X1]: (~holds(clear(d),do(pickup(X0),X1))|~holds(on(a,b),X1)|~differ(a,X0))),
% 0.14/0.61 inference(resolution,[status(thm)],[f73,f39])).
% 0.14/0.61 fof(f103,plain,(
% 0.14/0.61 ![X0,X1]: (~holds(on(a,b),X0)|~differ(a,X1)|~holds(on(X1,d),X0)|~holds(clear(X1),X0)|~holds(empty,X0))),
% 0.14/0.61 inference(resolution,[status(thm)],[f76,f37])).
% 0.14/0.61 fof(f112,definition,(
% 0.14/0.61 sQ8_spl <=> (differ(a,table))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f114,plain,(
% 0.14/0.61 ~differ(a,table)|sQ8_spl),
% 0.14/0.61 inference(component_clause,[status(thm)],[f112])).
% 0.14/0.61 fof(f116,plain,(
% 0.14/0.61 $false|sQ8_spl),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f114,f56])).
% 0.14/0.61 fof(f117,plain,(
% 0.14/0.61 sQ8_spl),
% 0.14/0.61 inference(contradiction_clause,[status(thm)],[f116])).
% 0.14/0.61 fof(f119,plain,(
% 0.14/0.61 ![X0,X1,X2,X3]: (~holds(on(a,b),do(putdown(X0,X1),X2))|~differ(a,X3)|~holds(on(X3,d),do(putdown(X0,X1),X2))|~holds(clear(X3),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.14/0.61 inference(resolution,[status(thm)],[f103,f43])).
% 0.14/0.61 fof(f152,plain,(
% 0.14/0.61 ![X0,X1,X2,X3]: (~holds(on(a,b),do(putdown(X0,X1),do(pickup(X0),X2)))|~differ(a,X3)|~holds(on(X3,d),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(X3),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))),
% 0.14/0.61 inference(resolution,[status(thm)],[f119,f35])).
% 0.14/0.61 fof(f158,definition,(
% 0.14/0.61 sQ16_spl <=> (differ(b,a))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f160,plain,(
% 0.14/0.61 ~differ(b,a)|sQ16_spl),
% 0.14/0.61 inference(component_clause,[status(thm)],[f158])).
% 0.14/0.61 fof(f176,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~differ(a,table)|~holds(holding(a),do(pickup(a),X1))|~holds(clear(b),do(pickup(a),X1)))),
% 0.14/0.61 inference(resolution,[status(thm)],[f152,f45])).
% 0.14/0.61 fof(f177,definition,(
% 0.14/0.61 ![X0,X1]: (sQ18_spl <=> (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(holding(a),do(pickup(a),X1))|~holds(clear(b),do(pickup(a),X1))))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f178,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(holding(a),do(pickup(a),X1))|~holds(clear(b),do(pickup(a),X1))|~sQ18_spl)),
% 0.14/0.61 inference(component_clause,[status(thm)],[f177])).
% 0.14/0.61 fof(f180,plain,(
% 0.14/0.61 sQ18_spl|~sQ8_spl),
% 0.14/0.61 inference(split_clause,[status(thm)],[f176,f177,f112])).
% 0.14/0.61 fof(f181,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(holding(a),do(pickup(a),X1))|~sQ18_spl)),
% 0.14/0.61 inference(duplicate_literals_removal,[status(thm)],[f178])).
% 0.14/0.61 fof(f182,plain,(
% 0.14/0.61 ~differ(a,b)|sQ16_spl),
% 0.14/0.61 inference(resolution,[status(thm)],[f160,f52])).
% 0.14/0.61 fof(f183,plain,(
% 0.14/0.61 $false|sQ16_spl),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f182,f53])).
% 0.14/0.61 fof(f184,plain,(
% 0.14/0.61 sQ16_spl),
% 0.14/0.61 inference(contradiction_clause,[status(thm)],[f183])).
% 0.14/0.61 fof(f191,definition,(
% 0.14/0.61 sQ19_spl <=> (holds(clear(a),s0))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f193,plain,(
% 0.14/0.61 ~holds(clear(a),s0)|sQ19_spl),
% 0.14/0.61 inference(component_clause,[status(thm)],[f191])).
% 0.14/0.61 fof(f199,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(empty,X1)|~holds(clear(a),X1)|~differ(a,table)|~sQ18_spl)),
% 0.14/0.61 inference(resolution,[status(thm)],[f181,f35])).
% 0.14/0.61 fof(f200,definition,(
% 0.14/0.61 ![X0,X1]: (sQ21_spl <=> (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(empty,X1)|~holds(clear(a),X1)))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f201,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(empty,X1)|~holds(clear(a),X1)|~sQ21_spl)),
% 0.14/0.61 inference(component_clause,[status(thm)],[f200])).
% 0.14/0.61 fof(f203,plain,(
% 0.14/0.61 sQ21_spl|~sQ8_spl|~sQ18_spl),
% 0.14/0.61 inference(split_clause,[status(thm)],[f199,f200,f112,f177])).
% 0.14/0.61 fof(f204,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~sQ21_spl)),
% 0.14/0.61 inference(duplicate_literals_removal,[status(thm)],[f201])).
% 0.14/0.61 fof(f210,definition,(
% 0.14/0.61 sQ23_spl <=> (holds(clear(b),s0))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f212,plain,(
% 0.14/0.61 ~holds(clear(b),s0)|sQ23_spl),
% 0.14/0.61 inference(component_clause,[status(thm)],[f210])).
% 0.14/0.61 fof(f214,plain,(
% 0.14/0.61 $false|sQ19_spl),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f193,f67])).
% 0.14/0.61 fof(f215,plain,(
% 0.14/0.61 sQ19_spl),
% 0.14/0.61 inference(contradiction_clause,[status(thm)],[f214])).
% 0.14/0.61 fof(f219,plain,(
% 0.14/0.61 $false|sQ23_spl),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f212,f68])).
% 0.14/0.61 fof(f220,plain,(
% 0.14/0.61 sQ23_spl),
% 0.14/0.61 inference(contradiction_clause,[status(thm)],[f219])).
% 0.14/0.61 fof(f225,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(on(X0,d),do(pickup(a),X1))|~sQ21_spl)),
% 0.14/0.61 inference(resolution,[status(thm)],[f204,f49])).
% 0.14/0.61 fof(f228,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(on(X0,d),X1)|~differ(X0,a)|~sQ21_spl)),
% 0.14/0.61 inference(resolution,[status(thm)],[f225,f39])).
% 0.14/0.61 fof(f229,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(clear(b),do(pickup(a),X1))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(on(X0,d),X1)|~sQ21_spl)),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f228,f52])).
% 0.14/0.61 fof(f247,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(on(X0,d),X1)|~holds(clear(b),X1)|~differ(b,a)|~sQ21_spl)),
% 0.14/0.61 inference(resolution,[status(thm)],[f229,f41])).
% 0.14/0.61 fof(f249,definition,(
% 0.14/0.61 ![X0,X1]: (sQ26_spl <=> (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(on(X0,d),X1)|~holds(clear(b),X1)))),
% 0.14/0.61 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.61 fof(f250,plain,(
% 0.14/0.61 ![X0,X1]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))|~holds(empty,X1)|~holds(clear(a),X1)|~holds(on(X0,d),X1)|~holds(clear(b),X1)|~sQ26_spl)),
% 0.14/0.62 inference(component_clause,[status(thm)],[f249])).
% 0.14/0.62 fof(f252,plain,(
% 0.14/0.62 sQ26_spl|~sQ16_spl|~sQ21_spl),
% 0.14/0.62 inference(split_clause,[status(thm)],[f247,f249,f158,f200])).
% 0.14/0.62 fof(f288,plain,(
% 0.14/0.62 ![X0]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))|~holds(clear(a),s0)|~holds(on(X0,d),s0)|~holds(clear(b),s0)|~sQ26_spl)),
% 0.14/0.62 inference(resolution,[status(thm)],[f250,f70])).
% 0.14/0.62 fof(f290,definition,(
% 0.14/0.62 ![X0]: (sQ32_spl <=> (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))|~holds(on(X0,d),s0)))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f291,plain,(
% 0.14/0.62 ![X0]: (~differ(a,X0)|~holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))|~holds(on(X0,d),s0)|~sQ32_spl)),
% 0.14/0.62 inference(component_clause,[status(thm)],[f290])).
% 0.14/0.62 fof(f293,plain,(
% 0.14/0.62 sQ32_spl|~sQ19_spl|~sQ23_spl|~sQ26_spl),
% 0.14/0.62 inference(split_clause,[status(thm)],[f288,f290,f191,f210,f249])).
% 0.14/0.62 fof(f296,plain,(
% 0.14/0.62 ~differ(a,c)|~holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))|~sQ32_spl),
% 0.14/0.62 inference(resolution,[status(thm)],[f291,f65])).
% 0.14/0.62 fof(f297,definition,(
% 0.14/0.62 sQ33_spl <=> (differ(a,c))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f299,plain,(
% 0.14/0.62 ~differ(a,c)|sQ33_spl),
% 0.14/0.62 inference(component_clause,[status(thm)],[f297])).
% 0.14/0.62 fof(f300,definition,(
% 0.14/0.62 sQ34_spl <=> (holds(clear(c),do(putdown(a,b),do(pickup(a),s0))))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f302,plain,(
% 0.14/0.62 ~holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))|sQ34_spl),
% 0.14/0.62 inference(component_clause,[status(thm)],[f300])).
% 0.14/0.62 fof(f303,plain,(
% 0.14/0.62 ~sQ33_spl|~sQ34_spl|~sQ32_spl),
% 0.14/0.62 inference(split_clause,[status(thm)],[f296,f297,f300,f290])).
% 0.14/0.62 fof(f304,plain,(
% 0.14/0.62 $false|sQ33_spl),
% 0.14/0.62 inference(forward_subsumption_resolution,[status(thm)],[f299,f54])).
% 0.14/0.62 fof(f305,plain,(
% 0.14/0.62 sQ33_spl),
% 0.14/0.62 inference(contradiction_clause,[status(thm)],[f304])).
% 0.14/0.62 fof(f318,plain,(
% 0.14/0.62 ~holds(clear(c),do(pickup(a),s0))|~differ(c,b)|sQ34_spl),
% 0.14/0.62 inference(resolution,[status(thm)],[f302,f51])).
% 0.14/0.62 fof(f319,definition,(
% 0.14/0.62 sQ37_spl <=> (holds(clear(c),do(pickup(a),s0)))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f321,plain,(
% 0.14/0.62 ~holds(clear(c),do(pickup(a),s0))|sQ37_spl),
% 0.14/0.62 inference(component_clause,[status(thm)],[f319])).
% 0.14/0.62 fof(f322,definition,(
% 0.14/0.62 sQ38_spl <=> (differ(c,b))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f324,plain,(
% 0.14/0.62 ~differ(c,b)|sQ38_spl),
% 0.14/0.62 inference(component_clause,[status(thm)],[f322])).
% 0.14/0.62 fof(f325,plain,(
% 0.14/0.62 ~sQ37_spl|~sQ38_spl|sQ34_spl),
% 0.14/0.62 inference(split_clause,[status(thm)],[f318,f319,f322,f300])).
% 0.14/0.62 fof(f335,plain,(
% 0.14/0.62 ~holds(clear(c),s0)|~differ(c,a)|sQ37_spl),
% 0.14/0.62 inference(resolution,[status(thm)],[f321,f41])).
% 0.14/0.62 fof(f337,definition,(
% 0.14/0.62 sQ40_spl <=> (holds(clear(c),s0))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f339,plain,(
% 0.14/0.62 ~holds(clear(c),s0)|sQ40_spl),
% 0.14/0.62 inference(component_clause,[status(thm)],[f337])).
% 0.14/0.62 fof(f340,definition,(
% 0.14/0.62 sQ41_spl <=> (differ(c,a))),
% 0.14/0.62 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.62 fof(f342,plain,(
% 0.14/0.62 ~differ(c,a)|sQ41_spl),
% 0.14/0.62 inference(component_clause,[status(thm)],[f340])).
% 0.14/0.62 fof(f343,plain,(
% 0.14/0.62 ~sQ40_spl|~sQ41_spl|sQ37_spl),
% 0.14/0.62 inference(split_clause,[status(thm)],[f335,f337,f340,f319])).
% 0.14/0.62 fof(f351,plain,(
% 0.14/0.62 $false|sQ40_spl),
% 0.14/0.62 inference(forward_subsumption_resolution,[status(thm)],[f339,f69])).
% 0.14/0.62 fof(f352,plain,(
% 0.14/0.62 sQ40_spl),
% 0.14/0.62 inference(contradiction_clause,[status(thm)],[f351])).
% 0.14/0.62 fof(f362,plain,(
% 0.14/0.62 ~differ(a,c)|sQ41_spl),
% 0.14/0.62 inference(resolution,[status(thm)],[f342,f52])).
% 0.14/0.62 fof(f363,plain,(
% 0.14/0.62 ~sQ33_spl|sQ41_spl),
% 0.14/0.62 inference(split_clause,[status(thm)],[f362,f297,f340])).
% 0.14/0.62 fof(f368,plain,(
% 0.14/0.62 ~differ(b,c)|sQ38_spl),
% 0.14/0.62 inference(resolution,[status(thm)],[f324,f52])).
% 0.14/0.62 fof(f369,plain,(
% 0.14/0.62 $false|sQ38_spl),
% 0.14/0.62 inference(forward_subsumption_resolution,[status(thm)],[f368,f57])).
% 0.14/0.62 fof(f370,plain,(
% 0.14/0.62 sQ38_spl),
% 0.14/0.62 inference(contradiction_clause,[status(thm)],[f369])).
% 0.14/0.62 fof(f371,plain,(
% 0.14/0.62 $false),
% 0.14/0.62 inference(sat_refutation,[status(thm)],[f117,f180,f184,f203,f215,f220,f252,f293,f303,f305,f325,f343,f352,f363,f370])).
% 0.14/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.64 % Elapsed time: 0.058843 seconds
% 0.14/0.64 % CPU time: 0.226509 seconds
% 0.14/0.64 % Total memory used: 61.106 MB
% 0.14/0.64 % Net memory used: 60.621 MB
%------------------------------------------------------------------------------