%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA021-1 : 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 : n026.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 01:58:41 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PLA021-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 03:34:51 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.52 % Refutation found
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.52 fof(f1,axiom,(
% 0.18/0.52 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f2,axiom,(
% 0.18/0.52 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f3,axiom,(
% 0.18/0.52 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f4,axiom,(
% 0.18/0.52 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f5,axiom,(
% 0.18/0.52 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f6,axiom,(
% 0.18/0.52 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f7,axiom,(
% 0.18/0.52 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f9,axiom,(
% 0.18/0.52 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f10,axiom,(
% 0.18/0.52 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f11,axiom,(
% 0.18/0.52 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f12,axiom,(
% 0.18/0.52 differ(a,b) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f13,axiom,(
% 0.18/0.52 differ(a,c) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f14,axiom,(
% 0.18/0.52 differ(a,d) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f16,axiom,(
% 0.18/0.52 differ(b,c) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f17,axiom,(
% 0.18/0.52 differ(b,d) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f18,axiom,(
% 0.18/0.52 differ(b,table) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f20,axiom,(
% 0.18/0.52 differ(c,table) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f24,axiom,(
% 0.18/0.52 holds(on(c,d),s0) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f26,axiom,(
% 0.18/0.52 holds(clear(a),s0) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f27,axiom,(
% 0.18/0.52 holds(clear(b),s0) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f28,axiom,(
% 0.18/0.52 holds(clear(c),s0) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f29,axiom,(
% 0.18/0.52 holds(empty,s0) ),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f31,negated_conjecture,(
% 0.18/0.52 (![State]: (~ holds(and(on(b,d),on(c,a)),State) ))),
% 0.18/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f32,plain,(
% 0.18/0.52 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f1])).
% 0.18/0.52 fof(f33,plain,(
% 0.18/0.52 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.52 fof(f34,plain,(
% 0.18/0.52 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f2])).
% 0.18/0.52 fof(f35,plain,(
% 0.18/0.52 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.52 fof(f36,plain,(
% 0.18/0.52 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f3])).
% 0.18/0.52 fof(f37,plain,(
% 0.18/0.52 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f36])).
% 0.18/0.52 fof(f38,plain,(
% 0.18/0.52 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f4])).
% 0.18/0.52 fof(f39,plain,(
% 0.18/0.52 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f38])).
% 0.18/0.52 fof(f40,plain,(
% 0.18/0.52 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f5])).
% 0.18/0.52 fof(f41,plain,(
% 0.18/0.52 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.52 fof(f42,plain,(
% 0.18/0.52 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f6])).
% 0.18/0.52 fof(f43,plain,(
% 0.18/0.52 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f42])).
% 0.18/0.52 fof(f44,plain,(
% 0.18/0.52 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f7])).
% 0.18/0.52 fof(f45,plain,(
% 0.18/0.52 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f44])).
% 0.18/0.52 fof(f48,plain,(
% 0.18/0.52 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f9])).
% 0.18/0.52 fof(f49,plain,(
% 0.18/0.52 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f48])).
% 0.18/0.52 fof(f50,plain,(
% 0.18/0.52 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.18/0.52 inference(miniscoping,[status(thm)],[f10])).
% 0.18/0.52 fof(f51,plain,(
% 0.18/0.52 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f50])).
% 0.18/0.52 fof(f52,plain,(
% 0.18/0.52 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.52 fof(f53,plain,(
% 0.18/0.52 differ(a,b)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.52 fof(f54,plain,(
% 0.18/0.52 differ(a,c)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f13])).
% 0.18/0.52 fof(f55,plain,(
% 0.18/0.52 differ(a,d)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.18/0.52 fof(f57,plain,(
% 0.18/0.52 differ(b,c)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.52 fof(f58,plain,(
% 0.18/0.52 differ(b,d)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.52 fof(f59,plain,(
% 0.18/0.52 differ(b,table)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f18])).
% 0.18/0.52 fof(f61,plain,(
% 0.18/0.52 differ(c,table)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.18/0.52 fof(f65,plain,(
% 0.18/0.52 holds(on(c,d),s0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f24])).
% 0.18/0.52 fof(f67,plain,(
% 0.18/0.52 holds(clear(a),s0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f26])).
% 0.18/0.52 fof(f68,plain,(
% 0.18/0.52 holds(clear(b),s0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.52 fof(f69,plain,(
% 0.18/0.52 holds(clear(c),s0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.18/0.52 fof(f70,plain,(
% 0.18/0.52 holds(empty,s0)),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f29])).
% 0.18/0.52 fof(f72,plain,(
% 0.18/0.52 ![X0]: (~holds(and(on(b,d),on(c,a)),X0))),
% 0.18/0.52 inference(cnf_transformation,[status(thm)],[f31])).
% 0.18/0.52 fof(f73,plain,(
% 0.18/0.52 ![X0]: (~holds(on(b,d),X0)|~holds(on(c,a),X0))),
% 0.18/0.52 inference(resolution,[status(thm)],[f72,f33])).
% 0.18/0.52 fof(f74,plain,(
% 0.18/0.52 ![X0,X1,X2]: (~holds(on(b,d),do(putdown(X0,X1),X2))|~holds(on(c,a),X2))),
% 0.18/0.52 inference(resolution,[status(thm)],[f73,f49])).
% 0.18/0.52 fof(f78,plain,(
% 0.18/0.52 ![X0]: (~holds(on(c,a),X0)|~holds(holding(b),X0)|~holds(clear(d),X0))),
% 0.18/0.52 inference(resolution,[status(thm)],[f74,f45])).
% 0.18/0.52 fof(f79,plain,(
% 0.18/0.52 ![X0]: (~holds(on(c,a),do(pickup(b),X0))|~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table))),
% 0.18/0.52 inference(resolution,[status(thm)],[f78,f35])).
% 0.18/0.52 fof(f80,definition,(
% 0.18/0.52 ![X0]: (sQ0_spl <=> (~holds(on(c,a),do(pickup(b),X0))|~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f81,plain,(
% 0.18/0.52 ![X0]: (~holds(on(c,a),do(pickup(b),X0))|~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~sQ0_spl)),
% 0.18/0.52 inference(component_clause,[status(thm)],[f80])).
% 0.18/0.52 fof(f83,definition,(
% 0.18/0.52 sQ1_spl <=> (differ(b,table))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f85,plain,(
% 0.18/0.52 ~differ(b,table)|sQ1_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f83])).
% 0.18/0.52 fof(f86,plain,(
% 0.18/0.52 sQ0_spl|~sQ1_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f79,f80,f83])).
% 0.18/0.52 fof(f100,definition,(
% 0.18/0.52 sQ5_spl <=> (differ(c,table))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f102,plain,(
% 0.18/0.52 ~differ(c,table)|sQ5_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f100])).
% 0.18/0.52 fof(f104,plain,(
% 0.18/0.52 ![X0]: (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(on(c,a),X0)|~differ(c,b)|~sQ0_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f81,f39])).
% 0.18/0.52 fof(f105,definition,(
% 0.18/0.52 ![X0]: (sQ6_spl <=> (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(on(c,a),X0)))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f106,plain,(
% 0.18/0.52 ![X0]: (~holds(clear(d),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(on(c,a),X0)|~sQ6_spl)),
% 0.18/0.52 inference(component_clause,[status(thm)],[f105])).
% 0.18/0.52 fof(f108,definition,(
% 0.18/0.52 sQ7_spl <=> (differ(c,b))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f110,plain,(
% 0.18/0.52 ~differ(c,b)|sQ7_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f108])).
% 0.18/0.52 fof(f111,plain,(
% 0.18/0.52 sQ6_spl|~sQ7_spl|~sQ0_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f104,f105,f108,f80])).
% 0.18/0.52 fof(f112,plain,(
% 0.18/0.52 $false|sQ1_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f85,f59])).
% 0.18/0.52 fof(f113,plain,(
% 0.18/0.52 sQ1_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f112])).
% 0.18/0.52 fof(f118,definition,(
% 0.18/0.52 sQ9_spl <=> (differ(b,c))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f120,plain,(
% 0.18/0.52 ~differ(b,c)|sQ9_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f118])).
% 0.18/0.52 fof(f122,plain,(
% 0.18/0.52 $false|sQ5_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f102,f61])).
% 0.18/0.52 fof(f123,plain,(
% 0.18/0.52 sQ5_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f122])).
% 0.18/0.52 fof(f124,plain,(
% 0.18/0.52 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(on(c,a),X0)|~holds(clear(d),X0)|~differ(d,b)|~sQ6_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f106,f41])).
% 0.18/0.52 fof(f126,definition,(
% 0.18/0.52 ![X0]: (sQ10_spl <=> (~holds(empty,X0)|~holds(clear(b),X0)|~holds(on(c,a),X0)|~holds(clear(d),X0)))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f127,plain,(
% 0.18/0.52 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(on(c,a),X0)|~holds(clear(d),X0)|~sQ10_spl)),
% 0.18/0.52 inference(component_clause,[status(thm)],[f126])).
% 0.18/0.52 fof(f129,definition,(
% 0.18/0.52 sQ11_spl <=> (differ(d,b))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f131,plain,(
% 0.18/0.52 ~differ(d,b)|sQ11_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f129])).
% 0.18/0.52 fof(f132,plain,(
% 0.18/0.52 sQ10_spl|~sQ11_spl|~sQ6_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f124,f126,f129,f105])).
% 0.18/0.52 fof(f138,plain,(
% 0.18/0.52 ~differ(b,c)|sQ7_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f110,f52])).
% 0.18/0.52 fof(f139,plain,(
% 0.18/0.52 $false|sQ7_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f138,f57])).
% 0.18/0.52 fof(f140,plain,(
% 0.18/0.52 sQ7_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f139])).
% 0.18/0.52 fof(f146,definition,(
% 0.18/0.52 sQ13_spl <=> (differ(a,c))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f148,plain,(
% 0.18/0.52 ~differ(a,c)|sQ13_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f146])).
% 0.18/0.52 fof(f151,plain,(
% 0.18/0.52 $false|sQ9_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f120,f57])).
% 0.18/0.52 fof(f152,plain,(
% 0.18/0.52 sQ9_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f151])).
% 0.18/0.52 fof(f154,plain,(
% 0.18/0.52 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),X2))|~holds(on(c,a),do(putdown(X0,X1),X2))|~holds(clear(d),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ10_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f127,f43])).
% 0.18/0.52 fof(f155,definition,(
% 0.18/0.52 sQ14_spl <=> (holds(clear(b),s0))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f157,plain,(
% 0.18/0.52 ~holds(clear(b),s0)|sQ14_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f155])).
% 0.18/0.52 fof(f173,plain,(
% 0.18/0.52 ~differ(b,d)|sQ11_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f131,f52])).
% 0.18/0.52 fof(f174,plain,(
% 0.18/0.52 $false|sQ11_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f173,f58])).
% 0.18/0.52 fof(f175,plain,(
% 0.18/0.52 sQ11_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f174])).
% 0.18/0.52 fof(f178,definition,(
% 0.18/0.52 sQ17_spl <=> (holds(clear(c),s0))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f180,plain,(
% 0.18/0.52 ~holds(clear(c),s0)|sQ17_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f178])).
% 0.18/0.52 fof(f184,definition,(
% 0.18/0.52 sQ19_spl <=> (holds(clear(a),s0))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f186,plain,(
% 0.18/0.52 ~holds(clear(a),s0)|sQ19_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f184])).
% 0.18/0.52 fof(f188,plain,(
% 0.18/0.52 $false|sQ13_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f148,f54])).
% 0.18/0.52 fof(f189,plain,(
% 0.18/0.52 sQ13_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f188])).
% 0.18/0.52 fof(f190,plain,(
% 0.18/0.52 $false|sQ19_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f186,f67])).
% 0.18/0.52 fof(f191,plain,(
% 0.18/0.52 sQ19_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f190])).
% 0.18/0.52 fof(f192,plain,(
% 0.18/0.52 $false|sQ17_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f180,f69])).
% 0.18/0.52 fof(f193,plain,(
% 0.18/0.52 sQ17_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f192])).
% 0.18/0.52 fof(f200,plain,(
% 0.18/0.52 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(c,a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(clear(d),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)|~sQ10_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f154,f35])).
% 0.18/0.52 fof(f204,plain,(
% 0.18/0.52 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(c,a),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)|~holds(clear(d),do(pickup(X0),X2))|~differ(d,X1)|~sQ10_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f200,f51])).
% 0.18/0.52 fof(f231,plain,(
% 0.18/0.52 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(c,a),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)|~differ(d,X1)|~holds(on(X0,d),X2)|~holds(clear(X0),X2)|~holds(empty,X2)|~sQ10_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f204,f37])).
% 0.18/0.52 fof(f232,plain,(
% 0.18/0.52 ![X0,X1,X2]: (~holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(c,a),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)|~differ(d,X1)|~holds(on(X0,d),X2)|~sQ10_spl)),
% 0.18/0.52 inference(duplicate_literals_removal,[status(thm)],[f231])).
% 0.18/0.52 fof(f238,definition,(
% 0.18/0.52 sQ25_spl <=> (differ(d,a))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f240,plain,(
% 0.18/0.52 ~differ(d,a)|sQ25_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f238])).
% 0.18/0.52 fof(f247,plain,(
% 0.18/0.52 ~differ(a,d)|sQ25_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f240,f52])).
% 0.18/0.52 fof(f248,plain,(
% 0.18/0.52 $false|sQ25_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f247,f55])).
% 0.18/0.52 fof(f249,plain,(
% 0.18/0.52 sQ25_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f248])).
% 0.18/0.52 fof(f293,plain,(
% 0.18/0.52 ![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)|~differ(d,a)|~holds(on(c,d),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(a),do(pickup(c),X0))|~sQ10_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f232,f45])).
% 0.18/0.52 fof(f294,definition,(
% 0.18/0.52 ![X0]: (sQ34_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(on(c,d),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(a),do(pickup(c),X0))))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f295,plain,(
% 0.18/0.52 ![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(on(c,d),X0)|~holds(holding(c),do(pickup(c),X0))|~holds(clear(a),do(pickup(c),X0))|~sQ34_spl)),
% 0.18/0.52 inference(component_clause,[status(thm)],[f294])).
% 0.18/0.52 fof(f297,plain,(
% 0.18/0.52 sQ34_spl|~sQ5_spl|~sQ25_spl|~sQ10_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f293,f294,f100,f238,f126])).
% 0.18/0.52 fof(f298,plain,(
% 0.18/0.52 ![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(on(c,d),X0)|~holds(holding(c),do(pickup(c),X0))|~sQ34_spl)),
% 0.18/0.52 inference(duplicate_literals_removal,[status(thm)],[f295])).
% 0.18/0.52 fof(f365,plain,(
% 0.18/0.52 ![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(on(c,d),X0)|~holds(empty,X0)|~holds(clear(c),X0)|~differ(c,table)|~sQ34_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f298,f35])).
% 0.18/0.52 fof(f366,definition,(
% 0.18/0.52 ![X0]: (sQ45_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(on(c,d),X0)|~holds(empty,X0)|~holds(clear(c),X0)))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f367,plain,(
% 0.18/0.52 ![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(on(c,d),X0)|~holds(empty,X0)|~holds(clear(c),X0)|~sQ45_spl)),
% 0.18/0.52 inference(component_clause,[status(thm)],[f366])).
% 0.18/0.52 fof(f369,plain,(
% 0.18/0.52 sQ45_spl|~sQ5_spl|~sQ34_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f365,f366,f100,f294])).
% 0.18/0.52 fof(f370,plain,(
% 0.18/0.52 ![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(on(c,d),X0)|~sQ45_spl)),
% 0.18/0.52 inference(duplicate_literals_removal,[status(thm)],[f367])).
% 0.18/0.52 fof(f375,definition,(
% 0.18/0.52 sQ47_spl <=> (differ(b,a))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f377,plain,(
% 0.18/0.52 ~differ(b,a)|sQ47_spl),
% 0.18/0.52 inference(component_clause,[status(thm)],[f375])).
% 0.18/0.52 fof(f392,plain,(
% 0.18/0.52 ~differ(a,b)|sQ47_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f377,f52])).
% 0.18/0.52 fof(f393,plain,(
% 0.18/0.52 $false|sQ47_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f392,f53])).
% 0.18/0.52 fof(f394,plain,(
% 0.18/0.52 sQ47_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f393])).
% 0.18/0.52 fof(f433,plain,(
% 0.18/0.52 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),do(pickup(c),X0))|~differ(b,a)|~sQ45_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f370,f51])).
% 0.18/0.52 fof(f434,definition,(
% 0.18/0.52 ![X0]: (sQ57_spl <=> (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),do(pickup(c),X0))))),
% 0.18/0.52 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.18/0.52 fof(f435,plain,(
% 0.18/0.52 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),do(pickup(c),X0))|~sQ57_spl)),
% 0.18/0.52 inference(component_clause,[status(thm)],[f434])).
% 0.18/0.52 fof(f437,plain,(
% 0.18/0.52 sQ57_spl|~sQ47_spl|~sQ45_spl),
% 0.18/0.52 inference(split_clause,[status(thm)],[f433,f434,f375,f366])).
% 0.18/0.52 fof(f504,plain,(
% 0.18/0.52 ![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)|~sQ57_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f435,f41])).
% 0.18/0.52 fof(f506,definition,(
% 0.18/0.52 ![X0]: (sQ64_spl <=> (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)))),
% 0.41/0.53 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.41/0.53 fof(f507,plain,(
% 0.41/0.53 ![X0]: (~holds(clear(a),do(pickup(c),X0))|~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~sQ64_spl)),
% 0.41/0.53 inference(component_clause,[status(thm)],[f506])).
% 0.41/0.53 fof(f509,plain,(
% 0.41/0.53 sQ64_spl|~sQ9_spl|~sQ57_spl),
% 0.41/0.53 inference(split_clause,[status(thm)],[f504,f506,f118,f434])).
% 0.41/0.53 fof(f594,plain,(
% 0.41/0.53 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)|~differ(a,c)|~sQ64_spl)),
% 0.41/0.53 inference(resolution,[status(thm)],[f507,f41])).
% 0.41/0.53 fof(f596,definition,(
% 0.41/0.53 ![X0]: (sQ77_spl <=> (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)))),
% 0.41/0.53 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.41/0.53 fof(f597,plain,(
% 0.41/0.53 ![X0]: (~holds(empty,X0)|~holds(clear(c),X0)|~holds(on(c,d),X0)|~holds(clear(b),X0)|~holds(clear(a),X0)|~sQ77_spl)),
% 0.41/0.53 inference(component_clause,[status(thm)],[f596])).
% 0.41/0.53 fof(f599,plain,(
% 0.41/0.53 sQ77_spl|~sQ13_spl|~sQ64_spl),
% 0.41/0.53 inference(split_clause,[status(thm)],[f594,f596,f146,f506])).
% 0.41/0.53 fof(f617,plain,(
% 0.41/0.53 ~holds(clear(c),s0)|~holds(on(c,d),s0)|~holds(clear(b),s0)|~holds(clear(a),s0)|~sQ77_spl),
% 0.41/0.53 inference(resolution,[status(thm)],[f597,f70])).
% 0.41/0.53 fof(f619,definition,(
% 0.41/0.53 sQ81_spl <=> (holds(on(c,d),s0))),
% 0.41/0.53 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.41/0.53 fof(f621,plain,(
% 0.41/0.53 ~holds(on(c,d),s0)|sQ81_spl),
% 0.41/0.53 inference(component_clause,[status(thm)],[f619])).
% 0.41/0.53 fof(f622,plain,(
% 0.41/0.53 ~sQ17_spl|~sQ81_spl|~sQ14_spl|~sQ19_spl|~sQ77_spl),
% 0.41/0.53 inference(split_clause,[status(thm)],[f617,f178,f619,f155,f184,f596])).
% 0.41/0.53 fof(f623,plain,(
% 0.41/0.53 $false|sQ14_spl),
% 0.41/0.53 inference(forward_subsumption_resolution,[status(thm)],[f157,f68])).
% 0.41/0.53 fof(f624,plain,(
% 0.41/0.53 sQ14_spl),
% 0.41/0.53 inference(contradiction_clause,[status(thm)],[f623])).
% 0.41/0.53 fof(f625,plain,(
% 0.41/0.53 $false|sQ81_spl),
% 0.41/0.53 inference(forward_subsumption_resolution,[status(thm)],[f621,f65])).
% 0.41/0.53 fof(f626,plain,(
% 0.41/0.53 sQ81_spl),
% 0.41/0.53 inference(contradiction_clause,[status(thm)],[f625])).
% 0.41/0.53 fof(f627,plain,(
% 0.41/0.53 $false),
% 0.41/0.53 inference(sat_refutation,[status(thm)],[f86,f111,f113,f123,f132,f140,f152,f175,f189,f191,f193,f249,f297,f369,f394,f437,f509,f599,f622,f624,f626])).
% 0.41/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.41/0.59 % Elapsed time: 0.141703 seconds
% 0.41/0.59 % CPU time: 0.486188 seconds
% 0.41/0.59 % Total memory used: 64.219 MB
% 0.41/0.59 % Net memory used: 63.652 MB
%------------------------------------------------------------------------------