%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PLA014-2 : 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 : n011.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 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA014-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:32:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,axiom,(
% 0.14/0.40 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,axiom,(
% 0.14/0.40 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,axiom,(
% 0.14/0.40 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,axiom,(
% 0.14/0.40 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,axiom,(
% 0.14/0.40 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,axiom,(
% 0.14/0.40 differ(a,b) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,axiom,(
% 0.14/0.40 differ(a,c) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,axiom,(
% 0.14/0.40 differ(a,table) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,axiom,(
% 0.14/0.40 differ(b,c) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,axiom,(
% 0.14/0.40 differ(b,table) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,axiom,(
% 0.14/0.40 holds(clear(a),s0) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,axiom,(
% 0.14/0.40 holds(clear(b),s0) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,axiom,(
% 0.14/0.40 holds(clear(c),s0) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,axiom,(
% 0.14/0.40 holds(empty,s0) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f31,negated_conjecture,(
% 0.14/0.40 (![State]: (~ holds(and(on(b,c),on(a,b)),State) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.40 fof(f44,plain,(
% 0.14/0.40 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 differ(a,b)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 differ(a,c)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 differ(a,table)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 differ(b,c)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 differ(b,table)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 holds(clear(a),s0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 holds(clear(b),s0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 holds(clear(c),s0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f70,plain,(
% 0.14/0.40 holds(empty,s0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 ![X0]: (~holds(and(on(b,c),on(a,b)),X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 ![X0]: (~holds(on(b,c),X0)|~holds(on(a,b),X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f72,f33])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 ![X0]: (~holds(on(b,c),do(putdown(a,b),X0))|~holds(holding(a),X0)|~holds(clear(b),X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f73,f45])).
% 0.14/0.40 fof(f83,definition,(
% 0.14/0.40 sQ1_spl <=> (differ(b,table))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f85,plain,(
% 0.14/0.40 ~differ(b,table)|sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.40 fof(f87,plain,(
% 0.14/0.40 ![X0]: (~holds(holding(a),X0)|~holds(clear(b),X0)|~holds(on(b,c),X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f75,f49])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(on(b,c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~differ(a,table))),
% 0.14/0.40 inference(resolution,[status(thm)],[f87,f35])).
% 0.14/0.40 fof(f97,definition,(
% 0.14/0.40 ![X0]: (sQ4_spl <=> (~holds(clear(b),do(pickup(a),X0))|~holds(on(b,c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(on(b,c),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~sQ4_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f100,definition,(
% 0.14/0.40 sQ5_spl <=> (differ(a,table))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 ~differ(a,table)|sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.40 fof(f103,plain,(
% 0.14/0.40 sQ4_spl|~sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f96,f97,f100])).
% 0.14/0.40 fof(f108,definition,(
% 0.14/0.40 sQ7_spl <=> (differ(a,b))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 ~differ(a,b)|sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 $false|sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f85,f59])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f112])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,c),X0)|~differ(b,a)|~sQ4_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f98,f39])).
% 0.14/0.40 fof(f115,definition,(
% 0.14/0.40 ![X0]: (sQ8_spl <=> (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,c),X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(b),do(pickup(a),X0))|~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,c),X0)|~sQ8_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.40 fof(f118,definition,(
% 0.14/0.40 sQ9_spl <=> (differ(b,a))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 ~differ(b,a)|sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 sQ8_spl|~sQ9_spl|~sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f114,f115,f118,f97])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 $false|sQ5_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f102,f56])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 sQ5_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f122])).
% 0.14/0.40 fof(f129,definition,(
% 0.14/0.40 sQ11_spl <=> (differ(c,b))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 ~differ(c,b)|sQ11_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 $false|sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f110,f53])).
% 0.14/0.40 fof(f135,plain,(
% 0.14/0.40 sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f134])).
% 0.14/0.40 fof(f142,definition,(
% 0.14/0.40 sQ12_spl <=> (holds(clear(b),s0))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f144,plain,(
% 0.14/0.40 ~holds(clear(b),s0)|sQ12_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.40 fof(f148,definition,(
% 0.14/0.40 sQ14_spl <=> (holds(clear(c),s0))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f150,plain,(
% 0.14/0.40 ~holds(clear(c),s0)|sQ14_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f148])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 $false|sQ14_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f150,f69])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 sQ14_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f152])).
% 0.14/0.40 fof(f154,plain,(
% 0.14/0.40 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,c),X0)|~holds(clear(b),X0)|~differ(b,a)|~sQ8_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f116,f41])).
% 0.14/0.40 fof(f156,definition,(
% 0.14/0.40 ![X0]: (sQ15_spl <=> (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,c),X0)|~holds(clear(b),X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f157,plain,(
% 0.14/0.40 ![X0]: (~holds(empty,X0)|~holds(clear(a),X0)|~holds(on(b,c),X0)|~holds(clear(b),X0)|~sQ15_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f156])).
% 0.14/0.40 fof(f159,plain,(
% 0.14/0.40 sQ15_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f154,f156,f118,f115])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 ~differ(b,c)|sQ11_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f131,f52])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 $false|sQ11_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f165,f57])).
% 0.14/0.40 fof(f167,plain,(
% 0.14/0.40 sQ11_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f166])).
% 0.14/0.40 fof(f168,plain,(
% 0.14/0.40 $false|sQ12_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f144,f68])).
% 0.14/0.40 fof(f169,plain,(
% 0.14/0.40 sQ12_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f168])).
% 0.14/0.40 fof(f170,plain,(
% 0.14/0.40 ~differ(a,b)|sQ9_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f120,f52])).
% 0.14/0.40 fof(f171,plain,(
% 0.14/0.40 ~sQ7_spl|sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f170,f108,f118])).
% 0.14/0.40 fof(f180,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),X2))|~holds(on(b,c),do(putdown(X0,X1),X2))|~holds(clear(b),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2)|~sQ15_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f157,f43])).
% 0.14/0.40 fof(f181,definition,(
% 0.14/0.40 sQ16_spl <=> (holds(clear(a),s0))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f183,plain,(
% 0.14/0.40 ~holds(clear(a),s0)|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.40 fof(f188,plain,(
% 0.14/0.40 $false|sQ16_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f183,f67])).
% 0.14/0.40 fof(f189,plain,(
% 0.14/0.40 sQ16_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f188])).
% 0.14/0.40 fof(f191,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))|~holds(on(b,c),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)|~sQ15_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f180,f35])).
% 0.14/0.40 fof(f211,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~holds(holding(b),do(pickup(b),X0))|~holds(clear(c),do(pickup(b),X0))|~sQ15_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f191,f45])).
% 0.14/0.40 fof(f212,definition,(
% 0.14/0.40 ![X0]: (sQ21_spl <=> (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~holds(clear(c),do(pickup(b),X0))))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f213,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~holds(clear(c),do(pickup(b),X0))|~sQ21_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.40 fof(f215,plain,(
% 0.14/0.40 sQ21_spl|~sQ1_spl|~sQ15_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f211,f212,f83,f156])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~sQ21_spl)),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f213])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(holding(b),do(pickup(b),X0))|~sQ21_spl)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f216,f47])).
% 0.14/0.40 fof(f221,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~sQ21_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f217,f35])).
% 0.14/0.40 fof(f222,definition,(
% 0.14/0.40 ![X0]: (sQ22_spl <=> (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(b),X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(b),X0)|~sQ22_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f222])).
% 0.14/0.40 fof(f225,plain,(
% 0.14/0.40 sQ22_spl|~sQ1_spl|~sQ21_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f221,f222,f83,f212])).
% 0.14/0.40 fof(f226,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(a),do(putdown(b,c),do(pickup(b),X0)))|~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~sQ22_spl)),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f223])).
% 0.14/0.40 fof(f246,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(a),do(pickup(b),X0))|~differ(a,c)|~sQ22_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f226,f51])).
% 0.14/0.40 fof(f247,definition,(
% 0.14/0.40 ![X0]: (sQ26_spl <=> (~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(a),do(pickup(b),X0))))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 ![X0]: (~holds(clear(c),do(pickup(b),X0))|~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(a),do(pickup(b),X0))|~sQ26_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f247])).
% 0.14/0.40 fof(f250,definition,(
% 0.14/0.40 sQ27_spl <=> (differ(a,c))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f252,plain,(
% 0.14/0.40 ~differ(a,c)|sQ27_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f250])).
% 0.14/0.40 fof(f253,plain,(
% 0.14/0.40 sQ26_spl|~sQ27_spl|~sQ22_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f246,f247,f250,f222])).
% 0.14/0.40 fof(f261,plain,(
% 0.14/0.40 $false|sQ27_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f252,f54])).
% 0.14/0.40 fof(f262,plain,(
% 0.14/0.40 sQ27_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f261])).
% 0.14/0.40 fof(f264,plain,(
% 0.14/0.40 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(a),do(pickup(b),X0))|~holds(clear(c),X0)|~differ(c,b)|~sQ26_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f248,f41])).
% 0.14/0.40 fof(f266,definition,(
% 0.14/0.40 ![X0]: (sQ29_spl <=> (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(a),do(pickup(b),X0))|~holds(clear(c),X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f267,plain,(
% 0.14/0.40 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(a),do(pickup(b),X0))|~holds(clear(c),X0)|~sQ29_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f266])).
% 0.14/0.40 fof(f269,plain,(
% 0.14/0.40 sQ29_spl|~sQ11_spl|~sQ26_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f264,f266,f129,f247])).
% 0.14/0.40 fof(f288,plain,(
% 0.14/0.40 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~differ(a,b)|~sQ29_spl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f267,f41])).
% 0.14/0.40 fof(f290,definition,(
% 0.14/0.40 ![X0]: (sQ33_spl <=> (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f291,plain,(
% 0.14/0.40 ![X0]: (~holds(empty,X0)|~holds(clear(b),X0)|~holds(clear(c),X0)|~holds(clear(a),X0)|~sQ33_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f290])).
% 0.14/0.40 fof(f293,plain,(
% 0.14/0.40 sQ33_spl|~sQ7_spl|~sQ29_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f288,f290,f108,f266])).
% 0.14/0.40 fof(f306,plain,(
% 0.14/0.40 ~holds(clear(b),s0)|~holds(clear(c),s0)|~holds(clear(a),s0)|~sQ33_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f291,f70])).
% 0.14/0.40 fof(f308,plain,(
% 0.14/0.40 ~sQ12_spl|~sQ14_spl|~sQ16_spl|~sQ33_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f306,f142,f148,f181,f290])).
% 0.14/0.40 fof(f309,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f103,f113,f121,f123,f135,f153,f159,f167,f169,f171,f189,f215,f225,f253,f262,f269,f293,f308])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.058197 seconds
% 0.14/0.42 % CPU time: 0.184965 seconds
% 0.14/0.42 % Total memory used: 59.508 MB
% 0.14/0.42 % Net memory used: 59.116 MB
%------------------------------------------------------------------------------