TSTP Solution File: PLA015-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : PLA015-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:36:35 EDT 2024
% Result : Unsatisfiable 8.86s 1.48s
% Output : CNFRefutation 8.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PLA015-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:50:14 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 8.86/1.48 % Refutation found
% 8.86/1.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.86/1.48 % SZS output start CNFRefutation for theBenchmark
% 8.86/1.48 fof(f1,axiom,(
% 8.86/1.48 (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f2,axiom,(
% 8.86/1.48 (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f3,axiom,(
% 8.86/1.48 (![Y,X,State]: (( holds(clear(Y),do(pickup(X),State))| ~ holds(on(X,Y),State)| ~ holds(clear(X),State)| ~ holds(empty,State) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f4,axiom,(
% 8.86/1.48 (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f5,axiom,(
% 8.86/1.48 (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f6,axiom,(
% 8.86/1.48 (![X,Y,State]: (( holds(empty,do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f7,axiom,(
% 8.86/1.48 (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f8,axiom,(
% 8.86/1.48 (![X,Y,State]: (( holds(clear(X),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f9,axiom,(
% 8.86/1.48 (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f10,axiom,(
% 8.86/1.48 (![Z,X,Y,State]: (( holds(clear(Z),do(putdown(X,Y),State))| ~ holds(clear(Z),State)| ~ differ(Z,Y) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f11,axiom,(
% 8.86/1.48 (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f12,axiom,(
% 8.86/1.48 differ(a,b) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f13,axiom,(
% 8.86/1.48 differ(a,c) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f14,axiom,(
% 8.86/1.48 differ(a,d) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f15,axiom,(
% 8.86/1.48 differ(a,table) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f16,axiom,(
% 8.86/1.48 differ(b,c) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f17,axiom,(
% 8.86/1.48 differ(b,d) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f18,axiom,(
% 8.86/1.48 differ(b,table) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f20,axiom,(
% 8.86/1.48 differ(c,table) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f21,axiom,(
% 8.86/1.48 differ(d,table) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f24,axiom,(
% 8.86/1.48 holds(on(c,d),s0) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f26,axiom,(
% 8.86/1.48 holds(clear(a),s0) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f27,axiom,(
% 8.86/1.48 holds(clear(b),s0) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f28,axiom,(
% 8.86/1.48 holds(clear(c),s0) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f29,axiom,(
% 8.86/1.48 holds(empty,s0) ),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f30,axiom,(
% 8.86/1.48 (![State]: (holds(clear(table),State) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f31,negated_conjecture,(
% 8.86/1.48 (![State]: (~ holds(and(on(a,b),on(b,d)),State) ))),
% 8.86/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.86/1.48 fof(f32,plain,(
% 8.86/1.48 ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 8.86/1.48 inference(miniscoping,[status(esa)],[f1])).
% 8.86/1.48 fof(f33,plain,(
% 8.86/1.48 ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 8.86/1.48 inference(cnf_transformation,[status(esa)],[f32])).
% 8.86/1.48 fof(f34,plain,(
% 8.86/1.48 ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f2])).
% 8.86/1.49 fof(f35,plain,(
% 8.86/1.49 ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f34])).
% 8.86/1.49 fof(f36,plain,(
% 8.86/1.49 ![State]: ((![X]: ((![Y]: (holds(clear(Y),do(pickup(X),State))|~holds(on(X,Y),State)))|~holds(clear(X),State)))|~holds(empty,State))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f3])).
% 8.86/1.49 fof(f37,plain,(
% 8.86/1.49 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,X0),X2)|~holds(clear(X1),X2)|~holds(empty,X2))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f36])).
% 8.86/1.49 fof(f38,plain,(
% 8.86/1.49 ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f4])).
% 8.86/1.49 fof(f39,plain,(
% 8.86/1.49 ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f38])).
% 8.86/1.49 fof(f40,plain,(
% 8.86/1.49 ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f5])).
% 8.86/1.49 fof(f41,plain,(
% 8.86/1.49 ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f40])).
% 8.86/1.49 fof(f42,plain,(
% 8.86/1.49 ![Y,State]: ((![X]: (holds(empty,do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f6])).
% 8.86/1.49 fof(f43,plain,(
% 8.86/1.49 ![X0,X1,X2]: (holds(empty,do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f42])).
% 8.86/1.49 fof(f44,plain,(
% 8.86/1.49 ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f7])).
% 8.86/1.49 fof(f45,plain,(
% 8.86/1.49 ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f44])).
% 8.86/1.49 fof(f46,plain,(
% 8.86/1.49 ![Y,State]: ((![X]: (holds(clear(X),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f8])).
% 8.86/1.49 fof(f47,plain,(
% 8.86/1.49 ![X0,X1,X2]: (holds(clear(X0),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f46])).
% 8.86/1.49 fof(f48,plain,(
% 8.86/1.49 ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f9])).
% 8.86/1.49 fof(f49,plain,(
% 8.86/1.49 ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f48])).
% 8.86/1.49 fof(f50,plain,(
% 8.86/1.49 ![Z,Y]: ((![State]: ((![X]: holds(clear(Z),do(putdown(X,Y),State)))|~holds(clear(Z),State)))|~differ(Z,Y))),
% 8.86/1.49 inference(miniscoping,[status(esa)],[f10])).
% 8.86/1.49 fof(f51,plain,(
% 8.86/1.49 ![X0,X1,X2,X3]: (holds(clear(X0),do(putdown(X1,X2),X3))|~holds(clear(X0),X3)|~differ(X0,X2))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f50])).
% 8.86/1.49 fof(f52,plain,(
% 8.86/1.49 ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f11])).
% 8.86/1.49 fof(f53,plain,(
% 8.86/1.49 differ(a,b)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f12])).
% 8.86/1.49 fof(f54,plain,(
% 8.86/1.49 differ(a,c)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f13])).
% 8.86/1.49 fof(f55,plain,(
% 8.86/1.49 differ(a,d)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f14])).
% 8.86/1.49 fof(f56,plain,(
% 8.86/1.49 differ(a,table)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f15])).
% 8.86/1.49 fof(f57,plain,(
% 8.86/1.49 differ(b,c)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f16])).
% 8.86/1.49 fof(f58,plain,(
% 8.86/1.49 differ(b,d)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f17])).
% 8.86/1.49 fof(f59,plain,(
% 8.86/1.49 differ(b,table)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f18])).
% 8.86/1.49 fof(f61,plain,(
% 8.86/1.49 differ(c,table)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f20])).
% 8.86/1.49 fof(f62,plain,(
% 8.86/1.49 differ(d,table)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f21])).
% 8.86/1.49 fof(f65,plain,(
% 8.86/1.49 holds(on(c,d),s0)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f24])).
% 8.86/1.49 fof(f67,plain,(
% 8.86/1.49 holds(clear(a),s0)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f26])).
% 8.86/1.49 fof(f68,plain,(
% 8.86/1.49 holds(clear(b),s0)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f27])).
% 8.86/1.49 fof(f69,plain,(
% 8.86/1.49 holds(clear(c),s0)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f28])).
% 8.86/1.49 fof(f70,plain,(
% 8.86/1.49 holds(empty,s0)),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f29])).
% 8.86/1.49 fof(f71,plain,(
% 8.86/1.49 ![X0]: (holds(clear(table),X0))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f30])).
% 8.86/1.49 fof(f72,plain,(
% 8.86/1.49 ![X0]: (~holds(and(on(a,b),on(b,d)),X0))),
% 8.86/1.49 inference(cnf_transformation,[status(esa)],[f31])).
% 8.86/1.49 fof(f73,plain,(
% 8.86/1.49 ![X0]: (~holds(on(a,b),X0)|~holds(on(b,d),X0))),
% 8.86/1.49 inference(resolution,[status(thm)],[f33,f72])).
% 8.86/1.49 fof(f79,plain,(
% 8.86/1.49 differ(d,b)),
% 8.86/1.49 inference(resolution,[status(thm)],[f52,f58])).
% 8.86/1.49 fof(f83,plain,(
% 8.86/1.49 differ(b,a)),
% 8.86/1.49 inference(resolution,[status(thm)],[f52,f53])).
% 8.86/1.49 fof(f103,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~holds(on(b,d),X0)|~holds(on(a,b),do(putdown(X1,X2),X0)))),
% 8.86/1.49 inference(resolution,[status(thm)],[f49,f73])).
% 8.86/1.49 fof(f105,plain,(
% 8.86/1.49 ![X0]: (~holds(holding(a),X0)|~holds(clear(b),X0)|~holds(on(b,d),X0))),
% 8.86/1.49 inference(resolution,[status(thm)],[f45,f103])).
% 8.86/1.49 fof(f109,plain,(
% 8.86/1.49 ![X0,X1]: (~holds(holding(a),do(pickup(X0),X1))|~holds(clear(b),do(pickup(X0),X1))|~holds(on(b,d),X1)|~differ(b,X0))),
% 8.86/1.49 inference(resolution,[status(thm)],[f105,f39])).
% 8.86/1.49 fof(f114,plain,(
% 8.86/1.49 ![X0,X1]: (~holds(holding(a),do(pickup(X0),X1))|~holds(on(b,d),X1)|~differ(b,X0)|~holds(clear(b),X1)|~differ(b,X0))),
% 8.86/1.49 inference(resolution,[status(thm)],[f109,f41])).
% 8.86/1.49 fof(f115,plain,(
% 8.86/1.49 ![X0,X1]: (~holds(holding(a),do(pickup(X0),X1))|~holds(on(b,d),X1)|~differ(b,X0)|~holds(clear(b),X1))),
% 8.86/1.49 inference(duplicate_literals_removal,[status(esa)],[f114])).
% 8.86/1.49 fof(f117,plain,(
% 8.86/1.49 spl0_2 <=> ~holds(on(b,d),X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(a),X0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f118,plain,(
% 8.86/1.49 ![X0]: (~holds(on(b,d),X0)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(a),X0)|~spl0_2)),
% 8.86/1.49 inference(component_clause,[status(thm)],[f117])).
% 8.86/1.49 fof(f120,plain,(
% 8.86/1.49 spl0_3 <=> differ(b,a)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f122,plain,(
% 8.86/1.49 ~differ(b,a)|spl0_3),
% 8.86/1.49 inference(component_clause,[status(thm)],[f120])).
% 8.86/1.49 fof(f123,plain,(
% 8.86/1.49 spl0_4 <=> differ(a,table)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f125,plain,(
% 8.86/1.49 ~differ(a,table)|spl0_4),
% 8.86/1.49 inference(component_clause,[status(thm)],[f123])).
% 8.86/1.49 fof(f126,plain,(
% 8.86/1.49 ![X0]: (~holds(on(b,d),X0)|~differ(b,a)|~holds(clear(b),X0)|~holds(empty,X0)|~holds(clear(a),X0)|~differ(a,table))),
% 8.86/1.49 inference(resolution,[status(thm)],[f115,f35])).
% 8.86/1.49 fof(f127,plain,(
% 8.86/1.49 spl0_2|~spl0_3|~spl0_4),
% 8.86/1.49 inference(split_clause,[status(thm)],[f126,f117,f120,f123])).
% 8.86/1.49 fof(f128,plain,(
% 8.86/1.49 $false|spl0_4),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f125,f56])).
% 8.86/1.49 fof(f129,plain,(
% 8.86/1.49 spl0_4),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f128])).
% 8.86/1.49 fof(f130,plain,(
% 8.86/1.49 $false|spl0_3),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f122,f83])).
% 8.86/1.49 fof(f131,plain,(
% 8.86/1.49 spl0_3),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f130])).
% 8.86/1.49 fof(f132,plain,(
% 8.86/1.49 ![X0]: (~holds(clear(b),do(putdown(b,d),X0))|~holds(empty,do(putdown(b,d),X0))|~holds(clear(a),do(putdown(b,d),X0))|~holds(holding(b),X0)|~holds(clear(d),X0)|~spl0_2)),
% 8.86/1.49 inference(resolution,[status(thm)],[f118,f45])).
% 8.86/1.49 fof(f133,plain,(
% 8.86/1.49 ![X0]: (~holds(clear(b),do(putdown(b,d),X0))|~holds(clear(a),do(putdown(b,d),X0))|~holds(holding(b),X0)|~holds(clear(d),X0)|~spl0_2)),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f132,f43])).
% 8.86/1.49 fof(f149,plain,(
% 8.86/1.49 spl0_6 <=> differ(a,b)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f151,plain,(
% 8.86/1.49 ~differ(a,b)|spl0_6),
% 8.86/1.49 inference(component_clause,[status(thm)],[f149])).
% 8.86/1.49 fof(f152,plain,(
% 8.86/1.49 spl0_7 <=> differ(d,b)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f154,plain,(
% 8.86/1.49 ~differ(d,b)|spl0_7),
% 8.86/1.49 inference(component_clause,[status(thm)],[f152])).
% 8.86/1.49 fof(f155,plain,(
% 8.86/1.49 spl0_8 <=> differ(b,table)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f157,plain,(
% 8.86/1.49 ~differ(b,table)|spl0_8),
% 8.86/1.49 inference(component_clause,[status(thm)],[f155])).
% 8.86/1.49 fof(f160,plain,(
% 8.86/1.49 $false|spl0_8),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f157,f59])).
% 8.86/1.49 fof(f161,plain,(
% 8.86/1.49 spl0_8),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f160])).
% 8.86/1.49 fof(f162,plain,(
% 8.86/1.49 $false|spl0_7),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f154,f79])).
% 8.86/1.49 fof(f163,plain,(
% 8.86/1.49 spl0_7),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f162])).
% 8.86/1.49 fof(f164,plain,(
% 8.86/1.49 $false|spl0_6),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f151,f53])).
% 8.86/1.49 fof(f165,plain,(
% 8.86/1.49 spl0_6),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f164])).
% 8.86/1.49 fof(f218,plain,(
% 8.86/1.49 ![X0]: (~holds(clear(a),do(putdown(b,d),X0))|~holds(holding(b),X0)|~holds(clear(d),X0)|~spl0_2)),
% 8.86/1.49 inference(backward_subsumption_resolution,[status(thm)],[f133,f47])).
% 8.86/1.49 fof(f226,plain,(
% 8.86/1.49 spl0_16 <=> ~holds(holding(b),X0)|~holds(clear(d),X0)|~holds(clear(a),X0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f227,plain,(
% 8.86/1.49 ![X0]: (~holds(holding(b),X0)|~holds(clear(d),X0)|~holds(clear(a),X0)|~spl0_16)),
% 8.86/1.49 inference(component_clause,[status(thm)],[f226])).
% 8.86/1.49 fof(f229,plain,(
% 8.86/1.49 spl0_17 <=> differ(a,d)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f231,plain,(
% 8.86/1.49 ~differ(a,d)|spl0_17),
% 8.86/1.49 inference(component_clause,[status(thm)],[f229])).
% 8.86/1.49 fof(f232,plain,(
% 8.86/1.49 ![X0]: (~holds(holding(b),X0)|~holds(clear(d),X0)|~holds(clear(a),X0)|~differ(a,d)|~spl0_2)),
% 8.86/1.49 inference(resolution,[status(thm)],[f218,f51])).
% 8.86/1.49 fof(f233,plain,(
% 8.86/1.49 spl0_16|~spl0_17|~spl0_2),
% 8.86/1.49 inference(split_clause,[status(thm)],[f232,f226,f229,f117])).
% 8.86/1.49 fof(f234,plain,(
% 8.86/1.49 $false|spl0_17),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f231,f55])).
% 8.86/1.49 fof(f235,plain,(
% 8.86/1.49 spl0_17),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f234])).
% 8.86/1.49 fof(f238,plain,(
% 8.86/1.49 ![X0,X1]: (~holds(holding(b),do(pickup(X0),X1))|~holds(clear(a),do(pickup(X0),X1))|~holds(clear(d),X1)|~differ(d,X0)|~spl0_16)),
% 8.86/1.49 inference(resolution,[status(thm)],[f227,f41])).
% 8.86/1.49 fof(f270,plain,(
% 8.86/1.49 ![X0,X1]: (~holds(holding(b),do(pickup(X0),X1))|~holds(clear(d),X1)|~differ(d,X0)|~holds(clear(a),X1)|~differ(a,X0)|~spl0_16)),
% 8.86/1.49 inference(resolution,[status(thm)],[f238,f41])).
% 8.86/1.49 fof(f274,plain,(
% 8.86/1.49 spl0_22 <=> ~holds(clear(d),X0)|~holds(clear(a),X0)|~holds(empty,X0)|~holds(clear(b),X0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f275,plain,(
% 8.86/1.49 ![X0]: (~holds(clear(d),X0)|~holds(clear(a),X0)|~holds(empty,X0)|~holds(clear(b),X0)|~spl0_22)),
% 8.86/1.49 inference(component_clause,[status(thm)],[f274])).
% 8.86/1.49 fof(f277,plain,(
% 8.86/1.49 ![X0]: (~holds(clear(d),X0)|~differ(d,b)|~holds(clear(a),X0)|~differ(a,b)|~holds(empty,X0)|~holds(clear(b),X0)|~differ(b,table)|~spl0_16)),
% 8.86/1.49 inference(resolution,[status(thm)],[f270,f35])).
% 8.86/1.49 fof(f278,plain,(
% 8.86/1.49 spl0_22|~spl0_7|~spl0_6|~spl0_8|~spl0_16),
% 8.86/1.49 inference(split_clause,[status(thm)],[f277,f274,f152,f149,f155,f226])).
% 8.86/1.49 fof(f281,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),X2))|~holds(empty,do(putdown(X0,X1),X2))|~holds(clear(b),do(putdown(X0,X1),X2))|~holds(clear(d),X2)|~differ(d,X1)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f275,f51])).
% 8.86/1.49 fof(f313,plain,(
% 8.86/1.49 spl0_25 <=> holds(clear(b),s0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f315,plain,(
% 8.86/1.49 ~holds(clear(b),s0)|spl0_25),
% 8.86/1.49 inference(component_clause,[status(thm)],[f313])).
% 8.86/1.49 fof(f316,plain,(
% 8.86/1.49 spl0_26 <=> differ(b,c)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f318,plain,(
% 8.86/1.49 ~differ(b,c)|spl0_26),
% 8.86/1.49 inference(component_clause,[status(thm)],[f316])).
% 8.86/1.49 fof(f319,plain,(
% 8.86/1.49 spl0_27 <=> holds(clear(a),s0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f321,plain,(
% 8.86/1.49 ~holds(clear(a),s0)|spl0_27),
% 8.86/1.49 inference(component_clause,[status(thm)],[f319])).
% 8.86/1.49 fof(f322,plain,(
% 8.86/1.49 spl0_28 <=> differ(a,c)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f324,plain,(
% 8.86/1.49 ~differ(a,c)|spl0_28),
% 8.86/1.49 inference(component_clause,[status(thm)],[f322])).
% 8.86/1.49 fof(f384,plain,(
% 8.86/1.49 $false|spl0_28),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f324,f54])).
% 8.86/1.49 fof(f385,plain,(
% 8.86/1.49 spl0_28),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f384])).
% 8.86/1.49 fof(f386,plain,(
% 8.86/1.49 $false|spl0_26),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f318,f57])).
% 8.86/1.49 fof(f387,plain,(
% 8.86/1.49 spl0_26),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f386])).
% 8.86/1.49 fof(f388,plain,(
% 8.86/1.49 $false|spl0_25),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f315,f68])).
% 8.86/1.49 fof(f389,plain,(
% 8.86/1.49 spl0_25),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f388])).
% 8.86/1.49 fof(f390,plain,(
% 8.86/1.49 $false|spl0_27),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f321,f67])).
% 8.86/1.49 fof(f391,plain,(
% 8.86/1.49 spl0_27),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f390])).
% 8.86/1.49 fof(f408,plain,(
% 8.86/1.49 spl0_36 <=> differ(d,table)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f410,plain,(
% 8.86/1.49 ~differ(d,table)|spl0_36),
% 8.86/1.49 inference(component_clause,[status(thm)],[f408])).
% 8.86/1.49 fof(f450,plain,(
% 8.86/1.49 $false|spl0_36),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f410,f62])).
% 8.86/1.49 fof(f451,plain,(
% 8.86/1.49 spl0_36),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f450])).
% 8.86/1.49 fof(f812,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~holds(clear(a),do(putdown(X0,X1),X2))|~holds(empty,do(putdown(X0,X1),X2))|~holds(clear(d),X2)|~differ(d,X1)|~holds(clear(b),X2)|~differ(b,X1)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f281,f51])).
% 8.86/1.49 fof(f815,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~holds(empty,do(putdown(X0,X1),X2))|~holds(clear(d),X2)|~differ(d,X1)|~holds(clear(b),X2)|~differ(b,X1)|~holds(clear(a),X2)|~differ(a,X1)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f812,f51])).
% 8.86/1.49 fof(f820,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~holds(clear(d),X0)|~differ(d,X1)|~holds(clear(b),X0)|~differ(b,X1)|~holds(clear(a),X0)|~differ(a,X1)|~holds(holding(X2),X0)|~holds(clear(X1),X0)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f815,f43])).
% 8.86/1.49 fof(f824,plain,(
% 8.86/1.49 ![X0,X1,X2,X3]: (~differ(d,X0)|~holds(clear(b),do(pickup(X1),X2))|~differ(b,X0)|~holds(clear(a),do(pickup(X1),X2))|~differ(a,X0)|~holds(holding(X3),do(pickup(X1),X2))|~holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,d),X2)|~holds(clear(X1),X2)|~holds(empty,X2)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f820,f37])).
% 8.86/1.49 fof(f1474,plain,(
% 8.86/1.49 ![X0,X1,X2,X3]: (~differ(d,X0)|~differ(b,X0)|~holds(clear(a),do(pickup(X1),X2))|~differ(a,X0)|~holds(holding(X3),do(pickup(X1),X2))|~holds(clear(X0),do(pickup(X1),X2))|~holds(on(X1,d),X2)|~holds(clear(X1),X2)|~holds(empty,X2)|~holds(clear(b),X2)|~differ(b,X1)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f824,f41])).
% 8.86/1.49 fof(f1705,plain,(
% 8.86/1.49 spl0_142 <=> differ(c,table)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f1707,plain,(
% 8.86/1.49 ~differ(c,table)|spl0_142),
% 8.86/1.49 inference(component_clause,[status(thm)],[f1705])).
% 8.86/1.49 fof(f1714,plain,(
% 8.86/1.49 spl0_145 <=> holds(clear(c),s0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f1716,plain,(
% 8.86/1.49 ~holds(clear(c),s0)|spl0_145),
% 8.86/1.49 inference(component_clause,[status(thm)],[f1714])).
% 8.86/1.49 fof(f1728,plain,(
% 8.86/1.49 $false|spl0_145),
% 8.86/1.49 inference(forward_subsumption_resolution,[status(thm)],[f1716,f69])).
% 8.86/1.49 fof(f1729,plain,(
% 8.86/1.49 spl0_145),
% 8.86/1.49 inference(contradiction_clause,[status(thm)],[f1728])).
% 8.86/1.49 fof(f1993,plain,(
% 8.86/1.49 ![X0,X1,X2,X3]: (~differ(d,X0)|~differ(b,X0)|~differ(a,X0)|~holds(holding(X1),do(pickup(X2),X3))|~holds(clear(X0),do(pickup(X2),X3))|~holds(on(X2,d),X3)|~holds(clear(X2),X3)|~holds(empty,X3)|~holds(clear(b),X3)|~differ(b,X2)|~holds(clear(a),X3)|~differ(a,X2)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f1474,f41])).
% 8.86/1.49 fof(f2509,plain,(
% 8.86/1.49 spl0_216 <=> ~holds(holding(X0),do(pickup(X1),X2))|~holds(on(X1,d),X2)|~holds(clear(X1),X2)|~holds(empty,X2)|~holds(clear(b),X2)|~differ(b,X1)|~holds(clear(a),X2)|~differ(a,X1)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.49 fof(f2510,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~holds(holding(X0),do(pickup(X1),X2))|~holds(on(X1,d),X2)|~holds(clear(X1),X2)|~holds(empty,X2)|~holds(clear(b),X2)|~differ(b,X1)|~holds(clear(a),X2)|~differ(a,X1)|~spl0_216)),
% 8.86/1.49 inference(component_clause,[status(thm)],[f2509])).
% 8.86/1.49 fof(f2512,plain,(
% 8.86/1.49 ![X0,X1,X2]: (~differ(d,table)|~differ(b,table)|~differ(a,table)|~holds(holding(X0),do(pickup(X1),X2))|~holds(on(X1,d),X2)|~holds(clear(X1),X2)|~holds(empty,X2)|~holds(clear(b),X2)|~differ(b,X1)|~holds(clear(a),X2)|~differ(a,X1)|~spl0_22)),
% 8.86/1.49 inference(resolution,[status(thm)],[f1993,f71])).
% 8.86/1.49 fof(f2513,plain,(
% 8.86/1.49 ~spl0_36|~spl0_8|~spl0_4|spl0_216|~spl0_22),
% 8.86/1.49 inference(split_clause,[status(thm)],[f2512,f408,f155,f123,f2509,f274])).
% 8.86/1.49 fof(f2533,plain,(
% 8.86/1.49 spl0_218 <=> holds(empty,s0)),
% 8.86/1.49 introduced(split_symbol_definition)).
% 8.86/1.50 fof(f2535,plain,(
% 8.86/1.50 ~holds(empty,s0)|spl0_218),
% 8.86/1.50 inference(component_clause,[status(thm)],[f2533])).
% 8.86/1.50 fof(f2561,plain,(
% 8.86/1.50 ![X0,X1]: (~holds(on(X0,d),X1)|~holds(clear(X0),X1)|~holds(empty,X1)|~holds(clear(b),X1)|~differ(b,X0)|~holds(clear(a),X1)|~differ(a,X0)|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table)|~spl0_216)),
% 8.86/1.50 inference(resolution,[status(thm)],[f2510,f35])).
% 8.86/1.50 fof(f2562,plain,(
% 8.86/1.50 ![X0,X1]: (~holds(on(X0,d),X1)|~holds(clear(X0),X1)|~holds(empty,X1)|~holds(clear(b),X1)|~differ(b,X0)|~holds(clear(a),X1)|~differ(a,X0)|~differ(X0,table)|~spl0_216)),
% 8.86/1.50 inference(duplicate_literals_removal,[status(esa)],[f2561])).
% 8.86/1.50 fof(f2563,plain,(
% 8.86/1.50 ~holds(clear(c),s0)|~holds(empty,s0)|~holds(clear(b),s0)|~differ(b,c)|~holds(clear(a),s0)|~differ(a,c)|~differ(c,table)|~spl0_216),
% 8.86/1.50 inference(resolution,[status(thm)],[f2562,f65])).
% 8.86/1.50 fof(f2564,plain,(
% 8.86/1.50 ~spl0_145|~spl0_218|~spl0_25|~spl0_26|~spl0_27|~spl0_28|~spl0_142|~spl0_216),
% 8.86/1.50 inference(split_clause,[status(thm)],[f2563,f1714,f2533,f313,f316,f319,f322,f1705,f2509])).
% 8.86/1.50 fof(f2569,plain,(
% 8.86/1.50 $false|spl0_218),
% 8.86/1.50 inference(forward_subsumption_resolution,[status(thm)],[f2535,f70])).
% 8.86/1.50 fof(f2570,plain,(
% 8.86/1.50 spl0_218),
% 8.86/1.50 inference(contradiction_clause,[status(thm)],[f2569])).
% 8.86/1.50 fof(f2571,plain,(
% 8.86/1.50 $false|spl0_142),
% 8.86/1.50 inference(forward_subsumption_resolution,[status(thm)],[f1707,f61])).
% 8.86/1.50 fof(f2572,plain,(
% 8.86/1.50 spl0_142),
% 8.86/1.50 inference(contradiction_clause,[status(thm)],[f2571])).
% 8.86/1.50 fof(f2573,plain,(
% 8.86/1.50 $false),
% 8.86/1.50 inference(sat_refutation,[status(thm)],[f127,f129,f131,f161,f163,f165,f233,f235,f278,f385,f387,f389,f391,f451,f1729,f2513,f2564,f2570,f2572])).
% 8.86/1.50 % SZS output end CNFRefutation for theBenchmark.p
% 9.27/1.55 % Elapsed time: 1.183833 seconds
% 9.27/1.55 % CPU time: 9.226446 seconds
% 9.27/1.55 % Total memory used: 433.770 MB
% 9.27/1.55 % Net memory used: 401.786 MB
%------------------------------------------------------------------------------