TSTP Solution File: SET013-4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET013-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:38:37 EDT 2024
% Result : Unsatisfiable 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET013-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:53:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.50 % Refutation found
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.50 fof(f3,axiom,(
% 0.21/0.50 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f4,axiom,(
% 0.21/0.50 (![X,Y]: (( ~ member(f1(X,Y),X)| ~ member(f1(X,Y),Y)| X = Y ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f5,axiom,(
% 0.21/0.50 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f6,axiom,(
% 0.21/0.50 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f7,axiom,(
% 0.21/0.50 (![Z,X,Y]: (( member(Z,intersection(X,Y))| ~ member(Z,X)| ~ member(Z,Y) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f10,hypothesis,(
% 0.21/0.50 intersection(as,bs) = cs ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f11,hypothesis,(
% 0.21/0.50 intersection(bs,as) = ds ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f12,negated_conjecture,(
% 0.21/0.50 cs != ds ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f16,plain,(
% 0.21/0.50 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.50 fof(f17,plain,(
% 0.21/0.50 ![X0,X1]: (~member(f1(X0,X1),X0)|~member(f1(X0,X1),X1)|X0=X1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.50 fof(f18,plain,(
% 0.21/0.50 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f5])).
% 0.21/0.50 fof(f19,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.50 fof(f20,plain,(
% 0.21/0.50 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f6])).
% 0.21/0.50 fof(f21,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.50 fof(f22,plain,(
% 0.21/0.50 ![Z,Y]: ((![X]: (member(Z,intersection(X,Y))|~member(Z,X)))|~member(Z,Y))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f7])).
% 0.21/0.50 fof(f23,plain,(
% 0.21/0.50 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.50 fof(f26,plain,(
% 0.21/0.50 intersection(as,bs)=cs),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.50 fof(f27,plain,(
% 0.21/0.50 intersection(bs,as)=ds),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.50 fof(f28,plain,(
% 0.21/0.50 ~cs=ds),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.50 fof(f53,plain,(
% 0.21/0.50 spl0_0 <=> member(f1(cs,ds),cs)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f55,plain,(
% 0.21/0.50 ~member(f1(cs,ds),cs)|spl0_0),
% 0.21/0.50 inference(component_clause,[status(thm)],[f53])).
% 0.21/0.50 fof(f56,plain,(
% 0.21/0.50 spl0_1 <=> member(f1(cs,ds),ds)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f58,plain,(
% 0.21/0.50 ~member(f1(cs,ds),ds)|spl0_1),
% 0.21/0.50 inference(component_clause,[status(thm)],[f56])).
% 0.21/0.50 fof(f59,plain,(
% 0.21/0.50 ~member(f1(cs,ds),cs)|~member(f1(cs,ds),ds)),
% 0.21/0.50 inference(resolution,[status(thm)],[f17,f28])).
% 0.21/0.50 fof(f60,plain,(
% 0.21/0.50 ~spl0_0|~spl0_1),
% 0.21/0.50 inference(split_clause,[status(thm)],[f59,f53,f56])).
% 0.21/0.50 fof(f61,plain,(
% 0.21/0.50 spl0_2 <=> member(f1(ds,cs),ds)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f63,plain,(
% 0.21/0.50 ~member(f1(ds,cs),ds)|spl0_2),
% 0.21/0.50 inference(component_clause,[status(thm)],[f61])).
% 0.21/0.50 fof(f64,plain,(
% 0.21/0.50 spl0_3 <=> member(f1(ds,cs),cs)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f66,plain,(
% 0.21/0.50 ~member(f1(ds,cs),cs)|spl0_3),
% 0.21/0.50 inference(component_clause,[status(thm)],[f64])).
% 0.21/0.50 fof(f67,plain,(
% 0.21/0.50 ~member(f1(ds,cs),ds)|~member(f1(ds,cs),cs)),
% 0.21/0.50 inference(resolution,[status(thm)],[f17,f28])).
% 0.21/0.50 fof(f68,plain,(
% 0.21/0.50 ~spl0_2|~spl0_3),
% 0.21/0.50 inference(split_clause,[status(thm)],[f67,f61,f64])).
% 0.21/0.50 fof(f69,plain,(
% 0.21/0.50 spl0_4 <=> ds=cs),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f70,plain,(
% 0.21/0.50 ds=cs|~spl0_4),
% 0.21/0.50 inference(component_clause,[status(thm)],[f69])).
% 0.21/0.50 fof(f72,plain,(
% 0.21/0.50 member(f1(ds,cs),cs)|ds=cs|spl0_2),
% 0.21/0.50 inference(resolution,[status(thm)],[f63,f16])).
% 0.21/0.50 fof(f73,plain,(
% 0.21/0.50 spl0_3|spl0_4|spl0_2),
% 0.21/0.50 inference(split_clause,[status(thm)],[f72,f64,f69,f61])).
% 0.21/0.50 fof(f74,plain,(
% 0.21/0.50 ![X0]: (~member(f1(ds,cs),intersection(X0,ds))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f63,f21])).
% 0.21/0.50 fof(f75,plain,(
% 0.21/0.50 ![X0]: (~member(f1(ds,cs),intersection(ds,X0))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f63,f19])).
% 0.21/0.50 fof(f76,plain,(
% 0.21/0.50 $false|~spl0_4),
% 0.21/0.50 inference(forward_subsumption_resolution,[status(thm)],[f70,f28])).
% 0.21/0.50 fof(f77,plain,(
% 0.21/0.50 ~spl0_4),
% 0.21/0.50 inference(contradiction_clause,[status(thm)],[f76])).
% 0.21/0.50 fof(f78,plain,(
% 0.21/0.50 member(f1(cs,ds),ds)|cs=ds|spl0_0),
% 0.21/0.50 inference(resolution,[status(thm)],[f55,f16])).
% 0.21/0.50 fof(f79,plain,(
% 0.21/0.50 spl0_1|spl0_4|spl0_0),
% 0.21/0.50 inference(split_clause,[status(thm)],[f78,f56,f69,f53])).
% 0.21/0.50 fof(f82,plain,(
% 0.21/0.50 ![X0,X1]: (~member(f1(ds,cs),intersection(X0,intersection(ds,X1)))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f75,f21])).
% 0.21/0.50 fof(f83,plain,(
% 0.21/0.50 ![X0,X1]: (~member(f1(ds,cs),intersection(intersection(ds,X0),X1))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f75,f19])).
% 0.21/0.50 fof(f86,plain,(
% 0.21/0.50 ![X0,X1]: (~member(f1(ds,cs),intersection(X0,intersection(X1,ds)))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f74,f21])).
% 0.21/0.50 fof(f87,plain,(
% 0.21/0.50 ![X0,X1]: (~member(f1(ds,cs),intersection(intersection(X0,ds),X1))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f74,f19])).
% 0.21/0.50 fof(f90,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(ds,X2))))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f82,f21])).
% 0.21/0.50 fof(f91,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(ds,X1)),X2))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f82,f19])).
% 0.21/0.50 fof(f92,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(ds,X1),X2)))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f83,f21])).
% 0.21/0.50 fof(f93,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(intersection(intersection(ds,X0),X1),X2))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f83,f19])).
% 0.21/0.50 fof(f98,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(X2,ds))))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f86,f21])).
% 0.21/0.50 fof(f99,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,ds)),X2))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f86,f19])).
% 0.21/0.50 fof(f100,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(X1,ds),X2)))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f87,f21])).
% 0.21/0.50 fof(f101,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,ds),X1),X2))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f87,f19])).
% 0.21/0.50 fof(f106,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(X2,intersection(ds,X3)))))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f90,f21])).
% 0.21/0.50 fof(f107,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,intersection(ds,X2))),X3))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f90,f19])).
% 0.21/0.50 fof(f108,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(X1,intersection(ds,X2)),X3)))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f91,f21])).
% 0.21/0.50 fof(f109,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,intersection(ds,X1)),X2),X3))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f91,f19])).
% 0.21/0.50 fof(f110,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(intersection(ds,X2),X3))))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f92,f21])).
% 0.21/0.50 fof(f111,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(intersection(ds,X1),X2)),X3))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f92,f19])).
% 0.21/0.50 fof(f112,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(intersection(ds,X1),X2),X3)))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f93,f21])).
% 0.21/0.50 fof(f113,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(intersection(intersection(ds,X0),X1),X2),X3))|spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f93,f19])).
% 0.21/0.50 fof(f123,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,intersection(X2,ds))),X3))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f98,f19])).
% 0.21/0.51 fof(f125,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,intersection(X1,ds)),X2),X3))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f99,f19])).
% 0.21/0.51 fof(f127,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(intersection(X1,ds),X2)),X3))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f100,f19])).
% 0.21/0.51 fof(f129,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(intersection(intersection(X0,ds),X1),X2),X3))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f101,f19])).
% 0.21/0.51 fof(f139,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,intersection(X2,intersection(ds,X3)))),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f106,f19])).
% 0.21/0.51 fof(f141,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,intersection(X1,intersection(ds,X2))),X3),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f107,f19])).
% 0.21/0.51 fof(f143,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(intersection(X1,intersection(ds,X2)),X3)),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f108,f19])).
% 0.21/0.51 fof(f145,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(intersection(intersection(X0,intersection(ds,X1)),X2),X3),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f109,f19])).
% 0.21/0.51 fof(f147,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,intersection(intersection(ds,X2),X3))),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f110,f19])).
% 0.21/0.51 fof(f149,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,intersection(intersection(ds,X1),X2)),X3),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f111,f19])).
% 0.21/0.51 fof(f151,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(intersection(intersection(ds,X1),X2),X3)),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f112,f19])).
% 0.21/0.51 fof(f153,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(intersection(intersection(intersection(ds,X0),X1),X2),X3),X4))|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f113,f19])).
% 0.21/0.51 fof(f1291,plain,(
% 0.21/0.51 spl0_25 <=> ~member(f1(ds,cs),intersection(intersection(intersection(intersection(ds,X0),X1),X2),X3))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1294,plain,(
% 0.21/0.51 spl0_26 <=> ~member(f1(ds,cs),X4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1297,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(intersection(intersection(ds,X0),X1),X2),X3))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f153])).
% 0.21/0.51 fof(f1298,plain,(
% 0.21/0.51 spl0_25|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1297,f1291,f1294,f61])).
% 0.21/0.51 fof(f1299,plain,(
% 0.21/0.51 spl0_27 <=> ~member(f1(ds,cs),intersection(intersection(intersection(ds,X0),X1),X2))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1302,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(intersection(ds,X0),X1),X2))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f113])).
% 0.21/0.51 fof(f1303,plain,(
% 0.21/0.51 spl0_27|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1302,f1299,f1294,f61])).
% 0.21/0.51 fof(f1304,plain,(
% 0.21/0.51 spl0_28 <=> ~member(f1(ds,cs),intersection(intersection(intersection(X0,intersection(ds,X1)),X2),X3))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1307,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,intersection(ds,X1)),X2),X3))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f145])).
% 0.21/0.51 fof(f1308,plain,(
% 0.21/0.51 spl0_28|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1307,f1304,f1294,f61])).
% 0.21/0.51 fof(f1309,plain,(
% 0.21/0.51 spl0_29 <=> ~member(f1(ds,cs),intersection(intersection(intersection(X0,ds),X1),X2))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1312,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(intersection(X0,ds),X1),X2))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f129])).
% 0.21/0.51 fof(f1313,plain,(
% 0.21/0.51 spl0_29|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1312,f1309,f1294,f61])).
% 0.21/0.51 fof(f1314,plain,(
% 0.21/0.51 spl0_30 <=> ~member(f1(ds,cs),intersection(intersection(ds,X0),X1))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1317,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(intersection(ds,X0),X1))|~member(f1(ds,cs),X2)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f93])).
% 0.21/0.51 fof(f1318,plain,(
% 0.21/0.51 spl0_30|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1317,f1314,f1294,f61])).
% 0.21/0.51 fof(f1319,plain,(
% 0.21/0.51 spl0_31 <=> ~member(f1(ds,cs),intersection(intersection(X0,intersection(intersection(ds,X1),X2)),X3))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1322,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(intersection(ds,X1),X2)),X3))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f149])).
% 0.21/0.51 fof(f1323,plain,(
% 0.21/0.51 spl0_31|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1322,f1319,f1294,f61])).
% 0.21/0.51 fof(f1324,plain,(
% 0.21/0.51 spl0_32 <=> ~member(f1(ds,cs),intersection(intersection(X0,intersection(ds,X1)),X2))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1327,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(ds,X1)),X2))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f109])).
% 0.21/0.51 fof(f1328,plain,(
% 0.21/0.51 spl0_32|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1327,f1324,f1294,f61])).
% 0.21/0.51 fof(f1329,plain,(
% 0.21/0.51 spl0_33 <=> ~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,intersection(ds,X2))),X3))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1332,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,intersection(ds,X2))),X3))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f141])).
% 0.21/0.51 fof(f1333,plain,(
% 0.21/0.51 spl0_33|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1332,f1329,f1294,f61])).
% 0.21/0.51 fof(f1334,plain,(
% 0.21/0.51 spl0_34 <=> ~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,ds)),X2))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1337,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(intersection(X0,intersection(X1,ds)),X2))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f125])).
% 0.21/0.51 fof(f1338,plain,(
% 0.21/0.51 spl0_34|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1337,f1334,f1294,f61])).
% 0.21/0.51 fof(f1339,plain,(
% 0.21/0.51 spl0_35 <=> ~member(f1(ds,cs),intersection(intersection(X0,ds),X1))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1342,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(intersection(X0,ds),X1))|~member(f1(ds,cs),X2)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f101])).
% 0.21/0.51 fof(f1343,plain,(
% 0.21/0.51 spl0_35|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1342,f1339,f1294,f61])).
% 0.21/0.51 fof(f1344,plain,(
% 0.21/0.51 spl0_36 <=> ~member(f1(ds,cs),intersection(ds,X0))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1347,plain,(
% 0.21/0.51 ![X0,X1]: (~member(f1(ds,cs),intersection(ds,X0))|~member(f1(ds,cs),X1)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f83])).
% 0.21/0.51 fof(f1348,plain,(
% 0.21/0.51 spl0_36|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1347,f1344,f1294,f61])).
% 0.21/0.51 fof(f1349,plain,(
% 0.21/0.51 spl0_37 <=> ~member(f1(ds,cs),intersection(X0,intersection(intersection(intersection(ds,X1),X2),X3)))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1352,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(intersection(ds,X1),X2),X3)))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f151])).
% 0.21/0.51 fof(f1353,plain,(
% 0.21/0.51 spl0_37|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1352,f1349,f1294,f61])).
% 0.21/0.51 fof(f1354,plain,(
% 0.21/0.51 spl0_38 <=> ~member(f1(ds,cs),intersection(X0,intersection(intersection(ds,X1),X2)))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1357,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(ds,X1),X2)))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f111])).
% 0.21/0.51 fof(f1358,plain,(
% 0.21/0.51 spl0_38|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1357,f1354,f1294,f61])).
% 0.21/0.51 fof(f1359,plain,(
% 0.21/0.51 spl0_39 <=> ~member(f1(ds,cs),intersection(X0,intersection(intersection(X1,intersection(ds,X2)),X3)))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1362,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(X1,intersection(ds,X2)),X3)))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f143])).
% 0.21/0.51 fof(f1363,plain,(
% 0.21/0.51 spl0_39|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1362,f1359,f1294,f61])).
% 0.21/0.51 fof(f1364,plain,(
% 0.21/0.51 spl0_40 <=> ~member(f1(ds,cs),intersection(X0,intersection(intersection(X1,ds),X2)))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1367,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(intersection(X1,ds),X2)))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f127])).
% 0.21/0.51 fof(f1368,plain,(
% 0.21/0.51 spl0_40|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1367,f1364,f1294,f61])).
% 0.21/0.51 fof(f1369,plain,(
% 0.21/0.51 spl0_41 <=> ~member(f1(ds,cs),intersection(X0,intersection(ds,X1)))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1372,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(X0,intersection(ds,X1)))|~member(f1(ds,cs),X2)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f91])).
% 0.21/0.51 fof(f1373,plain,(
% 0.21/0.51 spl0_41|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1372,f1369,f1294,f61])).
% 0.21/0.51 fof(f1374,plain,(
% 0.21/0.51 spl0_42 <=> ~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(intersection(ds,X2),X3))))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1377,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(intersection(ds,X2),X3))))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f147])).
% 0.21/0.51 fof(f1378,plain,(
% 0.21/0.51 spl0_42|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1377,f1374,f1294,f61])).
% 0.21/0.51 fof(f1379,plain,(
% 0.21/0.51 spl0_43 <=> ~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(ds,X2))))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1382,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(ds,X2))))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f107])).
% 0.21/0.51 fof(f1383,plain,(
% 0.21/0.51 spl0_43|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1382,f1379,f1294,f61])).
% 0.21/0.51 fof(f1384,plain,(
% 0.21/0.51 spl0_44 <=> ~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(X2,intersection(ds,X3)))))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1387,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(X2,intersection(ds,X3)))))|~member(f1(ds,cs),X4)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f139])).
% 0.21/0.51 fof(f1388,plain,(
% 0.21/0.51 spl0_44|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1387,f1384,f1294,f61])).
% 0.21/0.51 fof(f1389,plain,(
% 0.21/0.51 spl0_45 <=> ~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(X2,ds))))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1392,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (~member(f1(ds,cs),intersection(X0,intersection(X1,intersection(X2,ds))))|~member(f1(ds,cs),X3)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f123])).
% 0.21/0.51 fof(f1393,plain,(
% 0.21/0.51 spl0_45|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1392,f1389,f1294,f61])).
% 0.21/0.51 fof(f1394,plain,(
% 0.21/0.51 spl0_46 <=> ~member(f1(ds,cs),intersection(X0,intersection(X1,ds)))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1397,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~member(f1(ds,cs),intersection(X0,intersection(X1,ds)))|~member(f1(ds,cs),X2)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f99])).
% 0.21/0.51 fof(f1398,plain,(
% 0.21/0.51 spl0_46|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1397,f1394,f1294,f61])).
% 0.21/0.51 fof(f1399,plain,(
% 0.21/0.51 spl0_47 <=> ~member(f1(ds,cs),intersection(X0,ds))),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1402,plain,(
% 0.21/0.51 ![X0,X1]: (~member(f1(ds,cs),intersection(X0,ds))|~member(f1(ds,cs),X1)|spl0_2)),
% 0.21/0.51 inference(resolution,[status(thm)],[f23,f87])).
% 0.21/0.51 fof(f1403,plain,(
% 0.21/0.51 spl0_47|spl0_26|spl0_2),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1402,f1399,f1294,f61])).
% 0.21/0.51 fof(f1452,plain,(
% 0.21/0.51 ![X0]: (member(X0,ds)|~member(X0,bs)|~member(X0,as))),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f27,f23])).
% 0.21/0.51 fof(f1453,plain,(
% 0.21/0.51 ![X0]: (member(X0,cs)|~member(X0,as)|~member(X0,bs))),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f26,f23])).
% 0.21/0.51 fof(f1468,plain,(
% 0.21/0.51 spl0_48 <=> member(f1(cs,ds),bs)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1470,plain,(
% 0.21/0.51 ~member(f1(cs,ds),bs)|spl0_48),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1468])).
% 0.21/0.51 fof(f1471,plain,(
% 0.21/0.51 spl0_49 <=> member(f1(cs,ds),as)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1473,plain,(
% 0.21/0.51 ~member(f1(cs,ds),as)|spl0_49),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1471])).
% 0.21/0.51 fof(f1474,plain,(
% 0.21/0.51 ~member(f1(cs,ds),bs)|~member(f1(cs,ds),as)|spl0_1),
% 0.21/0.51 inference(resolution,[status(thm)],[f1452,f58])).
% 0.21/0.51 fof(f1475,plain,(
% 0.21/0.51 ~spl0_48|~spl0_49|spl0_1),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1474,f1468,f1471,f56])).
% 0.21/0.51 fof(f1476,plain,(
% 0.21/0.51 spl0_50 <=> member(f1(ds,cs),as)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1478,plain,(
% 0.21/0.51 ~member(f1(ds,cs),as)|spl0_50),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1476])).
% 0.21/0.51 fof(f1479,plain,(
% 0.21/0.51 spl0_51 <=> member(f1(ds,cs),bs)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1482,plain,(
% 0.21/0.51 ~member(f1(ds,cs),as)|~member(f1(ds,cs),bs)|spl0_3),
% 0.21/0.51 inference(resolution,[status(thm)],[f1453,f66])).
% 0.21/0.51 fof(f1483,plain,(
% 0.21/0.51 ~spl0_50|~spl0_51|spl0_3),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1482,f1476,f1479,f64])).
% 0.21/0.51 fof(f1484,plain,(
% 0.21/0.51 ![X0]: (~member(f1(cs,ds),intersection(X0,bs))|spl0_48)),
% 0.21/0.51 inference(resolution,[status(thm)],[f1470,f21])).
% 0.21/0.51 fof(f1485,plain,(
% 0.21/0.51 ![X0]: (~member(f1(cs,ds),intersection(bs,X0))|spl0_48)),
% 0.21/0.51 inference(resolution,[status(thm)],[f1470,f19])).
% 0.21/0.51 fof(f1491,plain,(
% 0.21/0.51 ~member(f1(cs,ds),cs)|spl0_48),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f26,f1484])).
% 0.21/0.51 fof(f1492,plain,(
% 0.21/0.51 ~spl0_0|spl0_48),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1491,f53,f1468])).
% 0.21/0.51 fof(f1493,plain,(
% 0.21/0.51 ![X0]: (~member(f1(ds,cs),intersection(X0,as))|spl0_50)),
% 0.21/0.51 inference(resolution,[status(thm)],[f1478,f21])).
% 0.21/0.51 fof(f1500,plain,(
% 0.21/0.51 ~member(f1(ds,cs),ds)|spl0_50),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f27,f1493])).
% 0.21/0.51 fof(f1501,plain,(
% 0.21/0.51 ~spl0_2|spl0_50),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1500,f61,f1476])).
% 0.21/0.51 fof(f1502,plain,(
% 0.21/0.51 ![X0]: (~member(f1(cs,ds),intersection(X0,as))|spl0_49)),
% 0.21/0.51 inference(resolution,[status(thm)],[f1473,f21])).
% 0.21/0.51 fof(f1503,plain,(
% 0.21/0.51 ![X0]: (~member(f1(cs,ds),intersection(as,X0))|spl0_49)),
% 0.21/0.51 inference(resolution,[status(thm)],[f1473,f19])).
% 0.21/0.51 fof(f1513,plain,(
% 0.21/0.51 ~member(f1(cs,ds),cs)|spl0_49),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f26,f1503])).
% 0.21/0.51 fof(f1514,plain,(
% 0.21/0.51 ~spl0_0|spl0_49),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1513,f53,f1471])).
% 0.21/0.51 fof(f1520,plain,(
% 0.21/0.51 ~member(f1(cs,ds),as)|~member(f1(cs,ds),bs)|spl0_0),
% 0.21/0.51 inference(resolution,[status(thm)],[f55,f1453])).
% 0.21/0.51 fof(f1521,plain,(
% 0.21/0.51 ~spl0_49|~spl0_48|spl0_0),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1520,f1471,f1468,f53])).
% 0.21/0.51 fof(f1522,plain,(
% 0.21/0.51 ~member(f1(cs,ds),ds)|spl0_49),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f27,f1502])).
% 0.21/0.51 fof(f1523,plain,(
% 0.21/0.51 ~spl0_1|spl0_49),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1522,f56,f1471])).
% 0.21/0.51 fof(f1531,plain,(
% 0.21/0.51 ~member(f1(cs,ds),ds)|spl0_48),
% 0.21/0.51 inference(paramodulation,[status(thm)],[f27,f1485])).
% 0.21/0.51 fof(f1532,plain,(
% 0.21/0.51 ~spl0_1|spl0_48),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1531,f56,f1468])).
% 0.21/0.51 fof(f1534,plain,(
% 0.21/0.51 $false),
% 0.21/0.51 inference(sat_refutation,[status(thm)],[f60,f68,f73,f77,f79,f1298,f1303,f1308,f1313,f1318,f1323,f1328,f1333,f1338,f1343,f1348,f1353,f1358,f1363,f1368,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1475,f1483,f1492,f1501,f1514,f1521,f1523,f1532])).
% 0.21/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.51 % Elapsed time: 0.162952 seconds
% 0.21/0.51 % CPU time: 1.204784 seconds
% 0.21/0.51 % Total memory used: 76.200 MB
% 0.21/0.51 % Net memory used: 74.750 MB
%------------------------------------------------------------------------------