TSTP Solution File: PUZ018-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 : Wed May 31 12:31:47 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 : Tue May 30 09:58:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X]: (( ~ all_on(X)| on(a,X) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X]: (( ~ all_on(X)| on(b,X) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X]: (( ~ all_on(X)| on(c,X) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 consecutive(sunday,monday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 consecutive(monday,tuesday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 consecutive(tuesday,wednesday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 consecutive(wednesday,thursday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,axiom,(
% 0.13/0.38 consecutive(thursday,friday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,axiom,(
% 0.13/0.38 ~ same_person(a,b) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,axiom,(
% 0.13/0.38 ~ same_person(a,c) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,axiom,(
% 0.13/0.38 ~ same_person(b,c) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,axiom,(
% 0.13/0.38 ~ same_day(sunday,tuesday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,axiom,(
% 0.13/0.38 ~ same_day(sunday,thursday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f26,axiom,(
% 0.13/0.38 ~ same_day(monday,thursday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f30,axiom,(
% 0.13/0.38 ~ same_day(tuesday,thursday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f39,hypothesis,(
% 0.13/0.38 ( all_on(sunday)| all_on(monday)| all_on(tuesday)| all_on(wednesday)| all_on(thursday)| all_on(friday)| all_on(saturday) ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f40,hypothesis,(
% 0.13/0.38 (![X,Y,Z,W,U]: (( ~ consecutive(X,Y)| ~ consecutive(Y,Z)| ~ consecutive(Z,W)| ~ on(U,X)| ~ on(U,Y)| ~ on(U,Z) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f41,hypothesis,(
% 0.13/0.38 (![X,Y,Z,W]: (( on(X,Y)| on(X,Z)| on(W,Y)| on(W,Z)| same_person(X,W)| same_day(Y,Z) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f42,hypothesis,(
% 0.13/0.38 ~ on(a,sunday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f43,hypothesis,(
% 0.13/0.38 ~ on(a,tuesday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f44,hypothesis,(
% 0.13/0.38 ~ on(a,thursday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f45,hypothesis,(
% 0.13/0.38 ~ on(b,thursday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f46,hypothesis,(
% 0.13/0.38 ~ on(b,saturday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f47,hypothesis,(
% 0.13/0.38 ~ on(c,sunday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f48,negated_conjecture,(
% 0.13/0.38 ~ all_on(friday) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 ![X0]: (~all_on(X0)|on(a,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ![X0]: (~all_on(X0)|on(b,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 ![X0]: (~all_on(X0)|on(c,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 consecutive(sunday,monday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 consecutive(monday,tuesday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 consecutive(tuesday,wednesday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 consecutive(wednesday,thursday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 consecutive(thursday,friday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 ~same_person(a,b)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 ~same_person(a,c)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 ~same_person(b,c)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ~same_day(sunday,tuesday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ~same_day(sunday,thursday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 ~same_day(monday,thursday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 ~same_day(tuesday,thursday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 all_on(sunday)|all_on(monday)|all_on(tuesday)|all_on(wednesday)|all_on(thursday)|all_on(friday)|all_on(saturday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f39])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 ![Z,U]: ((![Y]: ((![X]: (((~consecutive(X,Y)|~consecutive(Y,Z))|(![W]: ~consecutive(Z,W)))|~on(U,X)))|~on(U,Y)))|~on(U,Z))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (~consecutive(X0,X1)|~consecutive(X1,X2)|~consecutive(X2,X3)|~on(X4,X0)|~on(X4,X1)|~on(X4,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f88])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![Y,Z]: ((![X,W]: ((((on(X,Y)|on(X,Z))|on(W,Y))|on(W,Z))|same_person(X,W)))|same_day(Y,Z))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f41])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (on(X0,X1)|on(X0,X2)|on(X3,X1)|on(X3,X2)|same_person(X0,X3)|same_day(X1,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f90])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 ~on(a,sunday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.38 fof(f93,plain,(
% 0.13/0.38 ~on(a,tuesday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.38 fof(f94,plain,(
% 0.13/0.38 ~on(a,thursday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.38 fof(f95,plain,(
% 0.13/0.38 ~on(b,thursday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 ~on(b,saturday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 ~on(c,sunday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 ~all_on(friday)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 spl0_0 <=> all_on(sunday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 all_on(sunday)|~spl0_0),
% 0.13/0.38 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 spl0_1 <=> all_on(monday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 all_on(monday)|~spl0_1),
% 0.13/0.38 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 spl0_2 <=> all_on(tuesday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 all_on(tuesday)|~spl0_2),
% 0.13/0.38 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 spl0_3 <=> all_on(wednesday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 all_on(wednesday)|~spl0_3),
% 0.13/0.38 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 spl0_4 <=> all_on(thursday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 all_on(thursday)|~spl0_4),
% 0.13/0.38 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 spl0_5 <=> all_on(friday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 all_on(friday)|~spl0_5),
% 0.13/0.38 inference(component_clause,[status(thm)],[f114])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 spl0_6 <=> all_on(saturday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 all_on(saturday)|~spl0_6),
% 0.13/0.38 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 spl0_0|spl0_1|spl0_2|spl0_3|spl0_4|spl0_5|spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f87,f99,f102,f105,f108,f111,f114,f117])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 ~all_on(saturday)),
% 0.13/0.38 inference(resolution,[status(thm)],[f96,f50])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 $false|~spl0_6),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f128,f118])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 ~spl0_6),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f129])).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 $false|~spl0_5),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f115,f98])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 ~spl0_5),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f131])).
% 0.13/0.38 fof(f133,plain,(
% 0.13/0.38 ~all_on(thursday)),
% 0.13/0.38 inference(resolution,[status(thm)],[f95,f50])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ~all_on(tuesday)),
% 0.13/0.38 inference(resolution,[status(thm)],[f93,f49])).
% 0.13/0.38 fof(f136,plain,(
% 0.13/0.38 ~all_on(sunday)),
% 0.13/0.38 inference(resolution,[status(thm)],[f92,f49])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~consecutive(X0,X1)|~consecutive(X1,X2)|~consecutive(X2,X3)|~on(c,X0)|~on(c,X2)|~all_on(X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f89,f51])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~consecutive(X0,X1)|~consecutive(X1,X2)|~consecutive(X2,X3)|~on(b,X0)|~on(b,X2)|~all_on(X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f89,f50])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 ![X0,X1]: (on(b,X0)|on(b,X1)|on(c,X0)|on(c,X1)|same_day(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f91,f64])).
% 0.13/0.38 fof(f147,plain,(
% 0.13/0.38 ![X0,X1]: (on(a,X0)|on(a,X1)|on(c,X0)|on(c,X1)|same_day(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f91,f63])).
% 0.13/0.38 fof(f148,plain,(
% 0.13/0.38 ![X0,X1]: (on(a,X0)|on(a,X1)|on(b,X0)|on(b,X1)|same_day(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f91,f62])).
% 0.13/0.38 fof(f150,plain,(
% 0.13/0.38 $false|~spl0_4),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f112,f133])).
% 0.13/0.38 fof(f151,plain,(
% 0.13/0.38 ~spl0_4),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f150])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 spl0_8 <=> on(b,sunday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f166,plain,(
% 0.13/0.38 spl0_9 <=> on(a,sunday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f167,plain,(
% 0.13/0.38 on(a,sunday)|~spl0_9),
% 0.13/0.38 inference(component_clause,[status(thm)],[f166])).
% 0.13/0.38 fof(f169,plain,(
% 0.13/0.38 spl0_10 <=> on(c,sunday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f170,plain,(
% 0.13/0.38 on(c,sunday)|~spl0_10),
% 0.13/0.38 inference(component_clause,[status(thm)],[f169])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 $false|~spl0_0),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f100,f136])).
% 0.13/0.38 fof(f198,plain,(
% 0.13/0.38 ~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f197])).
% 0.13/0.38 fof(f208,plain,(
% 0.13/0.38 spl0_17 <=> on(b,monday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f209,plain,(
% 0.13/0.38 on(b,monday)|~spl0_17),
% 0.13/0.38 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.38 fof(f225,plain,(
% 0.13/0.38 spl0_19 <=> on(a,X0)|on(b,X0)|same_day(X0,thursday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f226,plain,(
% 0.13/0.38 ![X0]: (on(a,X0)|on(b,X0)|same_day(X0,thursday)|~spl0_19)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f225])).
% 0.13/0.38 fof(f228,plain,(
% 0.13/0.38 spl0_20 <=> on(b,thursday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f229,plain,(
% 0.13/0.38 on(b,thursday)|~spl0_20),
% 0.13/0.38 inference(component_clause,[status(thm)],[f228])).
% 0.13/0.38 fof(f231,plain,(
% 0.13/0.38 ![X0]: (on(a,X0)|on(b,X0)|on(b,thursday)|same_day(X0,thursday))),
% 0.13/0.38 inference(resolution,[status(thm)],[f148,f94])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 spl0_19|spl0_20),
% 0.13/0.38 inference(split_clause,[status(thm)],[f231,f225,f228])).
% 0.13/0.38 fof(f236,plain,(
% 0.13/0.38 spl0_22 <=> on(b,tuesday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f250,plain,(
% 0.13/0.38 $false|~spl0_20),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f229,f95])).
% 0.13/0.38 fof(f251,plain,(
% 0.13/0.38 ~spl0_20),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f250])).
% 0.13/0.38 fof(f252,plain,(
% 0.13/0.38 spl0_24 <=> on(a,tuesday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f253,plain,(
% 0.13/0.38 on(a,tuesday)|~spl0_24),
% 0.13/0.38 inference(component_clause,[status(thm)],[f252])).
% 0.13/0.38 fof(f255,plain,(
% 0.13/0.38 spl0_25 <=> on(c,tuesday)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f256,plain,(
% 0.13/0.38 on(c,tuesday)|~spl0_25),
% 0.13/0.38 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.38 fof(f257,plain,(
% 0.13/0.38 ~on(c,tuesday)|spl0_25),
% 0.13/0.38 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.38 fof(f266,plain,(
% 0.13/0.38 spl0_28 <=> ~consecutive(tuesday,X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f267,plain,(
% 0.13/0.38 ![X0]: (~consecutive(tuesday,X0)|~spl0_28)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f266])).
% 0.13/0.38 fof(f283,plain,(
% 0.13/0.38 $false|~spl0_2),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f106,f135])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 ~spl0_2),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f283])).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 $false|~spl0_28),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f56,f267])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 ~spl0_28),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f287])).
% 0.13/0.38 fof(f305,plain,(
% 0.13/0.38 on(a,tuesday)|on(b,tuesday)|~spl0_19),
% 0.13/0.38 inference(resolution,[status(thm)],[f226,f78])).
% 0.13/0.38 fof(f306,plain,(
% 0.13/0.38 spl0_24|spl0_22|~spl0_19),
% 0.13/0.39 inference(split_clause,[status(thm)],[f305,f252,f236,f225])).
% 0.13/0.39 fof(f307,plain,(
% 0.13/0.39 on(a,sunday)|on(b,sunday)|~spl0_19),
% 0.13/0.39 inference(resolution,[status(thm)],[f226,f69])).
% 0.13/0.39 fof(f308,plain,(
% 0.13/0.39 spl0_9|spl0_8|~spl0_19),
% 0.13/0.39 inference(split_clause,[status(thm)],[f307,f166,f157,f225])).
% 0.13/0.39 fof(f309,plain,(
% 0.13/0.39 spl0_34 <=> on(a,X0)|on(c,X0)|same_day(X0,tuesday)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f310,plain,(
% 0.13/0.39 ![X0]: (on(a,X0)|on(c,X0)|same_day(X0,tuesday)|~spl0_34)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f309])).
% 0.13/0.39 fof(f312,plain,(
% 0.13/0.39 ![X0]: (on(a,X0)|on(a,tuesday)|on(c,X0)|same_day(X0,tuesday)|spl0_25)),
% 0.13/0.39 inference(resolution,[status(thm)],[f257,f147])).
% 0.13/0.39 fof(f313,plain,(
% 0.13/0.39 spl0_34|spl0_24|spl0_25),
% 0.13/0.39 inference(split_clause,[status(thm)],[f312,f309,f252,f255])).
% 0.13/0.39 fof(f326,plain,(
% 0.13/0.39 spl0_38 <=> ~consecutive(wednesday,X1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f327,plain,(
% 0.13/0.39 ![X0]: (~consecutive(wednesday,X0)|~spl0_38)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f326])).
% 0.13/0.39 fof(f343,plain,(
% 0.13/0.39 $false|~spl0_38),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f57,f327])).
% 0.13/0.39 fof(f344,plain,(
% 0.13/0.39 ~spl0_38),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f343])).
% 0.13/0.39 fof(f375,plain,(
% 0.13/0.39 spl0_45 <=> ~consecutive(X0,wednesday)|~on(c,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f376,plain,(
% 0.13/0.39 ![X0]: (~consecutive(X0,wednesday)|~on(c,X0)|~spl0_45)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f375])).
% 0.13/0.39 fof(f378,plain,(
% 0.13/0.39 spl0_46 <=> ~consecutive(wednesday,X1)|~consecutive(X1,X2)|~on(c,X1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f379,plain,(
% 0.13/0.39 ![X0,X1]: (~consecutive(wednesday,X0)|~consecutive(X0,X1)|~on(c,X0)|~spl0_46)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f378])).
% 0.13/0.39 fof(f381,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~consecutive(X0,wednesday)|~consecutive(wednesday,X1)|~consecutive(X1,X2)|~on(c,X0)|~on(c,X1)|~spl0_3)),
% 0.13/0.39 inference(resolution,[status(thm)],[f138,f109])).
% 0.13/0.39 fof(f382,plain,(
% 0.13/0.39 spl0_45|spl0_46|~spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f381,f375,f378,f108])).
% 0.13/0.39 fof(f393,plain,(
% 0.13/0.39 spl0_49 <=> ~consecutive(X0,monday)|~on(b,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f394,plain,(
% 0.13/0.39 ![X0]: (~consecutive(X0,monday)|~on(b,X0)|~spl0_49)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f393])).
% 0.13/0.39 fof(f396,plain,(
% 0.13/0.39 spl0_50 <=> ~consecutive(monday,X1)|~consecutive(X1,X2)|~on(b,X1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f397,plain,(
% 0.13/0.39 ![X0,X1]: (~consecutive(monday,X0)|~consecutive(X0,X1)|~on(b,X0)|~spl0_50)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f396])).
% 0.13/0.39 fof(f399,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~consecutive(X0,monday)|~consecutive(monday,X1)|~consecutive(X1,X2)|~on(b,X0)|~on(b,X1)|~spl0_1)),
% 0.13/0.39 inference(resolution,[status(thm)],[f140,f103])).
% 0.13/0.39 fof(f400,plain,(
% 0.13/0.39 spl0_49|spl0_50|~spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f399,f393,f396,f102])).
% 0.13/0.39 fof(f423,plain,(
% 0.13/0.39 spl0_53 <=> on(c,monday)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f434,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~consecutive(X0,monday)|~consecutive(monday,X1)|~consecutive(X1,X2)|~on(b,X0)|~on(b,X1)|~spl0_17)),
% 0.13/0.39 inference(resolution,[status(thm)],[f209,f89])).
% 0.13/0.39 fof(f435,plain,(
% 0.13/0.39 spl0_49|spl0_50|~spl0_17),
% 0.13/0.39 inference(split_clause,[status(thm)],[f434,f393,f396,f208])).
% 0.13/0.39 fof(f489,plain,(
% 0.13/0.39 ~on(c,tuesday)|~spl0_45),
% 0.13/0.39 inference(resolution,[status(thm)],[f376,f56])).
% 0.13/0.39 fof(f490,plain,(
% 0.13/0.39 ![X0]: (on(a,X0)|on(a,tuesday)|on(c,X0)|same_day(X0,tuesday)|~spl0_45)),
% 0.13/0.39 inference(resolution,[status(thm)],[f489,f147])).
% 0.13/0.39 fof(f491,plain,(
% 0.13/0.39 spl0_34|spl0_24|~spl0_45),
% 0.13/0.39 inference(split_clause,[status(thm)],[f490,f309,f252,f375])).
% 0.13/0.39 fof(f495,plain,(
% 0.13/0.39 $false|~spl0_24),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f253,f93])).
% 0.13/0.39 fof(f496,plain,(
% 0.13/0.39 ~spl0_24),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f495])).
% 0.13/0.39 fof(f509,plain,(
% 0.13/0.39 $false|~spl0_9),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f167,f92])).
% 0.13/0.39 fof(f510,plain,(
% 0.13/0.39 ~spl0_9),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f509])).
% 0.13/0.39 fof(f558,plain,(
% 0.13/0.39 ~on(b,sunday)|~spl0_49),
% 0.13/0.39 inference(resolution,[status(thm)],[f394,f54])).
% 0.13/0.39 fof(f559,plain,(
% 0.13/0.39 ~spl0_8|~spl0_49),
% 0.13/0.39 inference(split_clause,[status(thm)],[f558,f157,f393])).
% 0.13/0.39 fof(f580,plain,(
% 0.13/0.39 spl0_61 <=> ~consecutive(thursday,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f581,plain,(
% 0.13/0.39 ![X0]: (~consecutive(thursday,X0)|~spl0_61)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f580])).
% 0.13/0.39 fof(f587,plain,(
% 0.13/0.39 on(a,sunday)|on(c,sunday)|~spl0_34),
% 0.13/0.39 inference(resolution,[status(thm)],[f310,f67])).
% 0.13/0.39 fof(f588,plain,(
% 0.13/0.39 spl0_9|spl0_10|~spl0_34),
% 0.13/0.39 inference(split_clause,[status(thm)],[f587,f166,f169,f309])).
% 0.13/0.39 fof(f589,plain,(
% 0.13/0.39 $false|~spl0_10),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f170,f97])).
% 0.13/0.39 fof(f590,plain,(
% 0.13/0.39 ~spl0_10),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f589])).
% 0.13/0.39 fof(f614,plain,(
% 0.13/0.39 spl0_62 <=> ~consecutive(X0,tuesday)|~on(c,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f615,plain,(
% 0.13/0.39 ![X0]: (~consecutive(X0,tuesday)|~on(c,X0)|~spl0_62)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f614])).
% 0.13/0.39 fof(f626,plain,(
% 0.13/0.39 spl0_64 <=> ~consecutive(tuesday,X1)|~consecutive(X1,X2)|~on(c,X1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f627,plain,(
% 0.13/0.39 ![X0,X1]: (~consecutive(tuesday,X0)|~consecutive(X0,X1)|~on(c,X0)|~spl0_64)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f626])).
% 0.13/0.39 fof(f629,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~consecutive(X0,tuesday)|~consecutive(tuesday,X1)|~consecutive(X1,X2)|~on(c,X0)|~on(c,X1)|~spl0_25)),
% 0.13/0.39 inference(resolution,[status(thm)],[f256,f89])).
% 0.13/0.39 fof(f630,plain,(
% 0.13/0.39 spl0_62|spl0_64|~spl0_25),
% 0.13/0.39 inference(split_clause,[status(thm)],[f629,f614,f626,f255])).
% 0.13/0.39 fof(f642,plain,(
% 0.13/0.39 ~on(c,monday)|~spl0_62),
% 0.13/0.39 inference(resolution,[status(thm)],[f615,f55])).
% 0.13/0.39 fof(f643,plain,(
% 0.13/0.39 ~spl0_53|~spl0_62),
% 0.13/0.39 inference(split_clause,[status(thm)],[f642,f423,f614])).
% 0.13/0.39 fof(f644,plain,(
% 0.13/0.39 ![X0]: (~consecutive(tuesday,X0)|~on(b,tuesday)|~spl0_50)),
% 0.13/0.39 inference(resolution,[status(thm)],[f397,f55])).
% 0.13/0.39 fof(f645,plain,(
% 0.13/0.39 spl0_28|~spl0_22|~spl0_50),
% 0.13/0.39 inference(split_clause,[status(thm)],[f644,f266,f236,f396])).
% 0.13/0.39 fof(f698,plain,(
% 0.13/0.39 spl0_69 <=> on(c,thursday)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f700,plain,(
% 0.13/0.39 ~on(c,thursday)|spl0_69),
% 0.13/0.39 inference(component_clause,[status(thm)],[f698])).
% 0.13/0.39 fof(f701,plain,(
% 0.13/0.39 ![X0]: (~consecutive(thursday,X0)|~on(c,thursday)|~spl0_46)),
% 0.13/0.39 inference(resolution,[status(thm)],[f379,f57])).
% 0.13/0.39 fof(f702,plain,(
% 0.13/0.39 spl0_61|~spl0_69|~spl0_46),
% 0.13/0.39 inference(split_clause,[status(thm)],[f701,f580,f698,f378])).
% 0.13/0.39 fof(f711,plain,(
% 0.13/0.39 spl0_72 <=> on(b,X0)|on(c,X0)|same_day(X0,thursday)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f712,plain,(
% 0.13/0.39 ![X0]: (on(b,X0)|on(c,X0)|same_day(X0,thursday)|~spl0_72)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f711])).
% 0.13/0.39 fof(f714,plain,(
% 0.13/0.39 ![X0]: (on(b,X0)|on(b,thursday)|on(c,X0)|same_day(X0,thursday)|spl0_69)),
% 0.13/0.39 inference(resolution,[status(thm)],[f700,f146])).
% 0.13/0.39 fof(f715,plain,(
% 0.13/0.39 spl0_72|spl0_20|spl0_69),
% 0.13/0.39 inference(split_clause,[status(thm)],[f714,f711,f228,f698])).
% 0.13/0.39 fof(f731,plain,(
% 0.13/0.39 $false|~spl0_61),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f58,f581])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 ~spl0_61),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f731])).
% 0.13/0.39 fof(f742,plain,(
% 0.13/0.39 spl0_75 <=> on(c,wednesday)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f744,plain,(
% 0.13/0.39 ~on(c,wednesday)|spl0_75),
% 0.13/0.39 inference(component_clause,[status(thm)],[f742])).
% 0.13/0.39 fof(f747,plain,(
% 0.13/0.39 on(b,monday)|on(c,monday)|~spl0_72),
% 0.13/0.39 inference(resolution,[status(thm)],[f712,f74])).
% 0.13/0.39 fof(f748,plain,(
% 0.13/0.39 spl0_17|spl0_53|~spl0_72),
% 0.13/0.39 inference(split_clause,[status(thm)],[f747,f208,f423,f711])).
% 0.13/0.39 fof(f802,plain,(
% 0.13/0.39 ![X0]: (~consecutive(wednesday,X0)|~on(c,wednesday)|~spl0_64)),
% 0.13/0.39 inference(resolution,[status(thm)],[f627,f56])).
% 0.13/0.39 fof(f803,plain,(
% 0.13/0.39 spl0_38|~spl0_75|~spl0_64),
% 0.13/0.39 inference(split_clause,[status(thm)],[f802,f326,f742,f626])).
% 0.13/0.39 fof(f814,plain,(
% 0.13/0.39 ~all_on(wednesday)|spl0_75),
% 0.13/0.39 inference(resolution,[status(thm)],[f744,f51])).
% 0.13/0.39 fof(f815,plain,(
% 0.13/0.39 ~spl0_3|spl0_75),
% 0.13/0.39 inference(split_clause,[status(thm)],[f814,f108,f742])).
% 0.13/0.39 fof(f816,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f120,f130,f132,f151,f198,f232,f251,f284,f288,f306,f308,f313,f344,f382,f400,f435,f491,f496,f510,f559,f588,f590,f630,f643,f645,f702,f715,f732,f748,f803,f815])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.048046 seconds
% 0.13/0.39 % CPU time: 0.266924 seconds
% 0.13/0.39 % Memory used: 5.699 MB
%------------------------------------------------------------------------------