TSTP Solution File: KRS145+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:24:53 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 23:17:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37  fof(f8,axiom,(
% 0.13/0.37    (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f9,axiom,(
% 0.13/0.37    (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f10,axiom,(
% 0.13/0.37    (! [X] :( cc(X)=> ( (! [Y0,Y1,Y2] :( ( rp(X,Y0)& rp(X,Y1)& rp(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ))& (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ) )) ) )),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f11,conjecture,(
% 0.13/0.37    ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> ( (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ))& (! [Y0,Y1,Y2] :( ( rp(X,Y0)& rp(X,Y1)& rp(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ) )) ) )) ),
% 0.13/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f12,negated_conjecture,(
% 0.13/0.37    ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> ( (? [Y0,Y1] :( rp(X,Y0)& rp(X,Y1)& Y0 != Y1 ))& (! [Y0,Y1,Y2] :( ( rp(X,Y0)& rp(X,Y1)& rp(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ) )) ) )) )),
% 0.13/0.37    inference(negated_conjecture,[status(cth)],[f11])).
% 0.13/0.37  fof(f34,plain,(
% 0.13/0.37    (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.37  fof(f35,plain,(
% 0.13/0.37    ![X0]: (cowlThing(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37  fof(f36,plain,(
% 0.13/0.37    ![X0]: (~cowlNothing(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37  fof(f37,plain,(
% 0.13/0.37    ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.13/0.37    inference(NNF_transformation,[status(esa)],[f9])).
% 0.13/0.37  fof(f38,plain,(
% 0.13/0.37    (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f37])).
% 0.13/0.37  fof(f39,plain,(
% 0.13/0.37    ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.37  fof(f40,plain,(
% 0.13/0.37    ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.37  fof(f41,plain,(
% 0.13/0.37    ![X]: (~cc(X)|((![Y0,Y1,Y2]: (((~rp(X,Y0)|~rp(X,Y1))|~rp(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))&(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.37  fof(f42,plain,(
% 0.13/0.37    ![X]: (~cc(X)|((![Y0,Y1,Y2]: (((~rp(X,Y0)|~rp(X,Y1))|~rp(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))&((rp(X,sk0_0(X))&rp(X,sk0_1(X)))&~sk0_0(X)=sk0_1(X))))),
% 0.13/0.37    inference(skolemization,[status(esa)],[f41])).
% 0.13/0.37  fof(f43,plain,(
% 0.13/0.37    ![X0,X1,X2,X3]: (~cc(X0)|~rp(X0,X1)|~rp(X0,X2)|~rp(X0,X3)|X1=X2|X1=X3|X2=X3)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.37  fof(f44,plain,(
% 0.13/0.37    ![X0]: (~cc(X0)|rp(X0,sk0_0(X0)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.37  fof(f45,plain,(
% 0.13/0.37    ![X0]: (~cc(X0)|rp(X0,sk0_1(X0)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.37  fof(f46,plain,(
% 0.13/0.37    ![X0]: (~cc(X0)|~sk0_0(X0)=sk0_1(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.37  fof(f47,plain,(
% 0.13/0.37    (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cc(X)&((![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))|(?[Y0,Y1,Y2]: (((rp(X,Y0)&rp(X,Y1))&rp(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2)))))))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.37  fof(f48,plain,(
% 0.13/0.37    ![X]: (pd0_0(X)=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.13/0.37    introduced(predicate_definition,[f47])).
% 0.13/0.37  fof(f49,plain,(
% 0.13/0.37    ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: pd0_0(X)))|(?[X]: (cc(X)&((![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))|(?[Y0,Y1,Y2]: (((rp(X,Y0)&rp(X,Y1))&rp(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2))))))),
% 0.13/0.37    inference(formula_renaming,[status(thm)],[f47,f48])).
% 0.13/0.37  fof(f50,plain,(
% 0.13/0.37    (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: pd0_0(X)))|(?[X]: (cc(X)&((![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1))|(?[Y0,Y1,Y2]: (((rp(X,Y0)&rp(X,Y1))&rp(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2))))))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f49])).
% 0.13/0.37  fof(f51,plain,(
% 0.13/0.37    ((~cowlThing(sk0_2)|cowlNothing(sk0_3))|pd0_0(sk0_4))|(cc(sk0_5)&((![Y0,Y1]: ((~rp(sk0_5,Y0)|~rp(sk0_5,Y1))|Y0=Y1))|(((rp(sk0_5,sk0_6)&rp(sk0_5,sk0_7))&rp(sk0_5,sk0_8))&((~sk0_6=sk0_7&~sk0_6=sk0_8)&~sk0_7=sk0_8))))),
% 0.13/0.37    inference(skolemization,[status(esa)],[f50])).
% 0.13/0.37  fof(f52,plain,(
% 0.13/0.37    ~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|cc(sk0_5)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f53,plain,(
% 0.13/0.37    ![X0,X1]: (~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|rp(sk0_5,sk0_6))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f54,plain,(
% 0.13/0.37    ![X0,X1]: (~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|rp(sk0_5,sk0_7))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f55,plain,(
% 0.13/0.37    ![X0,X1]: (~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|rp(sk0_5,sk0_8))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f56,plain,(
% 0.13/0.37    ![X0,X1]: (~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|~sk0_6=sk0_7)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f57,plain,(
% 0.13/0.37    ![X0,X1]: (~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|~sk0_6=sk0_8)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f58,plain,(
% 0.13/0.37    ![X0,X1]: (~cowlThing(sk0_2)|cowlNothing(sk0_3)|pd0_0(sk0_4)|~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|~sk0_7=sk0_8)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37  fof(f59,plain,(
% 0.13/0.37    ![X]: (~pd0_0(X)|(xsd_string(X)<~>~xsd_integer(X)))),
% 0.13/0.37    inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.13/0.37  fof(f60,plain,(
% 0.13/0.37    ![X]: (~pd0_0(X)|((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X))))),
% 0.13/0.37    inference(NNF_transformation,[status(esa)],[f59])).
% 0.13/0.37  fof(f61,plain,(
% 0.13/0.37    ![X0]: (~pd0_0(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f60])).
% 0.13/0.37  fof(f62,plain,(
% 0.13/0.37    ![X0]: (~pd0_0(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f60])).
% 0.13/0.37  fof(f63,plain,(
% 0.13/0.37    spl0_0 <=> cowlThing(sk0_2)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f65,plain,(
% 0.13/0.37    ~cowlThing(sk0_2)|spl0_0),
% 0.13/0.37    inference(component_clause,[status(thm)],[f63])).
% 0.13/0.37  fof(f66,plain,(
% 0.13/0.37    spl0_1 <=> cowlNothing(sk0_3)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f67,plain,(
% 0.13/0.37    cowlNothing(sk0_3)|~spl0_1),
% 0.13/0.37    inference(component_clause,[status(thm)],[f66])).
% 0.13/0.37  fof(f69,plain,(
% 0.13/0.37    spl0_2 <=> pd0_0(sk0_4)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f70,plain,(
% 0.13/0.37    pd0_0(sk0_4)|~spl0_2),
% 0.13/0.37    inference(component_clause,[status(thm)],[f69])).
% 0.13/0.37  fof(f72,plain,(
% 0.13/0.37    spl0_3 <=> cc(sk0_5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f73,plain,(
% 0.13/0.37    cc(sk0_5)|~spl0_3),
% 0.13/0.37    inference(component_clause,[status(thm)],[f72])).
% 0.13/0.37  fof(f75,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f52,f63,f66,f69,f72])).
% 0.13/0.37  fof(f76,plain,(
% 0.13/0.37    spl0_4 <=> ~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f77,plain,(
% 0.13/0.37    ![X0,X1]: (~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=X1|~spl0_4)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f76])).
% 0.13/0.37  fof(f79,plain,(
% 0.13/0.37    spl0_5 <=> rp(sk0_5,sk0_6)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f80,plain,(
% 0.13/0.37    rp(sk0_5,sk0_6)|~spl0_5),
% 0.13/0.37    inference(component_clause,[status(thm)],[f79])).
% 0.13/0.37  fof(f82,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_4|spl0_5),
% 0.13/0.37    inference(split_clause,[status(thm)],[f53,f63,f66,f69,f76,f79])).
% 0.13/0.37  fof(f83,plain,(
% 0.13/0.37    spl0_6 <=> rp(sk0_5,sk0_7)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f84,plain,(
% 0.13/0.37    rp(sk0_5,sk0_7)|~spl0_6),
% 0.13/0.37    inference(component_clause,[status(thm)],[f83])).
% 0.13/0.37  fof(f86,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_4|spl0_6),
% 0.13/0.37    inference(split_clause,[status(thm)],[f54,f63,f66,f69,f76,f83])).
% 0.13/0.37  fof(f87,plain,(
% 0.13/0.37    spl0_7 <=> rp(sk0_5,sk0_8)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f88,plain,(
% 0.13/0.37    rp(sk0_5,sk0_8)|~spl0_7),
% 0.13/0.37    inference(component_clause,[status(thm)],[f87])).
% 0.13/0.37  fof(f90,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_4|spl0_7),
% 0.13/0.37    inference(split_clause,[status(thm)],[f55,f63,f66,f69,f76,f87])).
% 0.13/0.37  fof(f91,plain,(
% 0.13/0.37    spl0_8 <=> sk0_6=sk0_7),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f94,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_4|~spl0_8),
% 0.13/0.37    inference(split_clause,[status(thm)],[f56,f63,f66,f69,f76,f91])).
% 0.13/0.37  fof(f95,plain,(
% 0.13/0.37    spl0_9 <=> sk0_6=sk0_8),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f98,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_4|~spl0_9),
% 0.13/0.37    inference(split_clause,[status(thm)],[f57,f63,f66,f69,f76,f95])).
% 0.13/0.37  fof(f99,plain,(
% 0.13/0.37    spl0_10 <=> sk0_7=sk0_8),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f102,plain,(
% 0.13/0.37    ~spl0_0|spl0_1|spl0_2|spl0_4|~spl0_10),
% 0.13/0.37    inference(split_clause,[status(thm)],[f58,f63,f66,f69,f76,f99])).
% 0.13/0.37  fof(f103,plain,(
% 0.13/0.37    ![X0]: (~pd0_0(X0)|~xsd_integer(X0))),
% 0.13/0.37    inference(backward_subsumption_resolution,[status(thm)],[f61,f39])).
% 0.13/0.37  fof(f104,plain,(
% 0.13/0.37    ![X0]: (~pd0_0(X0)|~xsd_string(X0))),
% 0.13/0.37    inference(backward_subsumption_resolution,[status(thm)],[f62,f39])).
% 0.13/0.37  fof(f105,plain,(
% 0.13/0.37    $false|spl0_0),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f65,f35])).
% 0.13/0.37  fof(f106,plain,(
% 0.13/0.37    spl0_0),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f105])).
% 0.13/0.37  fof(f107,plain,(
% 0.13/0.37    ~xsd_string(sk0_4)|~spl0_2),
% 0.13/0.37    inference(resolution,[status(thm)],[f70,f104])).
% 0.13/0.37  fof(f108,plain,(
% 0.13/0.37    ~xsd_integer(sk0_4)|~spl0_2),
% 0.13/0.37    inference(resolution,[status(thm)],[f70,f103])).
% 0.13/0.37  fof(f109,plain,(
% 0.13/0.37    xsd_integer(sk0_4)|~spl0_2),
% 0.13/0.37    inference(resolution,[status(thm)],[f107,f40])).
% 0.13/0.37  fof(f110,plain,(
% 0.13/0.37    $false|~spl0_2),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f109,f108])).
% 0.13/0.37  fof(f111,plain,(
% 0.13/0.37    ~spl0_2),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f110])).
% 0.13/0.37  fof(f112,plain,(
% 0.13/0.37    $false|~spl0_1),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f67,f36])).
% 0.13/0.37  fof(f113,plain,(
% 0.13/0.37    ~spl0_1),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f112])).
% 0.13/0.37  fof(f114,plain,(
% 0.13/0.37    ~sk0_0(sk0_5)=sk0_1(sk0_5)|~spl0_3),
% 0.13/0.37    inference(resolution,[status(thm)],[f73,f46])).
% 0.13/0.37  fof(f115,plain,(
% 0.13/0.37    ![X0,X1,X2]: (~rp(sk0_5,X0)|~rp(sk0_5,X1)|~rp(sk0_5,X2)|X0=X1|X0=X2|X1=X2|~spl0_3)),
% 0.13/0.37    inference(resolution,[status(thm)],[f73,f43])).
% 0.13/0.37  fof(f121,plain,(
% 0.13/0.37    spl0_12 <=> ~rp(sk0_5,X0)|X0=sk0_0(sk0_5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f122,plain,(
% 0.13/0.37    ![X0]: (~rp(sk0_5,X0)|X0=sk0_0(sk0_5)|~spl0_12)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f121])).
% 0.13/0.37  fof(f124,plain,(
% 0.13/0.37    ![X0]: (~rp(sk0_5,X0)|X0=sk0_0(sk0_5)|~cc(sk0_5)|~spl0_4)),
% 0.13/0.37    inference(resolution,[status(thm)],[f77,f44])).
% 0.13/0.37  fof(f125,plain,(
% 0.13/0.37    spl0_12|~spl0_3|~spl0_4),
% 0.13/0.37    inference(split_clause,[status(thm)],[f124,f121,f72,f76])).
% 0.13/0.37  fof(f134,plain,(
% 0.13/0.37    ![X0,X1]: (~rp(sk0_5,X0)|~rp(sk0_5,X1)|X0=sk0_8|X0=X1|sk0_8=X1|~spl0_3|~spl0_7)),
% 0.13/0.37    inference(resolution,[status(thm)],[f115,f88])).
% 0.13/0.37  fof(f204,plain,(
% 0.13/0.37    spl0_26 <=> ~rp(sk0_5,X0)|X0=sk0_8|X0=sk0_6),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f205,plain,(
% 0.13/0.37    ![X0]: (~rp(sk0_5,X0)|X0=sk0_8|X0=sk0_6|~spl0_26)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f204])).
% 0.13/0.37  fof(f207,plain,(
% 0.13/0.37    ![X0]: (~rp(sk0_5,X0)|X0=sk0_8|X0=sk0_6|sk0_8=sk0_6|~spl0_3|~spl0_7|~spl0_5)),
% 0.13/0.37    inference(resolution,[status(thm)],[f134,f80])).
% 0.13/0.37  fof(f208,plain,(
% 0.13/0.37    spl0_26|spl0_9|~spl0_3|~spl0_7|~spl0_5),
% 0.13/0.37    inference(split_clause,[status(thm)],[f207,f204,f95,f72,f87,f79])).
% 0.13/0.37  fof(f280,plain,(
% 0.13/0.37    spl0_40 <=> sk0_0(sk0_5)=sk0_1(sk0_5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f281,plain,(
% 0.13/0.37    sk0_0(sk0_5)=sk0_1(sk0_5)|~spl0_40),
% 0.13/0.37    inference(component_clause,[status(thm)],[f280])).
% 0.13/0.37  fof(f285,plain,(
% 0.13/0.37    $false|~spl0_3|~spl0_40),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f281,f114])).
% 0.13/0.37  fof(f286,plain,(
% 0.13/0.37    ~spl0_3|~spl0_40),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f285])).
% 0.13/0.37  fof(f296,plain,(
% 0.13/0.37    sk0_7=sk0_8|sk0_7=sk0_6|~spl0_26|~spl0_6),
% 0.13/0.37    inference(resolution,[status(thm)],[f205,f84])).
% 0.13/0.37  fof(f297,plain,(
% 0.13/0.37    spl0_10|spl0_8|~spl0_26|~spl0_6),
% 0.13/0.37    inference(split_clause,[status(thm)],[f296,f99,f91,f204,f83])).
% 0.13/0.37  fof(f391,plain,(
% 0.13/0.37    sk0_1(sk0_5)=sk0_0(sk0_5)|~cc(sk0_5)|~spl0_12),
% 0.13/0.37    inference(resolution,[status(thm)],[f122,f45])).
% 0.13/0.37  fof(f392,plain,(
% 0.13/0.37    spl0_40|~spl0_3|~spl0_12),
% 0.13/0.37    inference(split_clause,[status(thm)],[f391,f280,f72,f121])).
% 0.13/0.37  fof(f395,plain,(
% 0.13/0.37    $false),
% 0.13/0.37    inference(sat_refutation,[status(thm)],[f75,f82,f86,f90,f94,f98,f102,f106,f111,f113,f125,f208,f286,f297,f392])).
% 0.13/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39  % Elapsed time: 0.023483 seconds
% 0.13/0.39  % CPU time: 0.047658 seconds
% 0.13/0.39  % Total memory used: 13.236 MB
% 0.13/0.39  % Net memory used: 13.166 MB
%------------------------------------------------------------------------------