TSTP Solution File: KRS143+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% 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 20:24:53 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n029.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 23:42:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,axiom,(
% 0.13/0.36 (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,axiom,(
% 0.13/0.36 (! [X] :( cc(X)=> (? [Y0] : rp(X,Y0) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,axiom,(
% 0.13/0.36 (! [X] :( cc(X)=> (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f12,conjecture,(
% 0.13/0.36 ( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> ( (? [Y0] : rp(X,Y0))& (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) ) )) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f13,negated_conjecture,(
% 0.13/0.36 ~(( (! [X] :( cowlThing(X)& ~ cowlNothing(X) ))& (! [X] :( xsd_string(X)<=> ~ xsd_integer(X) ))& (! [X] :( cc(X)=> ( (? [Y0] : rp(X,Y0))& (! [Y0,Y1] :( ( rp(X,Y0)& rp(X,Y1) )=> Y0 = Y1 ) )) ) )) )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f12])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0]: (cowlThing(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ![X0]: (~cowlNothing(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 ![X]: ((~xsd_string(X)|~xsd_integer(X))&(xsd_string(X)|xsd_integer(X)))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 (![X]: (~xsd_string(X)|~xsd_integer(X)))&(![X]: (xsd_string(X)|xsd_integer(X)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f38])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 ![X0]: (~xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f39])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 ![X0]: (xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f39])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 ![X]: (~cc(X)|(?[Y0]: rp(X,Y0)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 ![X]: (~cc(X)|rp(X,sk0_0(X)))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f42])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 ![X0]: (~cc(X0)|rp(X0,sk0_0(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 ![X]: (~cc(X)|(![Y0,Y1]: ((~rp(X,Y0)|~rp(X,Y1))|Y0=Y1)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~cc(X0)|~rp(X0,X1)|~rp(X0,X2)|X1=X2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 (((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: (xsd_string(X)<~>~xsd_integer(X))))|(?[X]: (cc(X)&((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 ![X]: (pd0_0(X)=>(xsd_string(X)<~>~xsd_integer(X)))),
% 0.13/0.36 introduced(predicate_definition,[f47])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ((?[X]: (~cowlThing(X)|cowlNothing(X)))|(?[X]: pd0_0(X)))|(?[X]: (cc(X)&((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.13/0.36 inference(formula_renaming,[status(thm)],[f47,f48])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 (((?[X]: ~cowlThing(X))|(?[X]: cowlNothing(X)))|(?[X]: pd0_0(X)))|(?[X]: (cc(X)&((![Y0]: ~rp(X,Y0))|(?[Y0,Y1]: ((rp(X,Y0)&rp(X,Y1))&~Y0=Y1)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f49])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ((~cowlThing(sk0_1)|cowlNothing(sk0_2))|pd0_0(sk0_3))|(cc(sk0_4)&((![Y0]: ~rp(sk0_4,Y0))|((rp(sk0_4,sk0_5)&rp(sk0_4,sk0_6))&~sk0_5=sk0_6)))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f50])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ~cowlThing(sk0_1)|cowlNothing(sk0_2)|pd0_0(sk0_3)|cc(sk0_4)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 ![X0]: (~cowlThing(sk0_1)|cowlNothing(sk0_2)|pd0_0(sk0_3)|~rp(sk0_4,X0)|rp(sk0_4,sk0_5))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 ![X0]: (~cowlThing(sk0_1)|cowlNothing(sk0_2)|pd0_0(sk0_3)|~rp(sk0_4,X0)|rp(sk0_4,sk0_6))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 ![X0]: (~cowlThing(sk0_1)|cowlNothing(sk0_2)|pd0_0(sk0_3)|~rp(sk0_4,X0)|~sk0_5=sk0_6)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 ![X]: (~pd0_0(X)|(xsd_string(X)<~>~xsd_integer(X)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 ![X]: (~pd0_0(X)|((xsd_string(X)|~xsd_integer(X))&(~xsd_string(X)|xsd_integer(X))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f56])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|xsd_string(X0)|~xsd_integer(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f57])).
% 0.13/0.36 fof(f59,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|~xsd_string(X0)|xsd_integer(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f57])).
% 0.13/0.36 fof(f60,plain,(
% 0.13/0.36 spl0_0 <=> cowlThing(sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f62,plain,(
% 0.13/0.36 ~cowlThing(sk0_1)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f60])).
% 0.13/0.36 fof(f63,plain,(
% 0.13/0.36 spl0_1 <=> cowlNothing(sk0_2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 cowlNothing(sk0_2)|~spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 spl0_2 <=> pd0_0(sk0_3)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f67,plain,(
% 0.13/0.36 pd0_0(sk0_3)|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f66])).
% 0.13/0.36 fof(f69,plain,(
% 0.13/0.36 spl0_3 <=> cc(sk0_4)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f70,plain,(
% 0.13/0.36 cc(sk0_4)|~spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 ~spl0_0|spl0_1|spl0_2|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f52,f60,f63,f66,f69])).
% 0.13/0.36 fof(f73,plain,(
% 0.13/0.36 spl0_4 <=> ~rp(sk0_4,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f74,plain,(
% 0.13/0.36 ![X0]: (~rp(sk0_4,X0)|~spl0_4)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.36 fof(f76,plain,(
% 0.13/0.36 spl0_5 <=> rp(sk0_4,sk0_5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f77,plain,(
% 0.13/0.36 rp(sk0_4,sk0_5)|~spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f76])).
% 0.13/0.36 fof(f79,plain,(
% 0.13/0.36 ~spl0_0|spl0_1|spl0_2|spl0_4|spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f53,f60,f63,f66,f73,f76])).
% 0.13/0.36 fof(f80,plain,(
% 0.13/0.36 spl0_6 <=> rp(sk0_4,sk0_6)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 rp(sk0_4,sk0_6)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f80])).
% 0.13/0.36 fof(f83,plain,(
% 0.13/0.36 ~spl0_0|spl0_1|spl0_2|spl0_4|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f54,f60,f63,f66,f73,f80])).
% 0.13/0.36 fof(f84,plain,(
% 0.13/0.36 spl0_7 <=> sk0_5=sk0_6),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f86,plain,(
% 0.13/0.36 ~sk0_5=sk0_6|spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 ~spl0_0|spl0_1|spl0_2|spl0_4|~spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f55,f60,f63,f66,f73,f84])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|~xsd_integer(X0))),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f58,f40])).
% 0.13/0.36 fof(f89,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|~xsd_string(X0))),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f59,f40])).
% 0.13/0.36 fof(f90,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f62,f36])).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f90])).
% 0.13/0.36 fof(f92,plain,(
% 0.13/0.36 ~xsd_string(sk0_3)|~spl0_2),
% 0.13/0.36 inference(resolution,[status(thm)],[f67,f89])).
% 0.13/0.36 fof(f93,plain,(
% 0.13/0.36 ~xsd_integer(sk0_3)|~spl0_2),
% 0.13/0.36 inference(resolution,[status(thm)],[f67,f88])).
% 0.13/0.36 fof(f94,plain,(
% 0.13/0.36 xsd_integer(sk0_3)|~spl0_2),
% 0.13/0.36 inference(resolution,[status(thm)],[f92,f41])).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 $false|~spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f94,f93])).
% 0.13/0.36 fof(f96,plain,(
% 0.13/0.36 ~spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f95])).
% 0.13/0.36 fof(f97,plain,(
% 0.13/0.36 $false|~spl0_1),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f64,f37])).
% 0.13/0.36 fof(f98,plain,(
% 0.13/0.36 ~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f97])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 ~cc(sk0_4)|~spl0_4),
% 0.13/0.36 inference(resolution,[status(thm)],[f74,f44])).
% 0.13/0.36 fof(f100,plain,(
% 0.13/0.36 $false|~spl0_3|~spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f99,f70])).
% 0.13/0.36 fof(f101,plain,(
% 0.13/0.36 ~spl0_3|~spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f100])).
% 0.13/0.36 fof(f102,plain,(
% 0.13/0.36 ![X0,X1]: (~rp(sk0_4,X0)|~rp(sk0_4,X1)|X0=X1|~spl0_3)),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f46])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ![X0]: (~rp(sk0_4,X0)|X0=sk0_6|~spl0_3|~spl0_6)),
% 0.13/0.37 inference(resolution,[status(thm)],[f102,f81])).
% 0.13/0.37 fof(f110,plain,(
% 0.13/0.37 sk0_5=sk0_6|~spl0_3|~spl0_6|~spl0_5),
% 0.13/0.37 inference(resolution,[status(thm)],[f103,f77])).
% 0.13/0.37 fof(f111,plain,(
% 0.13/0.37 $false|spl0_7|~spl0_3|~spl0_6|~spl0_5),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f110,f86])).
% 0.13/0.37 fof(f112,plain,(
% 0.13/0.37 spl0_7|~spl0_3|~spl0_6|~spl0_5),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f111])).
% 0.13/0.37 fof(f113,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f72,f79,f83,f87,f91,f96,f98,f101,f112])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.020582 seconds
% 0.13/0.38 % CPU time: 0.029764 seconds
% 0.13/0.38 % Total memory used: 11.047 MB
% 0.13/0.38 % Net memory used: 10.959 MB
%------------------------------------------------------------------------------