TSTP Solution File: KRS166+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS166+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:24:57 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 7 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 172 ( 68 ~; 72 |; 14 &)
% ( 10 <=>; 3 =>; 0 <=; 5 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 31 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( cAutomobile(X)
=> cCar(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( cCar(X)
=> cAutomobile(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cCar(X)
<=> cAutomobile(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cCar(X)
<=> cAutomobile(X) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f10,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f14,plain,
! [X] :
( ~ cAutomobile(X)
| cCar(X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
! [X] :
( ~ cCar(X)
| cAutomobile(X) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cCar(X)
<~> cAutomobile(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X] :
( pd0_0(X)
=> ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
introduced(predicate_definition,[f18]) ).
fof(f20,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] : pd0_0(X)
| ? [X] :
( cCar(X)
<~> cAutomobile(X) ) ),
inference(formula_renaming,[status(thm)],[f18,f19]) ).
fof(f21,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] : pd0_0(X)
| ? [X] :
( ( cCar(X)
| cAutomobile(X) )
& ( ~ cCar(X)
| ~ cAutomobile(X) ) ) ),
inference(NNF_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] : pd0_0(X)
| ? [X] :
( ( cCar(X)
| cAutomobile(X) )
& ( ~ cCar(X)
| ~ cAutomobile(X) ) ) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f23,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ( ( cCar(sk0_3)
| cAutomobile(sk0_3) )
& ( ~ cCar(sk0_3)
| ~ cAutomobile(sk0_3) ) ) ),
inference(skolemization,[status(esa)],[f22]) ).
fof(f24,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| cCar(sk0_3)
| cAutomobile(sk0_3) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ~ cCar(sk0_3)
| ~ cAutomobile(sk0_3) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [X] :
( ~ pd0_0(X)
| ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f27,plain,
! [X] :
( ~ pd0_0(X)
| ( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0] :
( ~ pd0_0(X0)
| xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f30,plain,
( spl0_0
<=> cowlThing(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f32,plain,
( ~ cowlThing(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,plain,
( spl0_1
<=> cowlNothing(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f34,plain,
( cowlNothing(sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,plain,
( spl0_2
<=> pd0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f37,plain,
( pd0_0(sk0_2)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,plain,
( spl0_3
<=> cCar(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f40,plain,
( cCar(sk0_3)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( spl0_4
<=> cAutomobile(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f43,plain,
( cAutomobile(sk0_3)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f44,plain,
( ~ cAutomobile(sk0_3)
| spl0_4 ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f24,f30,f33,f36,f39,f42]) ).
fof(f46,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f25,f30,f33,f36,f39,f42]) ).
fof(f47,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_integer(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f12]) ).
fof(f48,plain,
! [X0] :
( ~ pd0_0(X0)
| xsd_integer(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f13]) ).
fof(f49,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f8]) ).
fof(f50,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0] : ~ pd0_0(X0),
inference(backward_subsumption_resolution,[status(thm)],[f47,f48]) ).
fof(f52,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f51]) ).
fof(f53,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f52]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f9]) ).
fof(f55,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( cAutomobile(sk0_3)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f40,f17]) ).
fof(f57,plain,
( $false
| spl0_4
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f44]) ).
fof(f58,plain,
( spl0_4
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f57]) ).
fof(f59,plain,
( cCar(sk0_3)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f43,f15]) ).
fof(f60,plain,
( spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f59,f39,f42]) ).
fof(f61,plain,
$false,
inference(sat_refutation,[status(thm)],[f45,f46,f50,f53,f55,f58,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS166+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 23:22:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.015638 seconds
% 0.13/0.36 % CPU time: 0.032927 seconds
% 0.13/0.36 % Total memory used: 1.947 MB
% 0.13/0.36 % Net memory used: 1.868 MB
%------------------------------------------------------------------------------