TSTP Solution File: KRS164+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS164+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 13 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 218 ( 91 ~; 93 |; 21 &)
% ( 12 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 28 ( 21 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( cCar(X)
<=> cAutomobile(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cCar(iauto)
& cowlThing(iauto)
& cAutomobile(icar)
& cowlThing(icar) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cCar(iauto)
& cowlThing(iauto)
& cAutomobile(icar)
& cowlThing(icar) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f13,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f17,plain,
! [X] :
( ( ~ cCar(X)
| cAutomobile(X) )
& ( cCar(X)
| ~ cAutomobile(X) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
( ! [X] :
( ~ cCar(X)
| cAutomobile(X) )
& ! [X] :
( cCar(X)
| ~ cAutomobile(X) ) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f21,plain,
cAutomobile(iauto),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
cCar(icar),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(NNF_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f28,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| ( ( xsd_string(sk0_2)
| ~ xsd_integer(sk0_2) )
& ( ~ xsd_string(sk0_2)
| xsd_integer(sk0_2) ) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(skolemization,[status(esa)],[f27]) ).
fof(f29,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| xsd_string(sk0_2)
| ~ xsd_integer(sk0_2)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| ~ xsd_string(sk0_2)
| xsd_integer(sk0_2)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f31,plain,
( spl0_0
<=> cowlThing(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f33,plain,
( ~ cowlThing(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( spl0_1
<=> cowlNothing(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f35,plain,
( cowlNothing(sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( spl0_2
<=> xsd_string(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f38,plain,
( xsd_string(sk0_2)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f39,plain,
( ~ xsd_string(sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f40,plain,
( spl0_3
<=> xsd_integer(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f41,plain,
( xsd_integer(sk0_2)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( spl0_4
<=> cCar(iauto) ),
introduced(split_symbol_definition) ).
fof(f45,plain,
( ~ cCar(iauto)
| spl0_4 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( spl0_5
<=> cowlThing(iauto) ),
introduced(split_symbol_definition) ).
fof(f48,plain,
( ~ cowlThing(iauto)
| spl0_5 ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( spl0_6
<=> cAutomobile(icar) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ cAutomobile(icar)
| spl0_6 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( spl0_7
<=> cowlThing(icar) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( ~ cowlThing(icar)
| spl0_7 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f29,f31,f34,f37,f40,f43,f46,f49,f52]) ).
fof(f56,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f30,f31,f34,f37,f40,f43,f46,f49,f52]) ).
fof(f57,plain,
( $false
| spl0_7 ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f11]) ).
fof(f58,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f57]) ).
fof(f59,plain,
( ~ cCar(icar)
| spl0_6 ),
inference(resolution,[status(thm)],[f19,f51]) ).
fof(f60,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f23]) ).
fof(f61,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f60]) ).
fof(f62,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f11]) ).
fof(f63,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f62]) ).
fof(f64,plain,
( ~ cAutomobile(iauto)
| spl0_4 ),
inference(resolution,[status(thm)],[f20,f45]) ).
fof(f65,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f21]) ).
fof(f66,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f11]) ).
fof(f68,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f67]) ).
fof(f69,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f12]) ).
fof(f70,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f71,plain,
( ~ xsd_string(sk0_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f41,f15]) ).
fof(f72,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f38]) ).
fof(f73,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f74,plain,
( xsd_integer(sk0_2)
| spl0_2 ),
inference(resolution,[status(thm)],[f39,f16]) ).
fof(f75,plain,
( spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f74,f40,f37]) ).
fof(f76,plain,
$false,
inference(sat_refutation,[status(thm)],[f55,f56,f58,f61,f63,f66,f68,f70,f73,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : KRS164+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 23:59:43 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.31 % Refutation found
% 0.15/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.33 % Elapsed time: 0.012481 seconds
% 0.15/0.33 % CPU time: 0.023643 seconds
% 0.15/0.33 % Total memory used: 1.978 MB
% 0.15/0.33 % Net memory used: 1.920 MB
%------------------------------------------------------------------------------