TSTP Solution File: KRS169+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.12s 0.28s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 11 unt; 0 def)
% Number of atoms : 168 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 190 ( 79 ~; 80 |; 19 &)
% ( 11 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 25 !; 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(f4,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f12,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f17,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X,Y] :
( ( ~ rhasLeader(X,Y)
| rhasHead(X,Y) )
& ( rhasLeader(X,Y)
| ~ rhasHead(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f20,plain,
( ! [X,Y] :
( ~ rhasLeader(X,Y)
| rhasHead(X,Y) )
& ! [X,Y] :
( rhasLeader(X,Y)
| ~ rhasHead(X,Y) ) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f23,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(NNF_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f26,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| ( ( xsd_string(sk0_2)
| ~ xsd_integer(sk0_2) )
& ( ~ xsd_string(sk0_2)
| xsd_integer(sk0_2) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(skolemization,[status(esa)],[f25]) ).
fof(f27,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| xsd_string(sk0_2)
| ~ xsd_integer(sk0_2)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| ~ xsd_string(sk0_2)
| xsd_integer(sk0_2)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f29,plain,
( spl0_0
<=> cowlThing(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f31,plain,
( ~ cowlThing(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,plain,
( spl0_1
<=> cowlNothing(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f33,plain,
( cowlNothing(sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( spl0_2
<=> xsd_string(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f36,plain,
( xsd_string(sk0_2)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f37,plain,
( ~ xsd_string(sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( spl0_3
<=> xsd_integer(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f39,plain,
( xsd_integer(sk0_2)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,plain,
( spl0_4
<=> cowlThing(iX) ),
introduced(split_symbol_definition) ).
fof(f43,plain,
( ~ cowlThing(iX)
| spl0_4 ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( spl0_5
<=> rhasHead(iX,iY) ),
introduced(split_symbol_definition) ).
fof(f46,plain,
( ~ rhasHead(iX,iY)
| spl0_5 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( spl0_6
<=> cowlThing(iY) ),
introduced(split_symbol_definition) ).
fof(f49,plain,
( ~ cowlThing(iY)
| spl0_6 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f27,f29,f32,f35,f38,f41,f44,f47]) ).
fof(f51,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f28,f29,f32,f35,f38,f41,f44,f47]) ).
fof(f52,plain,
( $false
| spl0_6 ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f10]) ).
fof(f53,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f52]) ).
fof(f54,plain,
rhasHead(iX,iY),
inference(resolution,[status(thm)],[f21,f17]) ).
fof(f55,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f46]) ).
fof(f56,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f55]) ).
fof(f57,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f10]) ).
fof(f58,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f57]) ).
fof(f59,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f10]) ).
fof(f60,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f59]) ).
fof(f61,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f11]) ).
fof(f62,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f61]) ).
fof(f63,plain,
( ~ xsd_string(sk0_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f39,f14]) ).
fof(f64,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f36]) ).
fof(f65,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f64]) ).
fof(f66,plain,
( xsd_integer(sk0_2)
| spl0_2 ),
inference(resolution,[status(thm)],[f37,f15]) ).
fof(f67,plain,
( spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f66,f38,f35]) ).
fof(f68,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f51,f53,f56,f58,f60,f62,f65,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 23:31:35 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 0.12/0.28 % Refutation found
% 0.12/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.30 % Elapsed time: 0.015949 seconds
% 0.12/0.30 % CPU time: 0.029548 seconds
% 0.12/0.30 % Total memory used: 1.966 MB
% 0.12/0.30 % Net memory used: 1.901 MB
%------------------------------------------------------------------------------