TSTP Solution File: KRS152+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS152+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 20:24:54 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 77 ( 17 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 257 ( 105 ~; 107 |; 29 &)
% ( 15 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 11 prp; 0-1 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(f3,axiom,
! [X] :
( cC10(X)
<=> ( cC2(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cTEST(X)
<=> ( cC12(X)
& ~ cC8(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f22,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [X] :
( ( ~ cC10(X)
| ( cC2(X)
& cC4(X) ) )
& ( cC10(X)
| ~ cC2(X)
| ~ cC4(X) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
( ! [X] :
( ~ cC10(X)
| ( cC2(X)
& cC4(X) ) )
& ! [X] :
( cC10(X)
| ~ cC2(X)
| ~ cC4(X) ) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f30,plain,
! [X0] :
( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f48,plain,
! [X] :
( ( ~ cTEST(X)
| ( cC12(X)
& ~ cC8(X) ) )
& ( cTEST(X)
| ~ cC12(X)
| cC8(X) ) ),
inference(NNF_transformation,[status(esa)],[f7]) ).
fof(f49,plain,
( ! [X] :
( ~ cTEST(X)
| ( cC12(X)
& ~ cC8(X) ) )
& ! [X] :
( cTEST(X)
| ~ cC12(X)
| cC8(X) ) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f53,plain,
cTEST(iV21080),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f61,plain,
cC2(iV21081),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f62,plain,
cC4(iV21081),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f63,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f64,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(NNF_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(miniscoping,[status(esa)],[f64]) ).
fof(f66,plain,
( ~ cowlThing(sk0_2)
| cowlNothing(sk0_3)
| ( ( xsd_string(sk0_4)
| ~ xsd_integer(sk0_4) )
& ( ~ xsd_string(sk0_4)
| xsd_integer(sk0_4) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(skolemization,[status(esa)],[f65]) ).
fof(f67,plain,
( ~ cowlThing(sk0_2)
| cowlNothing(sk0_3)
| xsd_string(sk0_4)
| ~ xsd_integer(sk0_4)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
( ~ cowlThing(sk0_2)
| cowlNothing(sk0_3)
| ~ xsd_string(sk0_4)
| xsd_integer(sk0_4)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f69,plain,
( spl0_0
<=> cowlThing(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( ~ cowlThing(sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( spl0_1
<=> cowlNothing(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( cowlNothing(sk0_3)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( spl0_2
<=> xsd_string(sk0_4) ),
introduced(split_symbol_definition) ).
fof(f76,plain,
( xsd_string(sk0_4)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( ~ xsd_string(sk0_4)
| spl0_2 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( spl0_3
<=> xsd_integer(sk0_4) ),
introduced(split_symbol_definition) ).
fof(f79,plain,
( xsd_integer(sk0_4)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( spl0_4
<=> cowlThing(iV21080) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( ~ cowlThing(iV21080)
| spl0_4 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( spl0_5
<=> cC12(iV21080) ),
introduced(split_symbol_definition) ).
fof(f86,plain,
( ~ cC12(iV21080)
| spl0_5 ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( spl0_6
<=> cC10(iV21081) ),
introduced(split_symbol_definition) ).
fof(f89,plain,
( ~ cC10(iV21081)
| spl0_6 ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,plain,
( spl0_7
<=> cowlThing(iV21081) ),
introduced(split_symbol_definition) ).
fof(f92,plain,
( ~ cowlThing(iV21081)
| spl0_7 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f67,f69,f72,f75,f78,f81,f84,f87,f90]) ).
fof(f94,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f68,f69,f72,f75,f78,f81,f84,f87,f90]) ).
fof(f95,plain,
( $false
| spl0_7 ),
inference(backward_subsumption_resolution,[status(thm)],[f92,f20]) ).
fof(f96,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( spl0_8
<=> cC2(iV21081) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( ~ cC2(iV21081)
| spl0_8 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( spl0_9
<=> cC4(iV21081) ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( ~ cC4(iV21081)
| spl0_9 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( ~ cC2(iV21081)
| ~ cC4(iV21081)
| spl0_6 ),
inference(resolution,[status(thm)],[f30,f89]) ).
fof(f104,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_6 ),
inference(split_clause,[status(thm)],[f103,f97,f100,f87]) ).
fof(f105,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f62]) ).
fof(f106,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f61]) ).
fof(f108,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f107]) ).
fof(f109,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[f50,f53]) ).
fof(f110,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f86]) ).
fof(f111,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f20]) ).
fof(f113,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f20]) ).
fof(f115,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f21]) ).
fof(f117,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( ~ xsd_string(sk0_4)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f79,f24]) ).
fof(f119,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f76]) ).
fof(f120,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( xsd_integer(sk0_4)
| spl0_2 ),
inference(resolution,[status(thm)],[f77,f25]) ).
fof(f122,plain,
( spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f121,f78,f75]) ).
fof(f123,plain,
$false,
inference(sat_refutation,[status(thm)],[f93,f94,f96,f104,f106,f108,f111,f113,f115,f117,f120,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS152+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.13 % 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 23:18:26 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: 0.017738 seconds
% 0.13/0.36 % CPU time: 0.044677 seconds
% 0.13/0.36 % Total memory used: 2.434 MB
% 0.13/0.36 % Net memory used: 2.427 MB
%------------------------------------------------------------------------------