TSTP Solution File: KRS174+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS174+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 20:24:58 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 94 ( 10 unt; 0 def)
% Number of atoms : 277 ( 36 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 302 ( 119 ~; 136 |; 25 &)
% ( 16 <=>; 1 =>; 0 <=; 5 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 56 ( 43 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( cA(X)
<=> X = ia ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( cA_and_B(X)
<=> ( X = ib
| X = ia ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( cB(X)
<=> X = ib ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cA_and_B(X)
<=> ( cB(X)
| cA(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cA_and_B(X)
<=> ( cB(X)
| cA(X) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f38,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f39,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f41,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f9]) ).
fof(f42,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
! [X] :
( ( ~ cA(X)
| X = ia )
& ( cA(X)
| X != ia ) ),
inference(NNF_transformation,[status(esa)],[f10]) ).
fof(f46,plain,
( ! [X] :
( ~ cA(X)
| X = ia )
& ! [X] :
( cA(X)
| X != ia ) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
! [X0] :
( ~ cA(X0)
| X0 = ia ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [X0] :
( cA(X0)
| X0 != ia ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f49,plain,
! [X] :
( ( ~ cA_and_B(X)
| X = ib
| X = ia )
& ( cA_and_B(X)
| ( X != ib
& X != ia ) ) ),
inference(NNF_transformation,[status(esa)],[f11]) ).
fof(f50,plain,
( ! [X] :
( ~ cA_and_B(X)
| X = ib
| X = ia )
& ! [X] :
( cA_and_B(X)
| ( X != ib
& X != ia ) ) ),
inference(miniscoping,[status(esa)],[f49]) ).
fof(f51,plain,
! [X0] :
( ~ cA_and_B(X0)
| X0 = ib
| X0 = ia ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0] :
( cA_and_B(X0)
| X0 != ib ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f53,plain,
! [X0] :
( cA_and_B(X0)
| X0 != ia ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f54,plain,
! [X] :
( ( ~ cB(X)
| X = ib )
& ( cB(X)
| X != ib ) ),
inference(NNF_transformation,[status(esa)],[f12]) ).
fof(f55,plain,
( ! [X] :
( ~ cB(X)
| X = ib )
& ! [X] :
( cB(X)
| X != ib ) ),
inference(miniscoping,[status(esa)],[f54]) ).
fof(f56,plain,
! [X0] :
( ~ cB(X0)
| X0 = ib ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [X0] :
( cB(X0)
| X0 != ib ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f60,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cA_and_B(X)
<~> ( cB(X)
| cA(X) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f61,plain,
! [X] :
( pd0_0(X)
=> ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
introduced(predicate_definition,[f60]) ).
fof(f62,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] : pd0_0(X)
| ? [X] :
( cA_and_B(X)
<~> ( cB(X)
| cA(X) ) ) ),
inference(formula_renaming,[status(thm)],[f60,f61]) ).
fof(f63,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] : pd0_0(X)
| ? [X] :
( ( cA_and_B(X)
| cB(X)
| cA(X) )
& ( ~ cA_and_B(X)
| ( ~ cB(X)
& ~ cA(X) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] : pd0_0(X)
| ? [X] :
( ( cA_and_B(X)
| cB(X)
| cA(X) )
& ( ~ cA_and_B(X)
| ( ~ cB(X)
& ~ cA(X) ) ) ) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f65,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ( ( cA_and_B(sk0_3)
| cB(sk0_3)
| cA(sk0_3) )
& ( ~ cA_and_B(sk0_3)
| ( ~ cB(sk0_3)
& ~ cA(sk0_3) ) ) ) ),
inference(skolemization,[status(esa)],[f64]) ).
fof(f66,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| cA_and_B(sk0_3)
| cB(sk0_3)
| cA(sk0_3) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ~ cA_and_B(sk0_3)
| ~ cB(sk0_3) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f68,plain,
( ~ cowlThing(sk0_0)
| cowlNothing(sk0_1)
| pd0_0(sk0_2)
| ~ cA_and_B(sk0_3)
| ~ cA(sk0_3) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,plain,
! [X] :
( ~ pd0_0(X)
| ( xsd_string(X)
<~> ~ xsd_integer(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f61]) ).
fof(f70,plain,
! [X] :
( ~ pd0_0(X)
| ( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) ) ),
inference(NNF_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ pd0_0(X0)
| xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f73,plain,
( spl0_0
<=> cowlThing(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f75,plain,
( ~ cowlThing(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( spl0_1
<=> cowlNothing(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( cowlNothing(sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( spl0_2
<=> pd0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( pd0_0(sk0_2)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_3
<=> cA_and_B(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( cA_and_B(sk0_3)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( ~ cA_and_B(sk0_3)
| spl0_3 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( spl0_4
<=> cB(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f86,plain,
( cB(sk0_3)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( ~ cB(sk0_3)
| spl0_4 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( spl0_5
<=> cA(sk0_3) ),
introduced(split_symbol_definition) ).
fof(f89,plain,
( cA(sk0_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f90,plain,
( ~ cA(sk0_3)
| spl0_5 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f66,f73,f76,f79,f82,f85,f88]) ).
fof(f92,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f67,f73,f76,f79,f82,f85]) ).
fof(f93,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f68,f73,f76,f79,f82,f88]) ).
fof(f94,plain,
cA(ia),
inference(destructive_equality_resolution,[status(esa)],[f48]) ).
fof(f95,plain,
cA_and_B(ib),
inference(destructive_equality_resolution,[status(esa)],[f52]) ).
fof(f96,plain,
cA_and_B(ia),
inference(destructive_equality_resolution,[status(esa)],[f53]) ).
fof(f97,plain,
cB(ib),
inference(destructive_equality_resolution,[status(esa)],[f57]) ).
fof(f98,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_integer(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f71,f43]) ).
fof(f99,plain,
! [X0] :
( ~ pd0_0(X0)
| ~ xsd_string(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f72,f43]) ).
fof(f113,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f75,f39]) ).
fof(f114,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( ~ xsd_string(sk0_2)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f99]) ).
fof(f116,plain,
( ~ xsd_integer(sk0_2)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f98]) ).
fof(f117,plain,
( xsd_integer(sk0_2)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f115,f44]) ).
fof(f118,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f116]) ).
fof(f119,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f40]) ).
fof(f121,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sk0_3 = ib
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f86,f56]) ).
fof(f124,plain,
( ~ cA_and_B(ib)
| ~ spl0_4
| spl0_3 ),
inference(backward_demodulation,[status(thm)],[f122,f84]) ).
fof(f125,plain,
( $false
| ~ spl0_4
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f95]) ).
fof(f126,plain,
( ~ spl0_4
| spl0_3 ),
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( spl0_9
<=> sk0_3 = ib ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( sk0_3 = ib
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( spl0_10
<=> sk0_3 = ia ),
introduced(split_symbol_definition) ).
fof(f131,plain,
( sk0_3 = ia
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sk0_3 = ib
| sk0_3 = ia
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f83,f51]) ).
fof(f134,plain,
( spl0_9
| spl0_10
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f133,f127,f130,f82]) ).
fof(f135,plain,
( sk0_3 = ia
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f89,f47]) ).
fof(f137,plain,
( ~ cA_and_B(ia)
| ~ spl0_5
| spl0_3 ),
inference(backward_demodulation,[status(thm)],[f135,f84]) ).
fof(f138,plain,
( $false
| ~ spl0_5
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f96]) ).
fof(f139,plain,
( ~ spl0_5
| spl0_3 ),
inference(contradiction_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( ~ cB(ib)
| ~ spl0_9
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f128,f87]) ).
fof(f141,plain,
( $false
| ~ spl0_9
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f97]) ).
fof(f142,plain,
( ~ spl0_9
| spl0_4 ),
inference(contradiction_clause,[status(thm)],[f141]) ).
fof(f147,plain,
( ~ cA(ia)
| ~ spl0_10
| spl0_5 ),
inference(backward_demodulation,[status(thm)],[f131,f90]) ).
fof(f148,plain,
( $false
| ~ spl0_10
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f94]) ).
fof(f149,plain,
( ~ spl0_10
| spl0_5 ),
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
$false,
inference(sat_refutation,[status(thm)],[f91,f92,f93,f114,f119,f121,f126,f134,f139,f142,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS174+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % 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 23:44:49 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
% See solution above
% 0.13/0.38 % Elapsed time: 0.020212 seconds
% 0.13/0.38 % CPU time: 0.030098 seconds
% 0.13/0.38 % Total memory used: 11.061 MB
% 0.13/0.38 % Net memory used: 10.977 MB
%------------------------------------------------------------------------------