TSTP Solution File: SWV006-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:45:45 EDT 2024
% Result : Unsatisfiable 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 76 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 33 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X] : less_than(X,successor(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Z,Y] :
( less_than(X,Z)
| ~ less_than(X,Y)
| ~ less_than(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( less_than(X,Y)
| less_than(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : ~ less_than(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( ~ less_than(X,Y)
| ~ less_than(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
less_than(i,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
less_than(a(i),a(m)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X] :
( less_than(X,i)
| ~ less_than(X,successor(n))
| ~ less_than(a(X),a(m)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0] : less_than(X0,successor(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [Z,Y] :
( ! [X] :
( less_than(X,Z)
| ~ less_than(X,Y) )
| ~ less_than(Y,Z) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| ~ less_than(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( less_than(X0,X1)
| less_than(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f30,plain,
! [X0] : ~ less_than(X0,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| ~ less_than(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f38,plain,
less_than(i,n),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f40,plain,
less_than(a(i),a(m)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f41,plain,
! [X0] :
( less_than(X0,i)
| ~ less_than(X0,successor(n))
| ~ less_than(a(X0),a(m)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f51,plain,
( spl0_2
<=> less_than(i,i) ),
introduced(split_symbol_definition) ).
fof(f52,plain,
( less_than(i,i)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( spl0_3
<=> less_than(i,successor(n)) ),
introduced(split_symbol_definition) ).
fof(f56,plain,
( ~ less_than(i,successor(n))
| spl0_3 ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( less_than(i,i)
| ~ less_than(i,successor(n)) ),
inference(resolution,[status(thm)],[f41,f40]) ).
fof(f58,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f57,f51,f54]) ).
fof(f77,plain,
! [X0] : ~ less_than(successor(X0),X0),
inference(resolution,[status(thm)],[f31,f26]) ).
fof(f81,plain,
! [X0] :
( less_than(X0,n)
| ~ less_than(X0,i) ),
inference(resolution,[status(thm)],[f28,f38]) ).
fof(f162,plain,
( spl0_13
<=> less_than(successor(n),i) ),
introduced(split_symbol_definition) ).
fof(f163,plain,
( less_than(successor(n),i)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( spl0_14
<=> successor(n) = i ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( successor(n) = i
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( less_than(successor(n),i)
| successor(n) = i
| spl0_3 ),
inference(resolution,[status(thm)],[f56,f29]) ).
fof(f169,plain,
( spl0_13
| spl0_14
| spl0_3 ),
inference(split_clause,[status(thm)],[f168,f162,f165,f54]) ).
fof(f170,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f30]) ).
fof(f171,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( less_than(successor(n),n)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f163,f81]) ).
fof(f174,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f77]) ).
fof(f175,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f180,plain,
( ~ less_than(i,n)
| ~ spl0_14 ),
inference(paramodulation,[status(thm)],[f166,f77]) ).
fof(f181,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f38]) ).
fof(f182,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f181]) ).
fof(f183,plain,
$false,
inference(sat_refutation,[status(thm)],[f58,f169,f171,f175,f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:51:13 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 0.20/0.36 % Refutation found
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.020098 seconds
% 0.20/0.37 % CPU time: 0.031690 seconds
% 0.20/0.37 % Total memory used: 12.842 MB
% 0.20/0.37 % Net memory used: 12.742 MB
%------------------------------------------------------------------------------