TSTP Solution File: SWV002-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:45:44 EDT 2024
% Result : Unsatisfiable 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 61 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f17,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X] :
( less_than(X,i)
| ~ less_than(X,j)
| ~ less_than(a(X),a(k)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [Z,Y] :
( ! [X] :
( less_than(X,Z)
| ~ less_than(X,Y) )
| ~ less_than(Y,Z) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0,X1,X2] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| ~ less_than(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( less_than(X0,X1)
| less_than(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f33,plain,
! [X0] : ~ less_than(X0,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f43,plain,
less_than(a(j),a(k)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f44,plain,
! [X0] :
( less_than(X0,i)
| ~ less_than(X0,j)
| ~ less_than(a(X0),a(k)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f47,plain,
~ less_than(q,i),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f48,plain,
~ less_than(j,q),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f49,plain,
less_than(a(q),a(j)),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f69,plain,
( spl0_4
<=> less_than(q,j) ),
introduced(split_symbol_definition) ).
fof(f72,plain,
( spl0_5
<=> q = j ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( q = j
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( less_than(q,j)
| q = j ),
inference(resolution,[status(thm)],[f32,f48]) ).
fof(f76,plain,
( spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f75,f69,f72]) ).
fof(f113,plain,
! [X0] :
( less_than(X0,a(k))
| ~ less_than(X0,a(j)) ),
inference(resolution,[status(thm)],[f31,f43]) ).
fof(f175,plain,
less_than(a(q),a(k)),
inference(resolution,[status(thm)],[f113,f49]) ).
fof(f380,plain,
( spl0_35
<=> less_than(q,i) ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( less_than(q,i)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( less_than(q,i)
| ~ less_than(q,j) ),
inference(resolution,[status(thm)],[f175,f44]) ).
fof(f384,plain,
( spl0_35
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f383,f380,f69]) ).
fof(f387,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f47]) ).
fof(f388,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f460,plain,
( less_than(a(j),a(j))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f73,f49]) ).
fof(f461,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f33]) ).
fof(f462,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f463,plain,
$false,
inference(sat_refutation,[status(thm)],[f76,f384,f388,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n017.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Apr 30 00:06:03 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37 % Elapsed time: 0.027321 seconds
% 0.11/0.37 % CPU time: 0.055395 seconds
% 0.11/0.37 % Total memory used: 15.406 MB
% 0.11/0.37 % Net memory used: 15.312 MB
%------------------------------------------------------------------------------