TSTP Solution File: SYN225-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN225-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Wed May 31 12:46:17 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 21 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 (; 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [I,J] :
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f214,axiom,
! [D,E] :
( p2(D,E,D)
| ~ m1(E,D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f253,axiom,
! [G,H] :
( l3(G,H)
| ~ r0(G)
| ~ p2(G,H,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ l3(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f378,plain,
r0(b),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f389,plain,
l0(a),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f442,plain,
! [J] :
( ! [I] :
( m1(I,J,I)
| ~ l0(I) )
| ~ k0(J) ),
inference(miniscoping,[status(esa)],[f59]) ).
fof(f443,plain,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
inference(cnf_transformation,[status(esa)],[f442]) ).
fof(f685,plain,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f214]) ).
fof(f742,plain,
! [X0,X1] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f924,plain,
~ l3(b,a),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f1100,plain,
( spl0_50
<=> r0(b) ),
introduced(split_symbol_definition) ).
fof(f1102,plain,
( ~ r0(b)
| spl0_50 ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1831,plain,
( spl0_257
<=> l3(b,a) ),
introduced(split_symbol_definition) ).
fof(f1832,plain,
( l3(b,a)
| ~ spl0_257 ),
inference(component_clause,[status(thm)],[f1831]) ).
fof(f2024,plain,
( $false
| spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f378]) ).
fof(f2025,plain,
spl0_50,
inference(contradiction_clause,[status(thm)],[f2024]) ).
fof(f2123,plain,
! [X0] :
( m1(X0,b,X0)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f443,f401]) ).
fof(f2561,plain,
m1(a,b,a),
inference(resolution,[status(thm)],[f2123,f389]) ).
fof(f2693,plain,
p2(b,a,b),
inference(resolution,[status(thm)],[f685,f2561]) ).
fof(f2722,plain,
( l3(b,a)
| ~ r0(b) ),
inference(resolution,[status(thm)],[f2693,f742]) ).
fof(f2723,plain,
( spl0_257
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2722,f1831,f1100]) ).
fof(f2724,plain,
( $false
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[status(thm)],[f1832,f924]) ).
fof(f2725,plain,
~ spl0_257,
inference(contradiction_clause,[status(thm)],[f2724]) ).
fof(f2726,plain,
$false,
inference(sat_refutation,[status(thm)],[f2025,f2723,f2725]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN225-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 10:38:58 EDT 2023
% 0.14/0.29 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.58 % Elapsed time: 0.064718 seconds
% 0.14/0.58 % CPU time: 0.104500 seconds
% 0.14/0.58 % Memory used: 7.482 MB
%------------------------------------------------------------------------------