TSTP Solution File: SYN224-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN224-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:51:37 EDT 2024
% Result : Unsatisfiable 0.17s 0.56s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f254,axiom,
! [D,E,F] :
( l3(D,D)
| ~ p1(D,D,E)
| ~ p2(E,F,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ l3(a,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f389,plain,
l0(a),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f408,plain,
! [I] :
( k1(I)
| ! [J] : ~ n0(J,I) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f549,plain,
( p1(a,a,a)
| ~ l0(a) ),
inference(cnf_transformation,[status(esa)],[f126]) ).
fof(f659,plain,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f743,plain,
! [D,E] :
( l3(D,D)
| ~ p1(D,D,E)
| ! [F] : ~ p2(E,F,D) ),
inference(miniscoping,[status(esa)],[f254]) ).
fof(f744,plain,
! [X0,X1,X2] :
( l3(X0,X0)
| ~ p1(X0,X0,X1)
| ~ p2(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f743]) ).
fof(f924,plain,
! [X0] : ~ l3(a,X0),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f1005,plain,
( spl0_23
<=> l0(a) ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( ~ l0(a)
| spl0_23 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1159,plain,
( spl0_67
<=> p1(a,a,a) ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( spl0_67
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f549,f1159,f1005]) ).
fof(f2011,plain,
k1(a),
inference(resolution,[status(thm)],[f409,f406]) ).
fof(f2022,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f389]) ).
fof(f2023,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2077,plain,
p2(a,a,a),
inference(resolution,[status(thm)],[f659,f2011]) ).
fof(f2133,plain,
( spl0_303
<=> l3(a,a) ),
introduced(split_symbol_definition) ).
fof(f2134,plain,
( l3(a,a)
| ~ spl0_303 ),
inference(component_clause,[status(thm)],[f2133]) ).
fof(f2138,plain,
( l3(a,a)
| ~ p1(a,a,a) ),
inference(resolution,[status(thm)],[f2077,f744]) ).
fof(f2139,plain,
( spl0_303
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f2138,f2133,f1159]) ).
fof(f2140,plain,
( $false
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[status(thm)],[f2134,f924]) ).
fof(f2141,plain,
~ spl0_303,
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2142,plain,
$false,
inference(sat_refutation,[status(thm)],[f1210,f2023,f2139,f2141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.31 % Problem : SYN224-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.31 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.52 % Computer : n019.cluster.edu
% 0.14/0.52 % Model : x86_64 x86_64
% 0.14/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.52 % Memory : 8042.1875MB
% 0.14/0.52 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.52 % CPULimit : 300
% 0.14/0.52 % WCLimit : 300
% 0.14/0.52 % DateTime : Mon Apr 29 21:53:45 EDT 2024
% 0.14/0.52 % CPUTime :
% 0.17/0.54 % Drodi V3.6.0
% 0.17/0.56 % Refutation found
% 0.17/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.57 % Elapsed time: 0.033155 seconds
% 0.17/0.57 % CPU time: 0.070077 seconds
% 0.17/0.57 % Total memory used: 13.805 MB
% 0.17/0.57 % Net memory used: 13.739 MB
%------------------------------------------------------------------------------