TSTP Solution File: SYN724-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : Wed May 31 12:47:29 EDT 2023
% Result : Unsatisfiable 0.08s 0.27s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 1 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 66 ( 30 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 (; 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [A] :
( s(A)
| ~ r(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( r(sk1)
| r(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( r(sk1)
| ~ r(sk2)
| ~ s(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( r(sk2)
| ~ s(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ~ r(sk2)
| ~ s(sk1)
| ~ s(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] :
( s(X0)
| ~ r(X0) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
( r(sk1)
| r(sk2) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
( r(sk1)
| ~ r(sk2)
| ~ s(sk2) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
( r(sk2)
| ~ s(sk1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
( ~ r(sk2)
| ~ s(sk1)
| ~ s(sk2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> r(sk1) ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( r(sk1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> r(sk2) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( r(sk2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f7,f11,f14]) ).
fof(f18,plain,
( spl0_2
<=> s(sk2) ),
introduced(split_symbol_definition) ).
fof(f20,plain,
( ~ s(sk2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f8,f11,f14,f18]) ).
fof(f22,plain,
( spl0_3
<=> s(sk1) ),
introduced(split_symbol_definition) ).
fof(f24,plain,
( ~ s(sk1)
| spl0_3 ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f25,plain,
( spl0_1
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f9,f14,f22]) ).
fof(f26,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f10,f14,f22,f18]) ).
fof(f27,plain,
( s(sk1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f28,plain,
( $false
| spl0_3
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f27,f24]) ).
fof(f29,plain,
( spl0_3
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f28]) ).
fof(f30,plain,
( s(sk2)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f15,f6]) ).
fof(f31,plain,
( $false
| spl0_2
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f20]) ).
fof(f32,plain,
( spl0_2
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f31]) ).
fof(f33,plain,
$false,
inference(sat_refutation,[status(thm)],[f17,f21,f25,f26,f29,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n019.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue May 30 10:25:25 EDT 2023
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % Drodi V3.5.1
% 0.08/0.27 % Refutation found
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.28 % Elapsed time: 0.010852 seconds
% 0.08/0.28 % CPU time: 0.018104 seconds
% 0.08/0.28 % Memory used: 1.809 MB
%------------------------------------------------------------------------------