TSTP Solution File: MSC005-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MSC005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:21:30 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 35 ~; 33 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 (; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
value(truth,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
value(falsity,falsity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ value(X,truth)
| ~ value(Y,truth)
| value(xor(X,Y),falsity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( ~ value(X,truth)
| ~ value(Y,falsity)
| value(xor(X,Y),truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ value(X,falsity)
| ~ value(Y,falsity)
| value(xor(X,Y),falsity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [Value] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),Value),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
value(truth,truth),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
value(falsity,falsity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ value(X0,truth)
| ~ value(X1,truth)
| value(xor(X0,X1),falsity) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( ~ value(X0,truth)
| ~ value(X1,falsity)
| value(xor(X0,X1),truth) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( ~ value(X0,falsity)
| ~ value(X1,falsity)
| value(xor(X0,X1),falsity) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
! [X0] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
( spl0_2
<=> value(falsity,falsity) ),
introduced(split_symbol_definition) ).
fof(f25,plain,
( ~ value(falsity,falsity)
| spl0_2 ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f28,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f9]) ).
fof(f29,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f28]) ).
fof(f30,plain,
( spl0_3
<=> value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
introduced(split_symbol_definition) ).
fof(f32,plain,
( ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity)
| spl0_3 ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f35,plain,
( ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity)
| ~ value(falsity,falsity) ),
inference(resolution,[status(thm)],[f13,f14]) ).
fof(f36,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f35,f30,f23]) ).
fof(f40,plain,
( spl0_5
<=> value(truth,truth) ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( ~ value(truth,truth)
| spl0_5 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f45,plain,
( spl0_6
<=> value(xor(xor(truth,falsity),falsity),truth) ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( ~ value(xor(xor(truth,falsity),falsity),truth)
| spl0_6 ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f58,plain,
( spl0_9
<=> value(xor(truth,falsity),truth) ),
introduced(split_symbol_definition) ).
fof(f60,plain,
( ~ value(xor(truth,falsity),truth)
| spl0_9 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f63,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f8]) ).
fof(f64,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f63]) ).
fof(f75,plain,
( ~ value(xor(xor(truth,falsity),falsity),truth)
| ~ value(truth,truth)
| spl0_3 ),
inference(resolution,[status(thm)],[f32,f10]) ).
fof(f76,plain,
( ~ spl0_6
| ~ spl0_5
| spl0_3 ),
inference(split_clause,[status(thm)],[f75,f45,f40,f30]) ).
fof(f79,plain,
( ~ value(xor(truth,falsity),truth)
| ~ value(falsity,falsity)
| spl0_6 ),
inference(resolution,[status(thm)],[f47,f11]) ).
fof(f80,plain,
( ~ spl0_9
| ~ spl0_2
| spl0_6 ),
inference(split_clause,[status(thm)],[f79,f58,f23,f45]) ).
fof(f83,plain,
( ~ value(truth,truth)
| ~ value(falsity,falsity)
| spl0_9 ),
inference(resolution,[status(thm)],[f60,f11]) ).
fof(f84,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_9 ),
inference(split_clause,[status(thm)],[f83,f40,f23,f58]) ).
fof(f85,plain,
$false,
inference(sat_refutation,[status(thm)],[f29,f36,f64,f76,f80,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : MSC005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:57:37 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54 % Elapsed time: 0.010288 seconds
% 0.15/0.54 % CPU time: 0.012403 seconds
% 0.15/0.54 % Memory used: 1.814 MB
%------------------------------------------------------------------------------