TSTP Solution File: SYN637-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN637-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:47:17 EDT 2023
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X36] : p4(X36,X36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X39,X40] :
( p4(f16(X39),f16(X40))
| ~ p4(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X20,X21,X22,X23] :
( p22(X20,X21)
| ~ p4(X22,X20)
| ~ p4(X23,X21)
| ~ p22(X22,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X41,X42,X43,X44] :
( p4(f17(X41,X42),f17(X43,X44))
| ~ p4(X41,X43)
| ~ p4(X42,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [X51] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f53,plain,
! [X0,X1] :
( p4(f16(X0),f16(X1))
| ~ p4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f78,plain,
! [X22,X23] :
( ! [X21] :
( ! [X20] :
( p22(X20,X21)
| ~ p4(X22,X20) )
| ~ p4(X23,X21) )
| ~ p22(X22,X23) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( p22(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X3,X1)
| ~ p22(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f86,plain,
! [X42,X44] :
( ! [X41,X43] :
( p4(f17(X41,X42),f17(X43,X44))
| ~ p4(X41,X43) )
| ~ p4(X42,X44) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( p4(f17(X0,X1),f17(X2,X3))
| ~ p4(X0,X2)
| ~ p4(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f95,plain,
! [X0] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X0,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X0,c29)),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f96,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f97,plain,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f123,plain,
! [X0,X1,X2] :
( p22(X0,X1)
| ~ p4(X2,X0)
| ~ p22(X2,X1) ),
inference(resolution,[status(thm)],[f79,f45]) ).
fof(f147,plain,
! [X0,X1,X2] :
( p4(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27)),f17(X2,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)))
| ~ p4(X0,X2) ),
inference(resolution,[status(thm)],[f95,f87]) ).
fof(f161,plain,
! [X0] :
( p22(X0,f16(f17(c27,f5(c25,c26,c27))))
| ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X0) ),
inference(resolution,[status(thm)],[f96,f123]) ).
fof(f187,plain,
! [X0,X1] : p4(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27)),f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29))),
inference(resolution,[status(thm)],[f147,f45]) ).
fof(f215,plain,
! [X0,X1] : p4(f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27))),f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)))),
inference(resolution,[status(thm)],[f187,f53]) ).
fof(f352,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(resolution,[status(thm)],[f215,f161]) ).
fof(f353,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f352,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SYN637-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n002.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Tue May 30 10:39:58 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Drodi V3.5.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.44 % Elapsed time: 0.087473 seconds
% 0.17/0.44 % CPU time: 0.047994 seconds
% 0.17/0.44 % Memory used: 3.329 MB
%------------------------------------------------------------------------------