TSTP Solution File: SYN571-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN571-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:52:33 EDT 2024
% Result : Unsatisfiable 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X11] : p2(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X10] : p11(f5(X10),c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X39] : ~ p11(X39,f3(X39,f5(f6(f7(c12))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X9] :
( p11(c14,X9)
| ~ p11(f5(f10(X9)),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X12,X13,X11] :
( p2(X12,X13)
| ~ p2(X11,X12)
| ~ p2(X11,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X24,X25] : p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X6,X7,X8] :
( p11(X6,f3(X7,X8))
| ~ p11(f9(X6,X8),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X0,X1,X2,X3] :
( p11(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p11(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
! [X0] : p11(f5(X0),c14),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0] : ~ p11(X0,f3(X0,f5(f6(f7(c12))))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0] :
( p11(c14,X0)
| ~ p11(f5(f10(X0)),X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f32,plain,
! [X13,X11] :
( ! [X12] :
( p2(X12,X13)
| ~ p2(X11,X12) )
| ~ p2(X11,X13) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f33,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f36,plain,
! [X0,X1] : p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( p11(X0,f3(X1,X2))
| ~ p11(f9(X0,X2),X1) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f39,plain,
! [X2,X3] :
( ! [X1] :
( ! [X0] :
( p11(X0,X1)
| ~ p2(X2,X0) )
| ~ p2(X3,X1) )
| ~ p11(X2,X3) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( p11(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p11(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f74,plain,
! [X0,X1,X2] :
( p2(f5(f8(X0,X1)),X2)
| ~ p2(f9(f5(X0),f5(X1)),X2) ),
inference(resolution,[status(thm)],[f36,f33]) ).
fof(f84,plain,
! [X0,X1] : p2(f5(f8(X0,X1)),f9(f5(X0),f5(X1))),
inference(resolution,[status(thm)],[f74,f22]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( p11(f9(f5(X0),f5(X1)),X2)
| ~ p2(X3,X2)
| ~ p11(f5(f8(X0,X1)),X3) ),
inference(resolution,[status(thm)],[f84,f40]) ).
fof(f156,plain,
! [X0,X1,X2] :
( p11(f9(f5(X0),f5(X1)),X2)
| ~ p11(f5(f8(X0,X1)),X2) ),
inference(resolution,[status(thm)],[f86,f22]) ).
fof(f161,plain,
! [X0,X1] : p11(f9(f5(X0),f5(X1)),c14),
inference(resolution,[status(thm)],[f156,f23]) ).
fof(f174,plain,
! [X0,X1] : p11(f5(X0),f3(c14,f5(X1))),
inference(resolution,[status(thm)],[f161,f37]) ).
fof(f181,plain,
! [X0] : p11(c14,f3(c14,f5(X0))),
inference(resolution,[status(thm)],[f174,f27]) ).
fof(f183,plain,
$false,
inference(resolution,[status(thm)],[f181,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN571-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:05:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.40 % Refutation found
% 0.19/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40 % Elapsed time: 0.050584 seconds
% 0.19/0.40 % CPU time: 0.315488 seconds
% 0.19/0.40 % Total memory used: 12.620 MB
% 0.19/0.40 % Net memory used: 12.420 MB
%------------------------------------------------------------------------------