TSTP Solution File: SYN653-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN653-1 : TPTP v8.1.2. Released v2.5.0.
% 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 12:47:19 EDT 2023
% Result : Unsatisfiable 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 36 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 144 (; 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X78] : p3(X78,X78),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X31] : p12(X31,X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ p12(f13(c22),f13(c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X34,X35] :
( p12(f13(X34),f13(X35))
| ~ p7(X34,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X79,X80,X78] :
( p3(X79,X80)
| ~ p3(X78,X79)
| ~ p3(X78,X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X32,X33,X31] :
( p12(X32,X33)
| ~ p12(X31,X32)
| ~ p12(X31,X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X7,X12,X5,X6,X8,X9,X3,X10,X11,X13,X14,X4] :
( p7(X7,X12)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X36,X37,X38,X39,X40,X41,X42,X43] :
( p12(f13(X36),f13(f17(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X41,X37,X38,X39,X40,X36,X42,X43] :
( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f57,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f58,plain,
~ p12(f13(c22),f13(c23)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f62,plain,
! [X0,X1] :
( p12(f13(X0),f13(X1))
| ~ p7(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f77,plain,
! [X80,X78] :
( ! [X79] :
( p3(X79,X80)
| ~ p3(X78,X79) )
| ~ p3(X78,X80) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f78,plain,
! [X0,X1,X2] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f81,plain,
! [X33,X31] :
( ! [X32] :
( p12(X32,X33)
| ~ p12(X31,X32) )
| ~ p12(X31,X33) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f82,plain,
! [X0,X1,X2] :
( p12(X0,X1)
| ~ p12(X2,X0)
| ~ p12(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f86,plain,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f95,plain,
! [X7,X12] :
( p7(X7,X12)
| ! [X5,X6,X8,X9,X3,X10,X11,X13,X14,X4] : ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( p7(X0,X1)
| ~ p3(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f105,plain,
! [X36,X38,X39,X40,X41,X42,X43] :
( ! [X37] : p12(f13(X36),f13(f17(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p12(f13(X0),f13(f17(X1,X2,X3,X4,X5,X0,X6,X7)))
| ~ p21(f11(X2,X3,X0,X6,X7,X4),X5) ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f127,plain,
! [X41,X38,X39,X40,X36,X42,X43] :
( ! [X37] : p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7)))
| ~ p21(f11(X2,X3,X5,X6,X7,X4),X0) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f133,plain,
! [X0] :
( ~ p12(X0,f13(c22))
| ~ p12(X0,f13(c23)) ),
inference(resolution,[status(thm)],[f82,f58]) ).
fof(f134,plain,
! [X0] :
( ~ p12(f13(X0),f13(c22))
| ~ p7(X0,c23) ),
inference(resolution,[status(thm)],[f133,f62]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( p7(X0,X1)
| ~ p3(X2,f11(X3,X4,X0,X5,X6,X7))
| ~ p3(X2,f11(X8,X9,X1,X10,X11,X12)) ),
inference(resolution,[status(thm)],[f96,f78]) ).
fof(f221,plain,
! [X0] : p12(f13(c22),f13(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[status(thm)],[f106,f86]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( p7(X0,X1)
| ~ p3(f11(X2,X3,X1,X4,X5,X6),f11(X7,X8,X0,X9,X10,X11)) ),
inference(resolution,[status(thm)],[f213,f55]) ).
fof(f290,plain,
! [X0] : p3(f11(c29,c30,c23,c31,c32,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f18(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f16(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f15(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f14(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[status(thm)],[f128,f86]) ).
fof(f711,plain,
! [X0] : p7(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),c23),
inference(resolution,[status(thm)],[f290,f246]) ).
fof(f776,plain,
! [X0] : ~ p12(f13(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),f13(c22)),
inference(resolution,[status(thm)],[f711,f134]) ).
fof(f805,plain,
! [X0,X1] :
( ~ p12(X0,f13(f17(X1,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)))
| ~ p12(X0,f13(c22)) ),
inference(resolution,[status(thm)],[f776,f82]) ).
fof(f831,plain,
! [X0] : ~ p12(f13(c22),f13(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[status(thm)],[f805,f57]) ).
fof(f832,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f831,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN653-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n031.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:50:07 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37 % Elapsed time: 0.108811 seconds
% 0.10/0.37 % CPU time: 0.759634 seconds
% 0.10/0.37 % Memory used: 33.991 MB
%------------------------------------------------------------------------------