TSTP Solution File: SYN673-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN673-1 : 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 : Tue Apr 30 20:52:48 EDT 2024
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 57 ( 15 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 59 ~; 61 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X81] : p4(X81,X81),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X29] : p16(X29,X29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X60,X59] :
( p29(X60,X59)
| ~ p27(f12(c32,X59),X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X59,X60] :
( p27(f12(c32,X59),X60)
| ~ p29(X60,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X68] :
( p28(f21(c30,X68),c31)
| ~ p16(X68,c40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X1,X2,X0] :
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X68] :
( p28(f21(c30,X68),c31)
| ~ p29(f24(c42,X68),c39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X69,X70,X72,X71] :
( p29(X69,X70)
| ~ p29(X72,X71)
| ~ p4(X72,X69)
| ~ p10(X71,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X73] :
( p29(f24(c42,f26(c43,X73)),c39)
| p29(f5(c33,f8(c34,c30)),X73)
| ~ p10(X73,f14(f19(c35,c37),c39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [X73] :
( p29(f5(c33,f8(c34,c30)),X73)
| ~ p10(X73,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X73)),c31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [X61,X62] :
( p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62),c31)
| ~ p27(f12(c32,X61),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f60,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f67,plain,
! [X0] : p16(X0,X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f72,plain,
~ p29(f5(c33,f8(c34,c30)),c38),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f73,plain,
! [X0,X1] :
( p29(X0,X1)
| ~ p27(f12(c32,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f74,plain,
! [X0,X1] :
( p27(f12(c32,X0),X1)
| ~ p29(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f75,plain,
! [X0] :
( p28(f21(c30,X0),c31)
| ~ p16(X0,c40) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f77,plain,
! [X2,X0] :
( ! [X1] :
( p10(X1,X2)
| ~ p10(X0,X1) )
| ~ p10(X0,X2) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f78,plain,
! [X0,X1,X2] :
( p10(X0,X1)
| ~ p10(X2,X0)
| ~ p10(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f107,plain,
! [X0] :
( p28(f21(c30,X0),c31)
| ~ p29(f24(c42,X0),c39) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f108,plain,
! [X70,X71] :
( ! [X69,X72] :
( p29(X69,X70)
| ~ p29(X72,X71)
| ~ p4(X72,X69) )
| ~ p10(X71,X70) ),
inference(miniscoping,[status(esa)],[f38]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( p29(X0,X1)
| ~ p29(X2,X3)
| ~ p4(X2,X0)
| ~ p10(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f114,plain,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f135,plain,
! [X0] :
( p29(f24(c42,f26(c43,X0)),c39)
| p29(f5(c33,f8(c34,c30)),X0)
| ~ p10(X0,f14(f19(c35,c37),c39)) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f136,plain,
! [X0] :
( p29(f5(c33,f8(c34,c30)),X0)
| ~ p10(X0,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X0)),c31) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f138,plain,
! [X61] :
( ! [X62] :
( p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62),c31) )
| ~ p27(f12(c32,X61),f5(c33,f8(c34,c30))) ),
inference(miniscoping,[status(esa)],[f55]) ).
fof(f139,plain,
! [X0,X1] :
( p27(f12(c32,f14(f19(c35,X0),f17(c36,X1))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X1),c31)
| ~ p27(f12(c32,X0),f5(c33,f8(c34,c30))) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f144,plain,
! [X0,X1] :
( p10(X0,X1)
| ~ p10(X1,X0) ),
inference(resolution,[status(thm)],[f78,f56]) ).
fof(f168,plain,
p28(f21(c30,c40),c31),
inference(resolution,[status(thm)],[f75,f67]) ).
fof(f235,plain,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference(resolution,[status(thm)],[f114,f144]) ).
fof(f281,plain,
( spl0_2
<=> p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39) ),
introduced(split_symbol_definition) ).
fof(f282,plain,
( p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( spl0_3
<=> p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
introduced(split_symbol_definition) ).
fof(f285,plain,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39)
| p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
inference(resolution,[status(thm)],[f135,f56]) ).
fof(f288,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f287,f281,f284]) ).
fof(f384,plain,
( p28(f21(c30,f26(c43,f14(f19(c35,c37),c39))),c31)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f282,f107]) ).
fof(f388,plain,
( spl0_6
<=> p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39)) ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( ~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39))
| spl0_6 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f384,f136]) ).
fof(f392,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f391,f284,f388,f281]) ).
fof(f395,plain,
( p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30)))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f285,f74]) ).
fof(f400,plain,
! [X0] :
( p27(f12(c32,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,X0))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X0),c31)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f395,f139]) ).
fof(f426,plain,
( p27(f12(c32,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),f5(c33,f8(c34,c30)))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f400,f168]) ).
fof(f447,plain,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f426,f73]) ).
fof(f449,plain,
! [X0,X1] :
( p29(X0,X1)
| ~ p4(f5(c33,f8(c34,c30)),X0)
| ~ p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),X1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f447,f109]) ).
fof(f606,plain,
! [X0] :
( p29(X0,c38)
| ~ p4(f5(c33,f8(c34,c30)),X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f235,f449]) ).
fof(f749,plain,
( p29(f5(c33,f8(c34,c30)),c38)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f606,f60]) ).
fof(f750,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f72]) ).
fof(f751,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f56]) ).
fof(f753,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
$false,
inference(sat_refutation,[status(thm)],[f288,f392,f751,f753]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 22:16:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.19/0.42 % Refutation found
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.089095 seconds
% 0.19/0.43 % CPU time: 0.625759 seconds
% 0.19/0.43 % Total memory used: 19.118 MB
% 0.19/0.43 % Net memory used: 18.740 MB
%------------------------------------------------------------------------------