TSTP Solution File: SYN556-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN556-1 : 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 12:47:06 EDT 2023
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 130 ( 65 ~; 60 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 69 (; 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X15] : p3(X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p2(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X1,X2,X0] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X16,X17,X15] :
( p3(X16,X17)
| ~ p3(X15,X16)
| ~ p3(X15,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X3,X4,X5,X6] :
( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5)
| ~ p2(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X11,X12,X13,X14] :
( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14)
| ~ p3(X11,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X18,X19,X20,X21,X22,X23] :
( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23)
| ~ p2(X18,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f15,plain,
p2(c10,c13),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X2,X0] :
( ! [X1] :
( p2(X1,X2)
| ~ p2(X0,X1) )
| ~ p2(X0,X2) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
! [X17,X15] :
( ! [X16] :
( p3(X16,X17)
| ~ p3(X15,X16) )
| ~ p3(X15,X17) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f21,plain,
! [X0,X1,X2] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X4,X6] :
( ! [X3,X5] :
( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5) )
| ~ p2(X4,X6) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( p2(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [X11,X13] :
( ! [X12,X14] :
( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14) )
| ~ p3(X11,X13) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( p2(f8(X0,X1),f8(X2,X3))
| ~ p2(X1,X3)
| ~ p3(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [X18,X21] :
( ! [X20,X23] :
( ! [X19,X22] :
( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22) )
| ~ p3(X20,X23) )
| ~ p2(X18,X21) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] :
( p3(f4(X0,X1,X2),f4(X3,X4,X5))
| ~ p2(X1,X4)
| ~ p3(X2,X5)
| ~ p2(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0] :
( ~ p3(X0,c9)
| ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(resolution,[status(thm)],[f23,f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(X1,X0)
| ~ p3(X1,c9) ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f34,plain,
! [X0] :
( ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(c9,X0) ),
inference(resolution,[status(thm)],[f31,f14]) ).
fof(f35,plain,
~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(resolution,[status(thm)],[f34,f22]) ).
fof(f40,plain,
( spl0_0
<=> p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| spl0_0 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( spl0_1
<=> p3(c11,c11) ),
introduced(split_symbol_definition) ).
fof(f45,plain,
( ~ p3(c11,c11)
| spl0_1 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( spl0_2
<=> p2(c13,c10) ),
introduced(split_symbol_definition) ).
fof(f48,plain,
( ~ p2(c13,c10)
| spl0_2 ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(c11,c11)
| ~ p2(c13,c10) ),
inference(resolution,[status(thm)],[f35,f29]) ).
fof(f50,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f49,f40,f43,f46]) ).
fof(f54,plain,
! [X0] :
( ~ p2(X0,c13)
| ~ p2(X0,c10)
| spl0_2 ),
inference(resolution,[status(thm)],[f48,f19]) ).
fof(f56,plain,
( ~ p2(c10,c13)
| spl0_2 ),
inference(resolution,[status(thm)],[f54,f13]) ).
fof(f57,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f15]) ).
fof(f58,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f57]) ).
fof(f59,plain,
( spl0_3
<=> p2(f8(c11,c13),f8(c11,c10)) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( ~ p2(f8(c11,c13),f8(c11,c10))
| spl0_3 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( spl0_4
<=> p2(f6(f7(c12)),f6(f7(c12))) ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( ~ p2(f6(f7(c12)),f6(f7(c12)))
| spl0_4 ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| spl0_0 ),
inference(resolution,[status(thm)],[f42,f25]) ).
fof(f66,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_0 ),
inference(split_clause,[status(thm)],[f65,f59,f62,f40]) ).
fof(f68,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f14]) ).
fof(f69,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f68]) ).
fof(f70,plain,
( ~ p2(c13,c10)
| ~ p3(c11,c11)
| spl0_3 ),
inference(resolution,[status(thm)],[f61,f27]) ).
fof(f71,plain,
( ~ spl0_2
| ~ spl0_1
| spl0_3 ),
inference(split_clause,[status(thm)],[f70,f46,f43,f59]) ).
fof(f73,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f13]) ).
fof(f74,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f73]) ).
fof(f75,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f58,f66,f69,f71,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n002.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 10:44:12 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.50 % Elapsed time: 0.022465 seconds
% 0.11/0.50 % CPU time: 0.018389 seconds
% 0.11/0.50 % Memory used: 1.855 MB
%------------------------------------------------------------------------------