TSTP Solution File: SYN600-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN600-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:47:12 EDT 2023
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 16 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 166 ( 84 ~; 80 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 73 (; 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X32] : p7(X32,X32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X16] : p3(X16,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X41,X42] :
( p7(f15(X41),f15(X42))
| ~ p7(X41,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X17,X18,X16] :
( p3(X17,X18)
| ~ p3(X16,X17)
| ~ p3(X16,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X0,X1,X2,X3] :
( p17(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p17(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X5,X6,X7,X8] :
( p18(X5,X6)
| ~ p7(X7,X5)
| ~ p7(X8,X6)
| ~ p18(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X4] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4)))
| ~ p19(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X4] :
( p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X27,X28] :
( p3(f4(f6(X27)),X28)
| ~ p19(X27)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
p19(c21),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
p19(c22),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f33,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f35,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f36,plain,
p7(f16(c21),f16(c22)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f37,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( p7(f15(X0),f15(X1))
| ~ p7(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f53,plain,
! [X18,X16] :
( ! [X17] :
( p3(X17,X18)
| ~ p3(X16,X17) )
| ~ p3(X16,X18) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f54,plain,
! [X0,X1,X2] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [X2,X3] :
( ! [X1] :
( ! [X0] :
( p17(X0,X1)
| ~ p7(X2,X0) )
| ~ p7(X3,X1) )
| ~ p17(X2,X3) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( p17(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p17(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [X7,X8] :
( ! [X6] :
( ! [X5] :
( p18(X5,X6)
| ~ p7(X7,X5) )
| ~ p7(X8,X6) )
| ~ p18(X7,X8) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( p18(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p18(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f65,plain,
! [X0] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f66,plain,
! [X0] :
( p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X0) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f67,plain,
! [X0,X1] :
( p3(f4(f6(X0)),X1)
| ~ p19(X0)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f75,plain,
! [X0] :
( ~ p3(X0,f4(f6(c21)))
| ~ p3(X0,f4(f6(c22))) ),
inference(resolution,[status(thm)],[f54,f37]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ p19(X0)
| p18(X1,X2)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X1)
| ~ p7(f15(f16(X0)),X2) ),
inference(resolution,[status(thm)],[f65,f58]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ p19(X0)
| p17(X1,X2)
| ~ p7(f15(f16(X0)),X1)
| ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X2) ),
inference(resolution,[status(thm)],[f66,f56]) ).
fof(f88,plain,
~ p3(f4(f6(c22)),f4(f6(c21))),
inference(resolution,[status(thm)],[f75,f35]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ p19(X0)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p7(f15(f16(X0)),f15(f16(X2)))
| p3(f4(f6(X2)),X1)
| ~ p19(X2)
| ~ p17(f15(f16(X2)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(resolution,[status(thm)],[f82,f67]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ p19(X0)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p7(f15(f16(X0)),f15(f16(X2)))
| p3(f4(f6(X2)),X1)
| ~ p19(X2)
| ~ p19(X3)
| ~ p7(f15(f16(X3)),f15(f16(X2)))
| ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X3))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(resolution,[status(thm)],[f100,f83]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ~ p19(X0)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p7(f15(f16(X0)),f15(f16(X2)))
| p3(f4(f6(X2)),f4(f6(X1)))
| ~ p19(X2)
| ~ p19(X1)
| ~ p7(f15(f16(X1)),f15(f16(X2))) ),
inference(resolution,[status(thm)],[f129,f33]) ).
fof(f330,plain,
! [X0,X1] :
( ~ p19(X0)
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p19(X1)
| ~ p19(X0)
| ~ p7(f15(f16(X0)),f15(f16(X1))) ),
inference(resolution,[status(thm)],[f189,f33]) ).
fof(f331,plain,
! [X0,X1] :
( ~ p19(X0)
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p19(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f330]) ).
fof(f332,plain,
! [X0,X1] :
( ~ p19(X0)
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p19(X1)
| ~ p7(f16(X0),f16(X1)) ),
inference(resolution,[status(thm)],[f331,f46]) ).
fof(f336,plain,
! [X0] :
( ~ p19(X0)
| p3(f4(f6(c22)),f4(f6(X0)))
| ~ p7(f16(X0),f16(c22)) ),
inference(resolution,[status(thm)],[f332,f31]) ).
fof(f347,plain,
( spl0_8
<=> p3(f4(f6(c22)),f4(f6(c21))) ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( p3(f4(f6(c22)),f4(f6(c21)))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( spl0_9
<=> p7(f16(c21),f16(c22)) ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( ~ p7(f16(c21),f16(c22))
| spl0_9 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( p3(f4(f6(c22)),f4(f6(c21)))
| ~ p7(f16(c21),f16(c22)) ),
inference(resolution,[status(thm)],[f336,f30]) ).
fof(f354,plain,
( spl0_8
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f353,f347,f350]) ).
fof(f356,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f36]) ).
fof(f357,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f356]) ).
fof(f360,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f348,f88]) ).
fof(f361,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f362,plain,
$false,
inference(sat_refutation,[status(thm)],[f354,f357,f361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN600-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:40:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.083469 seconds
% 0.19/0.43 % CPU time: 0.505882 seconds
% 0.19/0.43 % Memory used: 29.836 MB
%------------------------------------------------------------------------------