TSTP Solution File: SYN625-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN625-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:52:41 EDT 2024
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 92 ( 36 ~; 54 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X7,X76] :
( ~ p15(X7)
| ~ p18(f9(X7),X76,X76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X7] :
( p15(X7)
| p18(f9(X7),f14(X7),f14(X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X77] :
( ~ p17(X77,f11(c20))
| ~ p16(f9(c21),X77,c19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X14,X15,X16,X17] :
( p16(X14,X15,X16)
| ~ p16(X14,X15,X17)
| ~ p16(X14,X17,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X18,X19,X20,X21,X22] :
( p16(f9(X18),X19,X20)
| p18(f9(X18),X19,X21)
| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X18,X19,X21,X20,X22] :
( p18(f9(X18),X19,X21)
| p17(f12(X18,X20,X22,X19,X21),f11(X22))
| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X18,X19,X21,X20,X22] :
( p18(f9(X18),X19,X21)
| p16(f9(X18),f12(X18,X20,X22,X19,X21),X21)
| ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
p15(c21),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f43,plain,
~ p15(f4(f7(c19,c20),c21)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f46,plain,
! [X7] :
( ~ p15(X7)
| ! [X76] : ~ p18(f9(X7),X76,X76) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p15(X0)
| ~ p18(f9(X0),X1,X1) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f52,plain,
! [X0] :
( p15(X0)
| p18(f9(X0),f14(X0),f14(X0)) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f53,plain,
! [X0] :
( ~ p17(X0,f11(c20))
| ~ p16(f9(c21),X0,c19) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f66,plain,
! [X14,X16,X17] :
( ! [X15] :
( p16(X14,X15,X16)
| ~ p16(X14,X15,X17) )
| ~ p16(X14,X17,X16) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( p16(X0,X1,X2)
| ~ p16(X0,X1,X3)
| ~ p16(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f82,plain,
! [X18,X19,X20,X21] :
( p16(f9(X18),X19,X20)
| p18(f9(X18),X19,X21)
| ! [X22] : ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4] :
( p16(f9(X0),X1,X2)
| p18(f9(X0),X1,X3)
| ~ p18(f9(f4(f7(X2,X4),X0)),X1,X3) ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( p18(f9(X0),X1,X2)
| p17(f12(X0,X3,X4,X1,X2),f11(X4))
| ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( p18(f9(X0),X1,X2)
| p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)
| ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f121,plain,
! [X0,X1,X2] :
( p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1)
| p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
| p15(f4(f7(X1,X2),X0)) ),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f122,plain,
! [X0,X1,X2] :
( p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
| p16(f9(X0),f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f14(f4(f7(X1,X2),X0)))
| p15(f4(f7(X1,X2),X0)) ),
inference(resolution,[status(thm)],[f85,f52]) ).
fof(f131,plain,
! [X0,X1,X2] :
( p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
| p17(f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f11(X2))
| p15(f4(f7(X1,X2),X0)) ),
inference(resolution,[status(thm)],[f84,f52]) ).
fof(f146,plain,
! [X0,X1,X2] :
( p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1)
| p15(f4(f7(X1,X2),X0))
| ~ p15(X0) ),
inference(resolution,[status(thm)],[f121,f47]) ).
fof(f148,plain,
! [X0,X1] :
( p16(f9(c21),f14(f4(f7(X0,X1),c21)),X0)
| p15(f4(f7(X0,X1),c21)) ),
inference(resolution,[status(thm)],[f146,f36]) ).
fof(f153,plain,
! [X0,X1,X2] :
( p15(f4(f7(X0,X1),c21))
| p16(f9(c21),X2,X0)
| ~ p16(f9(c21),X2,f14(f4(f7(X0,X1),c21))) ),
inference(resolution,[status(thm)],[f148,f67]) ).
fof(f159,plain,
! [X0,X1] :
( p18(f9(c21),f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21)))
| p15(f4(f7(X0,X1),c21))
| p15(f4(f7(X0,X1),c21))
| p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0) ),
inference(resolution,[status(thm)],[f122,f153]) ).
fof(f160,plain,
! [X0,X1] :
( p18(f9(c21),f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21)))
| p15(f4(f7(X0,X1),c21))
| p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f159]) ).
fof(f234,plain,
! [X0] :
( p18(f9(c21),f14(f4(f7(c19,X0),c21)),f14(f4(f7(c19,X0),c21)))
| p15(f4(f7(c19,X0),c21))
| ~ p17(f12(c21,c19,X0,f14(f4(f7(c19,X0),c21)),f14(f4(f7(c19,X0),c21))),f11(c20)) ),
inference(resolution,[status(thm)],[f160,f53]) ).
fof(f248,plain,
( spl0_0
<=> p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( spl0_1
<=> p15(f4(f7(c19,c20),c21)) ),
introduced(split_symbol_definition) ).
fof(f252,plain,
( p15(f4(f7(c19,c20),c21))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p15(f4(f7(c19,c20),c21))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p15(f4(f7(c19,c20),c21)) ),
inference(resolution,[status(thm)],[f234,f131]) ).
fof(f255,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f254,f248,f251]) ).
fof(f280,plain,
( ~ p15(c21)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f249,f47]) ).
fof(f281,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f36]) ).
fof(f282,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f252,f43]) ).
fof(f284,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f283]) ).
fof(f285,plain,
$false,
inference(sat_refutation,[status(thm)],[f255,f282,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN625-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.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 22:18:28 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.46 % Elapsed time: 0.110591 seconds
% 0.20/0.46 % CPU time: 0.797648 seconds
% 0.20/0.46 % Total memory used: 18.446 MB
% 0.20/0.46 % Net memory used: 18.087 MB
%------------------------------------------------------------------------------