TSTP Solution File: SYN578-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:52:34 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 21 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 156 ( 73 ~; 78 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X21] : p7(X21,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X7] : p2(X7,X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X17] : p3(f4(f5(X17)),f4(X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X32] :
( p9(X32,f4(c16))
| ~ p9(X32,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X15,X16] :
( p3(f4(X15),f4(X16))
| ~ p2(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X13,X14,X12] :
( p3(X13,X14)
| ~ p3(X12,X13)
| ~ p3(X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X8,X9,X7] :
( p2(X8,X9)
| ~ p2(X7,X8)
| ~ p2(X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X28,X29,X31,X30] :
( p9(X28,X29)
| ~ p7(X31,X28)
| ~ p9(X31,X30)
| ~ p3(X30,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X33,X34] :
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f4(X34))
| ~ p11(X34,c15)
| ~ p9(c12,X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X34,X33] :
( ~ p11(X34,c15)
| ~ p9(c12,X33)
| ~ p9(f8(X33,X34),X33)
| ~ p9(f8(X33,X34),f4(X34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f27,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
p9(c12,c13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
p11(c14,c15),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
p2(c16,f5(c14)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0] : p3(f4(f5(X0)),f4(X0)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f34,plain,
! [X0] :
( p9(X0,f4(c16))
| ~ p9(X0,c13) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f42,plain,
! [X14,X12] :
( ! [X13] :
( p3(X13,X14)
| ~ p3(X12,X13) )
| ~ p3(X12,X14) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X9,X7] :
( ! [X8] :
( p2(X8,X9)
| ~ p2(X7,X8) )
| ~ p2(X7,X9) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f45,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f48,plain,
! [X29,X30] :
( ! [X31] :
( ! [X28] :
( p9(X28,X29)
| ~ p7(X31,X28) )
| ~ p9(X31,X30) )
| ~ p3(X30,X29) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( p9(X0,X1)
| ~ p7(X2,X0)
| ~ p9(X2,X3)
| ~ p3(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f52,plain,
! [X33] :
( ! [X34] :
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f4(X34))
| ~ p11(X34,c15) )
| ~ p9(c12,X33) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( p9(f8(X0,X1),X0)
| p9(f8(X0,X1),f4(X1))
| ~ p11(X1,c15)
| ~ p9(c12,X0) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p11(X0,c15)
| ~ p9(c12,X1)
| ~ p9(f8(X1,X0),X1)
| ~ p9(f8(X1,X0),f4(X0)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f55,plain,
p9(c12,f4(c16)),
inference(resolution,[status(thm)],[f34,f28]) ).
fof(f57,plain,
! [X0] :
( p9(f8(X0,c14),X0)
| p9(f8(X0,c14),f4(c14))
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[f53,f29]) ).
fof(f58,plain,
( spl0_0
<=> p9(f8(f4(c16),c14),f4(c16)) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( p9(f8(f4(c16),c14),f4(c16))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( spl0_1
<=> p9(f8(f4(c16),c14),f4(c14)) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( p9(f8(f4(c16),c14),f4(c14))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( p9(f8(f4(c16),c14),f4(c16))
| p9(f8(f4(c16),c14),f4(c14)) ),
inference(resolution,[status(thm)],[f57,f55]) ).
fof(f65,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f64,f58,f61]) ).
fof(f78,plain,
p3(f4(c16),f4(f5(c14))),
inference(resolution,[status(thm)],[f37,f30]) ).
fof(f98,plain,
! [X0,X1] :
( p3(f4(X0),X1)
| ~ p3(f4(f5(X0)),X1) ),
inference(resolution,[status(thm)],[f43,f31]) ).
fof(f133,plain,
! [X0] :
( p2(f5(c14),X0)
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[f45,f30]) ).
fof(f147,plain,
! [X0,X1] :
( p9(X0,X1)
| ~ p7(f8(f4(c16),c14),X0)
| ~ p3(f4(c16),X1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f59,f49]) ).
fof(f151,plain,
! [X0] :
( p9(f8(f4(c16),c14),X0)
| ~ p3(f4(c16),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f147,f25]) ).
fof(f161,plain,
( p9(f8(f4(c16),c14),f4(f5(c14)))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f151,f78]) ).
fof(f164,plain,
! [X0,X1] :
( p9(X0,X1)
| ~ p7(f8(f4(c16),c14),X0)
| ~ p3(f4(f5(c14)),X1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f161,f49]) ).
fof(f166,plain,
! [X0] :
( p9(f8(f4(c16),c14),X0)
| ~ p3(f4(f5(c14)),X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f164,f25]) ).
fof(f168,plain,
( p9(f8(f4(c16),c14),f4(c14))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f166,f31]) ).
fof(f171,plain,
( spl0_4
<=> p11(c14,c15) ),
introduced(split_symbol_definition) ).
fof(f173,plain,
( ~ p11(c14,c15)
| spl0_4 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( spl0_5
<=> p9(c12,f4(c16)) ),
introduced(split_symbol_definition) ).
fof(f176,plain,
( ~ p9(c12,f4(c16))
| spl0_5 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( ~ p11(c14,c15)
| ~ p9(c12,f4(c16))
| ~ p9(f8(f4(c16),c14),f4(c16))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f168,f54]) ).
fof(f178,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f177,f171,f174,f58]) ).
fof(f180,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f55]) ).
fof(f181,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f29]) ).
fof(f183,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f186,plain,
! [X0,X1] :
( p9(X0,X1)
| ~ p7(f8(f4(c16),c14),X0)
| ~ p3(f4(c14),X1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f62,f49]) ).
fof(f191,plain,
( spl0_6
<=> p9(c12,c13) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( ~ p9(c12,c13)
| spl0_6 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f197,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f28]) ).
fof(f198,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f206,plain,
! [X0] :
( p9(f8(f4(c16),c14),X0)
| ~ p3(f4(c14),X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f186,f25]) ).
fof(f216,plain,
p2(f5(c14),c16),
inference(resolution,[status(thm)],[f133,f27]) ).
fof(f221,plain,
p3(f4(f5(c14)),f4(c16)),
inference(resolution,[status(thm)],[f216,f37]) ).
fof(f236,plain,
p3(f4(c14),f4(c16)),
inference(resolution,[status(thm)],[f221,f98]) ).
fof(f245,plain,
( p9(f8(f4(c16),c14),f4(c16))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f236,f206]) ).
fof(f246,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f245,f58,f61]) ).
fof(f252,plain,
$false,
inference(sat_refutation,[status(thm)],[f65,f178,f181,f183,f198,f246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 22:13:21 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42 % Elapsed time: 0.061557 seconds
% 0.20/0.42 % CPU time: 0.389162 seconds
% 0.20/0.42 % Total memory used: 12.930 MB
% 0.20/0.42 % Net memory used: 12.662 MB
%------------------------------------------------------------------------------