TSTP Solution File: SYN090-1.008 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN090-1.008 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:45:57 EDT 2023
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 49
% Syntax : Number of formulae : 106 ( 10 unt; 0 def)
% Number of atoms : 265 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 294 ( 135 ~; 135 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 49 ( 48 usr; 49 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( p_0
| ~ p_1
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( p_1
| ~ p_2
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( p_2
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( p_4
| ~ p_5
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( p_5
| ~ p_6
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( p_6
| ~ p_7
| ~ p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( p_7
| ~ p_8
| ~ p_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( p_8
| ~ p_9
| ~ p_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( p_9
| ~ p_10
| ~ p_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( p_10
| ~ p_11
| ~ p_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( p_11
| ~ p_12
| ~ p_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( p_12
| ~ p_13
| ~ p_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( p_13
| ~ p_14
| ~ p_15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( q_0
| ~ p_1
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( q_2
| ~ p_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
( q_4
| ~ p_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
( q_6
| ~ p_7
| ~ q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
( q_8
| ~ p_9
| ~ q_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( q_10
| ~ p_11
| ~ q_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
( q_12
| ~ p_13
| ~ q_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
p_14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
p_15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
q_14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,plain,
( ~ p_0
| ~ q_0 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f67,plain,
( p_0
| ~ p_1
| ~ p_2 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( p_1
| ~ p_2
| ~ p_3 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
( p_2
| ~ p_3
| ~ p_4 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f73,plain,
( p_3
| ~ p_4
| ~ p_5 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f75,plain,
( p_4
| ~ p_5
| ~ p_6 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f77,plain,
( p_5
| ~ p_6
| ~ p_7 ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f79,plain,
( p_6
| ~ p_7
| ~ p_8 ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f81,plain,
( p_7
| ~ p_8
| ~ p_9 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f83,plain,
( p_8
| ~ p_9
| ~ p_10 ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f85,plain,
( p_9
| ~ p_10
| ~ p_11 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f87,plain,
( p_10
| ~ p_11
| ~ p_12 ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f89,plain,
( p_11
| ~ p_12
| ~ p_13 ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f91,plain,
( p_12
| ~ p_13
| ~ p_14 ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f93,plain,
( p_13
| ~ p_14
| ~ p_15 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f95,plain,
( q_0
| ~ p_1
| ~ q_2 ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f99,plain,
( q_2
| ~ p_3
| ~ q_4 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f103,plain,
( q_4
| ~ p_5
| ~ q_6 ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f107,plain,
( q_6
| ~ p_7
| ~ q_8 ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f111,plain,
( q_8
| ~ p_9
| ~ q_10 ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f115,plain,
( q_10
| ~ p_11
| ~ q_12 ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f119,plain,
( q_12
| ~ p_13
| ~ q_14 ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f127,plain,
p_14,
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f128,plain,
p_15,
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f129,plain,
q_14,
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f131,plain,
( spl0_0
<=> p_0 ),
introduced(split_symbol_definition) ).
fof(f134,plain,
( spl0_1
<=> q_0 ),
introduced(split_symbol_definition) ).
fof(f137,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f66,f131,f134]) ).
fof(f138,plain,
( spl0_2
<=> p_1 ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( spl0_3
<=> p_2 ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( spl0_0
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f67,f131,f138,f141]) ).
fof(f148,plain,
( spl0_5
<=> q_2 ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( spl0_6
<=> p_3 ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f69,f138,f141,f152]) ).
fof(f160,plain,
( spl0_8
<=> p_4 ),
introduced(split_symbol_definition) ).
fof(f163,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f71,f141,f152,f160]) ).
fof(f164,plain,
( spl0_9
<=> q_4 ),
introduced(split_symbol_definition) ).
fof(f168,plain,
( spl0_10
<=> p_5 ),
introduced(split_symbol_definition) ).
fof(f171,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f73,f152,f160,f168]) ).
fof(f176,plain,
( spl0_12
<=> p_6 ),
introduced(split_symbol_definition) ).
fof(f179,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f75,f160,f168,f176]) ).
fof(f180,plain,
( spl0_13
<=> q_6 ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( spl0_14
<=> p_7 ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f77,f168,f176,f184]) ).
fof(f192,plain,
( spl0_16
<=> p_8 ),
introduced(split_symbol_definition) ).
fof(f195,plain,
( spl0_12
| ~ spl0_14
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f79,f176,f184,f192]) ).
fof(f196,plain,
( spl0_17
<=> q_8 ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( spl0_18
<=> p_9 ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( spl0_14
| ~ spl0_16
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f81,f184,f192,f200]) ).
fof(f208,plain,
( spl0_20
<=> p_10 ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( spl0_16
| ~ spl0_18
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f83,f192,f200,f208]) ).
fof(f212,plain,
( spl0_21
<=> q_10 ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( spl0_22
<=> p_11 ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f85,f200,f208,f216]) ).
fof(f224,plain,
( spl0_24
<=> p_12 ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( spl0_20
| ~ spl0_22
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f87,f208,f216,f224]) ).
fof(f228,plain,
( spl0_25
<=> q_12 ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( spl0_26
<=> p_13 ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( spl0_22
| ~ spl0_24
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f89,f216,f224,f232]) ).
fof(f240,plain,
( spl0_28
<=> p_14 ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( ~ p_14
| spl0_28 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( spl0_24
| ~ spl0_26
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f91,f224,f232,f240]) ).
fof(f244,plain,
( spl0_29
<=> q_14 ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( ~ q_14
| spl0_29 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f248,plain,
( spl0_30
<=> p_15 ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( ~ p_15
| spl0_30 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( spl0_26
| ~ spl0_28
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f93,f232,f240,f248]) ).
fof(f256,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f95,f134,f138,f148]) ).
fof(f260,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f99,f148,f152,f164]) ).
fof(f264,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f103,f164,f168,f180]) ).
fof(f268,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f107,f180,f184,f196]) ).
fof(f272,plain,
( spl0_17
| ~ spl0_18
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f111,f196,f200,f212]) ).
fof(f276,plain,
( spl0_21
| ~ spl0_22
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f115,f212,f216,f228]) ).
fof(f280,plain,
( spl0_25
| ~ spl0_26
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f119,f228,f232,f244]) ).
fof(f294,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f128]) ).
fof(f295,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f127]) ).
fof(f297,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f129]) ).
fof(f299,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f298]) ).
fof(f300,plain,
$false,
inference(sat_refutation,[status(thm)],[f137,f144,f155,f163,f171,f179,f187,f195,f203,f211,f219,f227,f235,f243,f251,f256,f260,f264,f268,f272,f276,f280,f295,f297,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN090-1.008 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n029.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 10:39:06 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
% 0.10/0.48 % Elapsed time: 0.007851 seconds
% 0.10/0.48 % CPU time: 0.017548 seconds
% 0.10/0.48 % Memory used: 7.530 MB
%------------------------------------------------------------------------------