TSTP Solution File: SYN094-1.005 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN094-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:51:18 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 130
% Syntax : Number of formulae : 275 ( 4 unt; 0 def)
% Number of atoms : 705 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 711 ( 281 ~; 371 |; 0 &)
% ( 59 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 119 ( 118 usr; 119 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( p_0
| ~ u_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( p_0
| ~ u_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( p_1
| ~ u_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( p_1
| ~ u_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( p_2
| ~ u_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( p_2
| ~ u_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( p_3
| ~ u_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( u_9
| p_3
| ~ q_4
| ~ q_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( p_3
| ~ u_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( p_4
| ~ u_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( u_11
| p_4
| ~ q_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( p_4
| ~ u_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( p_5
| ~ u_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( p_5
| ~ u_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( p_6
| ~ u_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( u_15
| p_6
| ~ q_7
| ~ q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( p_6
| ~ u_15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
( p_7
| ~ u_16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( u_17
| p_7
| ~ q_8
| ~ q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( p_7
| ~ u_17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
( q_0
| ~ u_18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
( q_0
| ~ u_19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
( q_1
| ~ u_20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
( u_21
| q_1
| ~ q_2
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
( q_1
| ~ u_21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
( q_2
| ~ u_22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
( q_2
| ~ u_23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
( u_24
| q_3
| ~ p_4
| ~ q_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
( q_3
| ~ u_24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( q_3
| ~ u_25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
( q_4
| ~ u_26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
( u_27
| q_4
| ~ q_5
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
( q_4
| ~ u_27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
( q_5
| ~ u_28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
( u_29
| q_5
| ~ q_6
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
( q_5
| ~ u_29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
( u_30
| q_6
| ~ p_7
| ~ q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
( q_6
| ~ u_30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
( q_6
| ~ u_31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
( u_32
| q_7
| ~ p_8
| ~ q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
( q_7
| ~ u_32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
( q_7
| ~ u_33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
( u_34
| p_9
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
( p_9
| ~ u_34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
( u_36
| q_9
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
( q_9
| ~ u_36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
( u_38
| p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
( p_8
| ~ u_38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,axiom,
( u_39
| p_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
( p_9
| ~ u_39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
( u_40
| q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
( q_8
| ~ u_40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,axiom,
( u_41
| q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
( q_9
| ~ u_41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,plain,
( u_1
| ~ p_0
| ~ q_0 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f84,plain,
~ u_1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f86,plain,
( p_0
| ~ u_2 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f87,plain,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f88,plain,
( p_0
| ~ u_3 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f90,plain,
( p_1
| ~ u_4 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f91,plain,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f92,plain,
( p_1
| ~ u_5 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f94,plain,
( p_2
| ~ u_6 ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f95,plain,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f96,plain,
( p_2
| ~ u_7 ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f97,plain,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f98,plain,
( p_3
| ~ u_8 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f99,plain,
( u_9
| p_3
| ~ q_4
| ~ q_5 ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f100,plain,
( p_3
| ~ u_9 ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f102,plain,
( p_4
| ~ u_10 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f103,plain,
( u_11
| p_4
| ~ q_5
| ~ q_6 ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f104,plain,
( p_4
| ~ u_11 ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f106,plain,
( p_5
| ~ u_12 ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f107,plain,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f108,plain,
( p_5
| ~ u_13 ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f109,plain,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f110,plain,
( p_6
| ~ u_14 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f111,plain,
( u_15
| p_6
| ~ q_7
| ~ q_8 ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f112,plain,
( p_6
| ~ u_15 ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f113,plain,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f114,plain,
( p_7
| ~ u_16 ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f115,plain,
( u_17
| p_7
| ~ q_8
| ~ q_9 ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f116,plain,
( p_7
| ~ u_17 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f117,plain,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f118,plain,
( q_0
| ~ u_18 ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f119,plain,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f120,plain,
( q_0
| ~ u_19 ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f122,plain,
( q_1
| ~ u_20 ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f123,plain,
( u_21
| q_1
| ~ q_2
| ~ p_3 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f124,plain,
( q_1
| ~ u_21 ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f125,plain,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f126,plain,
( q_2
| ~ u_22 ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f127,plain,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f128,plain,
( q_2
| ~ u_23 ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f129,plain,
( u_24
| q_3
| ~ p_4
| ~ q_5 ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f130,plain,
( q_3
| ~ u_24 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f131,plain,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f132,plain,
( q_3
| ~ u_25 ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f133,plain,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f134,plain,
( q_4
| ~ u_26 ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f135,plain,
( u_27
| q_4
| ~ q_5
| ~ p_6 ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f136,plain,
( q_4
| ~ u_27 ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f138,plain,
( q_5
| ~ u_28 ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f139,plain,
( u_29
| q_5
| ~ q_6
| ~ p_7 ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f140,plain,
( q_5
| ~ u_29 ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f141,plain,
( u_30
| q_6
| ~ p_7
| ~ q_8 ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f142,plain,
( q_6
| ~ u_30 ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f143,plain,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f144,plain,
( q_6
| ~ u_31 ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f145,plain,
( u_32
| q_7
| ~ p_8
| ~ q_9 ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f146,plain,
( q_7
| ~ u_32 ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f147,plain,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f148,plain,
( q_7
| ~ u_33 ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f149,plain,
( u_34
| p_9
| ~ p_4 ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f150,plain,
( p_9
| ~ u_34 ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f153,plain,
( u_36
| q_9
| ~ q_4 ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f154,plain,
( q_9
| ~ u_36 ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f157,plain,
( u_38
| p_8 ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f158,plain,
( p_8
| ~ u_38 ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f159,plain,
( u_39
| p_9 ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f160,plain,
( p_9
| ~ u_39 ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f161,plain,
( u_40
| q_8 ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f162,plain,
( q_8
| ~ u_40 ),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f163,plain,
( u_41
| q_9 ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f164,plain,
( q_9
| ~ u_41 ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f165,plain,
( spl0_0
<=> u_1 ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( u_1
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( spl0_1
<=> p_0 ),
introduced(split_symbol_definition) ).
fof(f171,plain,
( spl0_2
<=> q_0 ),
introduced(split_symbol_definition) ).
fof(f174,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f83,f165,f168,f171]) ).
fof(f175,plain,
( spl0_3
<=> u_2 ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( spl0_4
<=> p_1 ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( spl0_5
<=> p_2 ),
introduced(split_symbol_definition) ).
fof(f185,plain,
( spl0_1
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f86,f168,f175]) ).
fof(f186,plain,
( spl0_6
<=> u_3 ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( spl0_7
<=> q_1 ),
introduced(split_symbol_definition) ).
fof(f192,plain,
( spl0_8
<=> q_2 ),
introduced(split_symbol_definition) ).
fof(f195,plain,
( spl0_6
| spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f87,f186,f168,f189,f192]) ).
fof(f196,plain,
( spl0_1
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f88,f168,f186]) ).
fof(f197,plain,
( spl0_9
<=> u_4 ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( spl0_10
<=> p_3 ),
introduced(split_symbol_definition) ).
fof(f204,plain,
( spl0_4
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f90,f178,f197]) ).
fof(f205,plain,
( spl0_11
<=> u_5 ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( spl0_12
<=> q_3 ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( spl0_11
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f91,f205,f178,f192,f208]) ).
fof(f212,plain,
( spl0_4
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f92,f178,f205]) ).
fof(f213,plain,
( spl0_13
<=> u_6 ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( spl0_14
<=> p_4 ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f94,f181,f213]) ).
fof(f221,plain,
( spl0_15
<=> u_7 ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( spl0_16
<=> q_4 ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( spl0_15
| spl0_5
| ~ spl0_12
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f95,f221,f181,f208,f224]) ).
fof(f228,plain,
( spl0_5
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f96,f181,f221]) ).
fof(f229,plain,
( spl0_17
<=> u_8 ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( spl0_18
<=> p_5 ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( spl0_17
| spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f97,f229,f200,f216,f232]) ).
fof(f236,plain,
( spl0_10
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f98,f200,f229]) ).
fof(f237,plain,
( spl0_19
<=> u_9 ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( spl0_20
<=> q_5 ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( spl0_19
| spl0_10
| ~ spl0_16
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f99,f237,f200,f224,f240]) ).
fof(f244,plain,
( spl0_10
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f100,f200,f237]) ).
fof(f245,plain,
( spl0_21
<=> u_10 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( spl0_22
<=> p_6 ),
introduced(split_symbol_definition) ).
fof(f252,plain,
( spl0_14
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f102,f216,f245]) ).
fof(f253,plain,
( spl0_23
<=> u_11 ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( spl0_24
<=> q_6 ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( spl0_23
| spl0_14
| ~ spl0_20
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f103,f253,f216,f240,f256]) ).
fof(f260,plain,
( spl0_14
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f104,f216,f253]) ).
fof(f261,plain,
( spl0_25
<=> u_12 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( spl0_26
<=> p_7 ),
introduced(split_symbol_definition) ).
fof(f268,plain,
( spl0_18
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f106,f232,f261]) ).
fof(f269,plain,
( spl0_27
<=> u_13 ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( spl0_28
<=> q_7 ),
introduced(split_symbol_definition) ).
fof(f275,plain,
( spl0_27
| spl0_18
| ~ spl0_24
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f107,f269,f232,f256,f272]) ).
fof(f276,plain,
( spl0_18
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f108,f232,f269]) ).
fof(f277,plain,
( spl0_29
<=> u_14 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( spl0_30
<=> p_8 ),
introduced(split_symbol_definition) ).
fof(f283,plain,
( spl0_29
| spl0_22
| ~ spl0_26
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f109,f277,f248,f264,f280]) ).
fof(f284,plain,
( spl0_22
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f110,f248,f277]) ).
fof(f285,plain,
( spl0_31
<=> u_15 ),
introduced(split_symbol_definition) ).
fof(f288,plain,
( spl0_32
<=> q_8 ),
introduced(split_symbol_definition) ).
fof(f291,plain,
( spl0_31
| spl0_22
| ~ spl0_28
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f111,f285,f248,f272,f288]) ).
fof(f292,plain,
( spl0_22
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f112,f248,f285]) ).
fof(f293,plain,
( spl0_33
<=> u_16 ),
introduced(split_symbol_definition) ).
fof(f296,plain,
( spl0_34
<=> p_9 ),
introduced(split_symbol_definition) ).
fof(f299,plain,
( spl0_33
| spl0_26
| ~ spl0_30
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f113,f293,f264,f280,f296]) ).
fof(f300,plain,
( spl0_26
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f114,f264,f293]) ).
fof(f301,plain,
( spl0_35
<=> u_17 ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( spl0_36
<=> q_9 ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( spl0_35
| spl0_26
| ~ spl0_32
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f115,f301,f264,f288,f304]) ).
fof(f308,plain,
( spl0_26
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f116,f264,f301]) ).
fof(f309,plain,
( spl0_37
<=> u_18 ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( spl0_37
| spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f117,f309,f171,f178,f192]) ).
fof(f313,plain,
( spl0_2
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f118,f171,f309]) ).
fof(f314,plain,
( spl0_38
<=> u_19 ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( spl0_38
| spl0_2
| ~ spl0_7
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f119,f314,f171,f189,f181]) ).
fof(f318,plain,
( spl0_2
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f120,f171,f314]) ).
fof(f319,plain,
( spl0_39
<=> u_20 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( spl0_7
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f122,f189,f319]) ).
fof(f324,plain,
( spl0_40
<=> u_21 ),
introduced(split_symbol_definition) ).
fof(f327,plain,
( spl0_40
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f123,f324,f189,f192,f200]) ).
fof(f328,plain,
( spl0_7
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f124,f189,f324]) ).
fof(f329,plain,
( spl0_41
<=> u_22 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( spl0_41
| spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f125,f329,f192,f200,f224]) ).
fof(f333,plain,
( spl0_8
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f126,f192,f329]) ).
fof(f334,plain,
( spl0_42
<=> u_23 ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( spl0_42
| spl0_8
| ~ spl0_12
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f127,f334,f192,f208,f216]) ).
fof(f338,plain,
( spl0_8
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f128,f192,f334]) ).
fof(f339,plain,
( spl0_43
<=> u_24 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( spl0_43
| spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f129,f339,f208,f216,f240]) ).
fof(f343,plain,
( spl0_12
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f130,f208,f339]) ).
fof(f344,plain,
( spl0_44
<=> u_25 ),
introduced(split_symbol_definition) ).
fof(f347,plain,
( spl0_44
| spl0_12
| ~ spl0_16
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f131,f344,f208,f224,f232]) ).
fof(f348,plain,
( spl0_12
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f132,f208,f344]) ).
fof(f349,plain,
( spl0_45
<=> u_26 ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( spl0_45
| spl0_16
| ~ spl0_18
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f133,f349,f224,f232,f256]) ).
fof(f353,plain,
( spl0_16
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f134,f224,f349]) ).
fof(f354,plain,
( spl0_46
<=> u_27 ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( spl0_46
| spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f135,f354,f224,f240,f248]) ).
fof(f358,plain,
( spl0_16
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f136,f224,f354]) ).
fof(f359,plain,
( spl0_47
<=> u_28 ),
introduced(split_symbol_definition) ).
fof(f363,plain,
( spl0_20
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f138,f240,f359]) ).
fof(f364,plain,
( spl0_48
<=> u_29 ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( spl0_48
| spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f139,f364,f240,f256,f264]) ).
fof(f368,plain,
( spl0_20
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f140,f240,f364]) ).
fof(f369,plain,
( spl0_49
<=> u_30 ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( spl0_49
| spl0_24
| ~ spl0_26
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f141,f369,f256,f264,f288]) ).
fof(f373,plain,
( spl0_24
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f142,f256,f369]) ).
fof(f374,plain,
( spl0_50
<=> u_31 ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( spl0_50
| spl0_24
| ~ spl0_28
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f143,f374,f256,f272,f280]) ).
fof(f378,plain,
( spl0_24
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f144,f256,f374]) ).
fof(f379,plain,
( spl0_51
<=> u_32 ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( spl0_51
| spl0_28
| ~ spl0_30
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f145,f379,f272,f280,f304]) ).
fof(f383,plain,
( spl0_28
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f146,f272,f379]) ).
fof(f384,plain,
( spl0_52
<=> u_33 ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( spl0_52
| spl0_28
| ~ spl0_32
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f147,f384,f272,f288,f296]) ).
fof(f388,plain,
( spl0_28
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f148,f272,f384]) ).
fof(f389,plain,
( spl0_53
<=> u_34 ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( spl0_53
| spl0_34
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f149,f389,f296,f216]) ).
fof(f393,plain,
( spl0_34
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f150,f296,f389]) ).
fof(f402,plain,
( spl0_56
<=> u_36 ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( spl0_56
| spl0_36
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f153,f402,f304,f224]) ).
fof(f406,plain,
( spl0_36
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f154,f304,f402]) ).
fof(f415,plain,
( spl0_59
<=> u_38 ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( spl0_59
| spl0_30 ),
inference(split_clause,[status(thm)],[f157,f415,f280]) ).
fof(f419,plain,
( spl0_30
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f158,f280,f415]) ).
fof(f420,plain,
( spl0_60
<=> u_39 ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( spl0_60
| spl0_34 ),
inference(split_clause,[status(thm)],[f159,f420,f296]) ).
fof(f424,plain,
( spl0_34
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f160,f296,f420]) ).
fof(f425,plain,
( spl0_61
<=> u_40 ),
introduced(split_symbol_definition) ).
fof(f428,plain,
( spl0_61
| spl0_32 ),
inference(split_clause,[status(thm)],[f161,f425,f288]) ).
fof(f429,plain,
( spl0_32
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f162,f288,f425]) ).
fof(f430,plain,
( spl0_62
<=> u_41 ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( spl0_62
| spl0_36 ),
inference(split_clause,[status(thm)],[f163,f430,f304]) ).
fof(f434,plain,
( spl0_36
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f164,f304,f430]) ).
fof(f435,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f84]) ).
fof(f436,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f435]) ).
fof(f437,plain,
$false,
inference(sat_refutation,[status(thm)],[f174,f185,f195,f196,f204,f211,f212,f220,f227,f228,f235,f236,f243,f244,f252,f259,f260,f268,f275,f276,f283,f284,f291,f292,f299,f300,f307,f308,f312,f313,f317,f318,f323,f327,f328,f332,f333,f337,f338,f342,f343,f347,f348,f352,f353,f357,f358,f363,f367,f368,f372,f373,f377,f378,f382,f383,f387,f388,f392,f393,f405,f406,f418,f419,f423,f424,f428,f429,f433,f434,f436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN094-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n011.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 21:57:01 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.018590 seconds
% 0.13/0.38 % CPU time: 0.028977 seconds
% 0.13/0.38 % Total memory used: 2.455 MB
% 0.13/0.38 % Net memory used: 2.433 MB
%------------------------------------------------------------------------------