%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:15:12 PM UTC 2026
% 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; 59 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,
( ~ q_0
| ~ p_0
| u_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ~ u_2
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ~ u_3
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( ~ u_4
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ q_3
| ~ q_2
| p_1
| u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ~ u_5
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( ~ u_6
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( ~ q_4
| ~ q_3
| p_2
| u_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( ~ u_7
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( ~ p_5
| ~ p_4
| p_3
| u_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( ~ u_8
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( ~ q_5
| ~ q_4
| p_3
| u_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( ~ u_9
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( ~ u_10
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( ~ q_6
| ~ q_5
| p_4
| u_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( ~ u_11
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( ~ u_12
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( ~ q_7
| ~ q_6
| p_5
| u_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( ~ u_13
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( ~ p_8
| ~ p_7
| p_6
| u_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( ~ u_14
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( ~ q_8
| ~ q_7
| p_6
| u_15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( ~ u_15
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( ~ p_9
| ~ p_8
| p_7
| u_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
( ~ u_16
| p_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( ~ q_9
| ~ q_8
| p_7
| u_17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( ~ u_17
| p_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
( ~ q_2
| ~ p_1
| q_0
| u_18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
( ~ u_18
| q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
( ~ p_2
| ~ q_1
| q_0
| u_19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
( ~ u_19
| q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
( ~ u_20
| q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
( ~ p_3
| ~ q_2
| q_1
| u_21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
( ~ u_21
| q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
( ~ q_4
| ~ p_3
| q_2
| u_22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
( ~ u_22
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
( ~ p_4
| ~ q_3
| q_2
| u_23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
( ~ u_23
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
( ~ q_5
| ~ p_4
| q_3
| u_24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
( ~ u_24
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
( ~ p_5
| ~ q_4
| q_3
| u_25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( ~ u_25
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
( ~ q_6
| ~ p_5
| q_4
| u_26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
( ~ u_26
| q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
( ~ p_6
| ~ q_5
| q_4
| u_27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
( ~ u_27
| q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
( ~ u_28
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
( ~ p_7
| ~ q_6
| q_5
| u_29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
( ~ u_29
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
( ~ q_8
| ~ p_7
| q_6
| u_30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
( ~ u_30
| q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
( ~ p_8
| ~ q_7
| q_6
| u_31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
( ~ u_31
| q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
( ~ q_9
| ~ p_8
| q_7
| u_32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
( ~ u_32
| q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
( ~ p_9
| ~ q_8
| q_7
| u_33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
( ~ u_33
| q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
( ~ p_4
| p_9
| u_34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
( ~ u_34
| p_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
( ~ q_4
| q_9
| u_36 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
( ~ u_36
| q_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
( p_8
| u_38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
( ~ u_38
| p_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
( p_9
| u_39 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
( ~ u_39
| p_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
( q_8
| u_40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
( ~ u_40
| q_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
( q_9
| u_41 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
( ~ u_41
| q_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,plain,
( ~ q_0
| ~ p_0
| u_1 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f84,plain,
~ u_1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f86,plain,
( ~ u_2
| p_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f88,plain,
( ~ u_3
| p_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f90,plain,
( ~ u_4
| p_1 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f91,plain,
( ~ q_3
| ~ q_2
| p_1
| u_5 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f92,plain,
( ~ u_5
| p_1 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f94,plain,
( ~ u_6
| p_2 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f95,plain,
( ~ q_4
| ~ q_3
| p_2
| u_7 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f96,plain,
( ~ u_7
| p_2 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f97,plain,
( ~ p_5
| ~ p_4
| p_3
| u_8 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f98,plain,
( ~ u_8
| p_3 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f99,plain,
( ~ q_5
| ~ q_4
| p_3
| u_9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f100,plain,
( ~ u_9
| p_3 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f102,plain,
( ~ u_10
| p_4 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f103,plain,
( ~ q_6
| ~ q_5
| p_4
| u_11 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f104,plain,
( ~ u_11
| p_4 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f106,plain,
( ~ u_12
| p_5 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f107,plain,
( ~ q_7
| ~ q_6
| p_5
| u_13 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f108,plain,
( ~ u_13
| p_5 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f109,plain,
( ~ p_8
| ~ p_7
| p_6
| u_14 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f110,plain,
( ~ u_14
| p_6 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f111,plain,
( ~ q_8
| ~ q_7
| p_6
| u_15 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f112,plain,
( ~ u_15
| p_6 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f113,plain,
( ~ p_9
| ~ p_8
| p_7
| u_16 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f114,plain,
( ~ u_16
| p_7 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f115,plain,
( ~ q_9
| ~ q_8
| p_7
| u_17 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f116,plain,
( ~ u_17
| p_7 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f117,plain,
( ~ q_2
| ~ p_1
| q_0
| u_18 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f118,plain,
( ~ u_18
| q_0 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f119,plain,
( ~ p_2
| ~ q_1
| q_0
| u_19 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f120,plain,
( ~ u_19
| q_0 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f122,plain,
( ~ u_20
| q_1 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f123,plain,
( ~ p_3
| ~ q_2
| q_1
| u_21 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f124,plain,
( ~ u_21
| q_1 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f125,plain,
( ~ q_4
| ~ p_3
| q_2
| u_22 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f126,plain,
( ~ u_22
| q_2 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f127,plain,
( ~ p_4
| ~ q_3
| q_2
| u_23 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f128,plain,
( ~ u_23
| q_2 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f129,plain,
( ~ q_5
| ~ p_4
| q_3
| u_24 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f130,plain,
( ~ u_24
| q_3 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f131,plain,
( ~ p_5
| ~ q_4
| q_3
| u_25 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f132,plain,
( ~ u_25
| q_3 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f133,plain,
( ~ q_6
| ~ p_5
| q_4
| u_26 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f134,plain,
( ~ u_26
| q_4 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f135,plain,
( ~ p_6
| ~ q_5
| q_4
| u_27 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f136,plain,
( ~ u_27
| q_4 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f138,plain,
( ~ u_28
| q_5 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f139,plain,
( ~ p_7
| ~ q_6
| q_5
| u_29 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f140,plain,
( ~ u_29
| q_5 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f141,plain,
( ~ q_8
| ~ p_7
| q_6
| u_30 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f142,plain,
( ~ u_30
| q_6 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f143,plain,
( ~ p_8
| ~ q_7
| q_6
| u_31 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f144,plain,
( ~ u_31
| q_6 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f145,plain,
( ~ q_9
| ~ p_8
| q_7
| u_32 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f146,plain,
( ~ u_32
| q_7 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f147,plain,
( ~ p_9
| ~ q_8
| q_7
| u_33 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f148,plain,
( ~ u_33
| q_7 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f149,plain,
( ~ p_4
| p_9
| u_34 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f150,plain,
( ~ u_34
| p_9 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f153,plain,
( ~ q_4
| q_9
| u_36 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f154,plain,
( ~ u_36
| q_9 ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f157,plain,
( p_8
| u_38 ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f158,plain,
( ~ u_38
| p_8 ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f159,plain,
( p_9
| u_39 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f160,plain,
( ~ u_39
| p_9 ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f161,plain,
( q_8
| u_40 ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f162,plain,
( ~ u_40
| q_8 ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f163,plain,
( q_9
| u_41 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f164,plain,
( ~ u_41
| q_9 ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f165,definition,
( sQ0_spl
<=> u_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ0_spl
| u_1 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ1_spl
<=> p_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f171,definition,
( sQ2_spl
<=> q_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f83,f165,f168,f171]) ).
fof(f175,definition,
( sQ3_spl
<=> u_2 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f178,definition,
( sQ4_spl
<=> p_1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f181,definition,
( sQ5_spl
<=> p_2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ3_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f86,f168,f175]) ).
fof(f186,definition,
( sQ6_spl
<=> u_3 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f189,definition,
( sQ7_spl
<=> q_1 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f192,definition,
( sQ8_spl
<=> q_2 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f87,f186,f168,f189,f192]) ).
fof(f196,plain,
( ~ sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f88,f168,f186]) ).
fof(f197,definition,
( sQ9_spl
<=> u_4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f200,definition,
( sQ10_spl
<=> p_3 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f90,f178,f197]) ).
fof(f205,definition,
( sQ11_spl
<=> u_5 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f208,definition,
( sQ12_spl
<=> q_3 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f91,f205,f178,f192,f208]) ).
fof(f212,plain,
( ~ sQ11_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f92,f178,f205]) ).
fof(f213,definition,
( sQ13_spl
<=> u_6 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f216,definition,
( sQ14_spl
<=> p_4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ13_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f94,f181,f213]) ).
fof(f221,definition,
( sQ15_spl
<=> u_7 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f224,definition,
( sQ16_spl
<=> q_4 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f95,f221,f181,f208,f224]) ).
fof(f228,plain,
( ~ sQ15_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f96,f181,f221]) ).
fof(f229,definition,
( sQ17_spl
<=> u_8 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f232,definition,
( sQ18_spl
<=> p_5 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ18_spl
| ~ sQ14_spl
| sQ10_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f97,f229,f200,f216,f232]) ).
fof(f236,plain,
( ~ sQ17_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f98,f200,f229]) ).
fof(f237,definition,
( sQ19_spl
<=> u_9 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f240,definition,
( sQ20_spl
<=> q_5 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| sQ10_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f99,f237,f200,f224,f240]) ).
fof(f244,plain,
( ~ sQ19_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f100,f200,f237]) ).
fof(f245,definition,
( sQ21_spl
<=> u_10 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f248,definition,
( sQ22_spl
<=> p_6 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ21_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f102,f216,f245]) ).
fof(f253,definition,
( sQ23_spl
<=> u_11 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f256,definition,
( sQ24_spl
<=> q_6 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| sQ14_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f103,f253,f216,f240,f256]) ).
fof(f260,plain,
( ~ sQ23_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f104,f216,f253]) ).
fof(f261,definition,
( sQ25_spl
<=> u_12 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f264,definition,
( sQ26_spl
<=> p_7 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ25_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f106,f232,f261]) ).
fof(f269,definition,
( sQ27_spl
<=> u_13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f272,definition,
( sQ28_spl
<=> q_7 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| sQ18_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f107,f269,f232,f256,f272]) ).
fof(f276,plain,
( ~ sQ27_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f108,f232,f269]) ).
fof(f277,definition,
( sQ29_spl
<=> u_14 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f280,definition,
( sQ30_spl
<=> p_8 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| sQ22_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f109,f277,f248,f264,f280]) ).
fof(f284,plain,
( ~ sQ29_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f110,f248,f277]) ).
fof(f285,definition,
( sQ31_spl
<=> u_15 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f288,definition,
( sQ32_spl
<=> q_8 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ32_spl
| ~ sQ28_spl
| sQ22_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f111,f285,f248,f272,f288]) ).
fof(f292,plain,
( ~ sQ31_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f112,f248,f285]) ).
fof(f293,definition,
( sQ33_spl
<=> u_16 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f296,definition,
( sQ34_spl
<=> p_9 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ34_spl
| ~ sQ30_spl
| sQ26_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f113,f293,f264,f280,f296]) ).
fof(f300,plain,
( ~ sQ33_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f114,f264,f293]) ).
fof(f301,definition,
( sQ35_spl
<=> u_17 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f304,definition,
( sQ36_spl
<=> q_9 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| sQ26_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f115,f301,f264,f288,f304]) ).
fof(f308,plain,
( ~ sQ35_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f116,f264,f301]) ).
fof(f309,definition,
( sQ37_spl
<=> u_18 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| sQ2_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f117,f309,f171,f178,f192]) ).
fof(f313,plain,
( ~ sQ37_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f118,f171,f309]) ).
fof(f314,definition,
( sQ38_spl
<=> u_19 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ2_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f119,f314,f171,f189,f181]) ).
fof(f318,plain,
( ~ sQ38_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f120,f171,f314]) ).
fof(f319,definition,
( sQ39_spl
<=> u_20 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ39_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f122,f189,f319]) ).
fof(f324,definition,
( sQ40_spl
<=> u_21 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ7_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f123,f324,f189,f192,f200]) ).
fof(f328,plain,
( ~ sQ40_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f124,f189,f324]) ).
fof(f329,definition,
( sQ41_spl
<=> u_22 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ16_spl
| ~ sQ10_spl
| sQ8_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f125,f329,f192,f200,f224]) ).
fof(f333,plain,
( ~ sQ41_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f126,f192,f329]) ).
fof(f334,definition,
( sQ42_spl
<=> u_23 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ8_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f127,f334,f192,f208,f216]) ).
fof(f338,plain,
( ~ sQ42_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f128,f192,f334]) ).
fof(f339,definition,
( sQ43_spl
<=> u_24 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| sQ12_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f129,f339,f208,f216,f240]) ).
fof(f343,plain,
( ~ sQ43_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f130,f208,f339]) ).
fof(f344,definition,
( sQ44_spl
<=> u_25 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| sQ12_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f131,f344,f208,f224,f232]) ).
fof(f348,plain,
( ~ sQ44_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f132,f208,f344]) ).
fof(f349,definition,
( sQ45_spl
<=> u_26 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ24_spl
| ~ sQ18_spl
| sQ16_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f133,f349,f224,f232,f256]) ).
fof(f353,plain,
( ~ sQ45_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f134,f224,f349]) ).
fof(f354,definition,
( sQ46_spl
<=> u_27 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| sQ16_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f135,f354,f224,f240,f248]) ).
fof(f358,plain,
( ~ sQ46_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f136,f224,f354]) ).
fof(f359,definition,
( sQ47_spl
<=> u_28 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ47_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f138,f240,f359]) ).
fof(f364,definition,
( sQ48_spl
<=> u_29 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| sQ20_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f139,f364,f240,f256,f264]) ).
fof(f368,plain,
( ~ sQ48_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f140,f240,f364]) ).
fof(f369,definition,
( sQ49_spl
<=> u_30 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| sQ24_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f141,f369,f256,f264,f288]) ).
fof(f373,plain,
( ~ sQ49_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f142,f256,f369]) ).
fof(f374,definition,
( sQ50_spl
<=> u_31 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| sQ24_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f143,f374,f256,f272,f280]) ).
fof(f378,plain,
( ~ sQ50_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f144,f256,f374]) ).
fof(f379,definition,
( sQ51_spl
<=> u_32 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| sQ28_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f145,f379,f272,f280,f304]) ).
fof(f383,plain,
( ~ sQ51_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f146,f272,f379]) ).
fof(f384,definition,
( sQ52_spl
<=> u_33 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| sQ28_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f147,f384,f272,f288,f296]) ).
fof(f388,plain,
( ~ sQ52_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f148,f272,f384]) ).
fof(f389,definition,
( sQ53_spl
<=> u_34 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ14_spl
| sQ34_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f149,f389,f296,f216]) ).
fof(f393,plain,
( ~ sQ53_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f150,f296,f389]) ).
fof(f402,definition,
( sQ56_spl
<=> u_36 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ16_spl
| sQ36_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f153,f402,f304,f224]) ).
fof(f406,plain,
( ~ sQ56_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f154,f304,f402]) ).
fof(f415,definition,
( sQ59_spl
<=> u_38 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( sQ30_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f157,f415,f280]) ).
fof(f419,plain,
( ~ sQ59_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f158,f280,f415]) ).
fof(f420,definition,
( sQ60_spl
<=> u_39 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ34_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f159,f420,f296]) ).
fof(f424,plain,
( ~ sQ60_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f160,f296,f420]) ).
fof(f425,definition,
( sQ61_spl
<=> u_40 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ32_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f161,f425,f288]) ).
fof(f429,plain,
( ~ sQ61_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f162,f288,f425]) ).
fof(f430,definition,
( sQ62_spl
<=> u_41 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ36_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f163,f430,f304]) ).
fof(f434,plain,
( ~ sQ62_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f164,f304,f430]) ).
fof(f435,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f166]) ).
fof(f436,plain,
~ sQ0_spl,
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
% 0.00/0.03 % Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:42:57 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 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: 0.036061 seconds
% 0.13/0.38 % CPU time: 0.092679 seconds
% 0.13/0.38 % Total memory used: 14.049 MB
% 0.13/0.38 % Net memory used: 14.044 MB
%------------------------------------------------------------------------------