%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:49:39 PM UTC 2026
% Result : Unsatisfiable 1.81s 0.67s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 70
% Syntax : Number of formulae : 165 ( 9 unt; 34 def)
% Number of atoms : 422 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 438 ( 181 ~; 223 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 69 ( 68 usr; 69 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_goal_1) ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s3_goal_1) ).
fof(f5,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_2) ).
fof(f6,axiom,
( p_0
| ~ u_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_3_s3_type11_2) ).
fof(f13,axiom,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_6) ).
fof(f14,axiom,
( p_2
| ~ u_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_7_s3_type11_6) ).
fof(f19,axiom,
( u_10
| p_4
| ~ p_5
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_9) ).
fof(f20,axiom,
( p_4
| ~ u_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_10_s3_type11_9) ).
fof(f23,axiom,
( u_12
| p_5
| ~ p_6
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_11) ).
fof(f24,axiom,
( p_5
| ~ u_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_12_s3_type11_11) ).
fof(f25,axiom,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_12) ).
fof(f26,axiom,
( p_5
| ~ u_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_13_s3_type11_12) ).
fof(f29,axiom,
( u_15
| p_6
| ~ q_7
| ~ q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_14) ).
fof(f30,axiom,
( p_6
| ~ u_15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_15_s3_type11_14) ).
fof(f33,axiom,
( u_17
| p_7
| ~ q_8
| ~ q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_16) ).
fof(f34,axiom,
( p_7
| ~ u_17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_17_s3_type11_16) ).
fof(f37,axiom,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_2) ).
fof(f38,axiom,
( q_0
| ~ u_19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_19_s3_type12_2) ).
fof(f39,axiom,
( u_20
| q_1
| ~ p_2
| ~ q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_3) ).
fof(f40,axiom,
( q_1
| ~ u_20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_20_s3_type12_3) ).
fof(f45,axiom,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_6) ).
fof(f46,axiom,
( q_2
| ~ u_23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_23_s3_type12_6) ).
fof(f49,axiom,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_8) ).
fof(f50,axiom,
( q_3
| ~ u_25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_25_s3_type12_8) ).
fof(f51,axiom,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_9) ).
fof(f52,axiom,
( q_4
| ~ u_26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_26_s3_type12_9) ).
fof(f61,axiom,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_14) ).
fof(f62,axiom,
( q_6
| ~ u_31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_31_s3_type12_14) ).
fof(f63,axiom,
( u_32
| q_7
| ~ p_8
| ~ q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_15) ).
fof(f64,axiom,
( q_7
| ~ u_32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_32_s3_type12_15) ).
fof(f75,axiom,
( u_38
| p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_1) ).
fof(f76,axiom,
( p_8
| ~ u_38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_38_t3_1) ).
fof(f79,axiom,
( u_40
| q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_3) ).
fof(f80,axiom,
( q_8
| ~ u_40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_40_t3_3) ).
fof(f81,axiom,
( u_41
| q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_4) ).
fof(f82,axiom,
( q_9
| ~ u_41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_41_t3_4) ).
fof(f84,definition,
( spl0_1
<=> u_41 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f88,definition,
( spl0_2
<=> q_9 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f91,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f82,f88,f84]) ).
fof(f92,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f81,f84,f88]) ).
fof(f94,definition,
( spl0_3
<=> u_40 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f98,definition,
( spl0_4
<=> q_8 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f101,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f80,f98,f94]) ).
fof(f102,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f79,f94,f98]) ).
fof(f114,definition,
( spl0_7
<=> u_38 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f118,definition,
( spl0_8
<=> p_8 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f121,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f76,f118,f114]) ).
fof(f122,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f75,f114,f118]) ).
fof(f129,definition,
( spl0_10
<=> q_4 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f139,definition,
( spl0_12
<=> p_4 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f148,definition,
( spl0_14
<=> q_7 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f154,definition,
( spl0_15
<=> u_32 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f157,plain,
( ~ spl0_15
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f148,f154]) ).
fof(f158,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f63,f154,f148,f118,f88]) ).
fof(f160,definition,
( spl0_16
<=> u_31 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,definition,
( spl0_17
<=> q_6 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f167,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f62,f164,f160]) ).
fof(f168,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_17
| spl0_16 ),
inference(avatar_split_clause,[],[f61,f160,f164,f148,f118]) ).
fof(f175,definition,
( spl0_19
<=> p_7 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f195,definition,
( spl0_23
<=> p_6 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f206,definition,
( spl0_25
<=> u_26 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f209,plain,
( ~ spl0_25
| spl0_10 ),
inference(avatar_split_clause,[],[f52,f129,f206]) ).
fof(f211,definition,
( spl0_26
<=> p_5 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f214,plain,
( ~ spl0_17
| ~ spl0_26
| spl0_10
| spl0_25 ),
inference(avatar_split_clause,[],[f51,f206,f129,f211,f164]) ).
fof(f216,definition,
( spl0_27
<=> u_25 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f220,definition,
( spl0_28
<=> q_3 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f223,plain,
( ~ spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f50,f220,f216]) ).
fof(f224,plain,
( ~ spl0_26
| ~ spl0_10
| spl0_28
| spl0_27 ),
inference(avatar_split_clause,[],[f49,f216,f220,f129,f211]) ).
fof(f232,definition,
( spl0_30
<=> u_23 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f236,definition,
( spl0_31
<=> q_2 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f239,plain,
( ~ spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f46,f236,f232]) ).
fof(f240,plain,
( ~ spl0_12
| ~ spl0_28
| spl0_31
| spl0_30 ),
inference(avatar_split_clause,[],[f45,f232,f236,f220,f139]) ).
fof(f256,definition,
( spl0_35
<=> q_1 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f262,definition,
( spl0_36
<=> u_20 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f265,plain,
( ~ spl0_36
| spl0_35 ),
inference(avatar_split_clause,[],[f40,f256,f262]) ).
fof(f267,definition,
( spl0_37
<=> p_2 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f270,plain,
( ~ spl0_28
| ~ spl0_37
| spl0_35
| spl0_36 ),
inference(avatar_split_clause,[],[f39,f262,f256,f267,f220]) ).
fof(f272,definition,
( spl0_38
<=> u_19 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f276,definition,
( spl0_39
<=> q_0 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f279,plain,
( ~ spl0_38
| spl0_39 ),
inference(avatar_split_clause,[],[f38,f276,f272]) ).
fof(f280,plain,
( ~ spl0_37
| ~ spl0_35
| spl0_39
| spl0_38 ),
inference(avatar_split_clause,[],[f37,f272,f276,f256,f267]) ).
fof(f292,definition,
( spl0_42
<=> u_17 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f295,plain,
( ~ spl0_42
| spl0_19 ),
inference(avatar_split_clause,[],[f34,f175,f292]) ).
fof(f296,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_19
| spl0_42 ),
inference(avatar_split_clause,[],[f33,f292,f175,f98,f88]) ).
fof(f304,definition,
( spl0_44
<=> u_15 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f307,plain,
( ~ spl0_44
| spl0_23 ),
inference(avatar_split_clause,[],[f30,f195,f304]) ).
fof(f308,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_23
| spl0_44 ),
inference(avatar_split_clause,[],[f29,f304,f195,f148,f98]) ).
fof(f316,definition,
( spl0_46
<=> u_13 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f319,plain,
( ~ spl0_46
| spl0_26 ),
inference(avatar_split_clause,[],[f26,f211,f316]) ).
fof(f320,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_26
| spl0_46 ),
inference(avatar_split_clause,[],[f25,f316,f211,f164,f148]) ).
fof(f322,definition,
( spl0_47
<=> u_12 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f325,plain,
( ~ spl0_47
| spl0_26 ),
inference(avatar_split_clause,[],[f24,f211,f322]) ).
fof(f326,plain,
( ~ spl0_19
| ~ spl0_23
| spl0_26
| spl0_47 ),
inference(avatar_split_clause,[],[f23,f322,f211,f195,f175]) ).
fof(f334,definition,
( spl0_49
<=> u_10 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f337,plain,
( ~ spl0_49
| spl0_12 ),
inference(avatar_split_clause,[],[f20,f139,f334]) ).
fof(f338,plain,
( ~ spl0_23
| ~ spl0_26
| spl0_12
| spl0_49 ),
inference(avatar_split_clause,[],[f19,f334,f139,f211,f195]) ).
fof(f352,definition,
( spl0_52
<=> u_7 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f355,plain,
( ~ spl0_52
| spl0_37 ),
inference(avatar_split_clause,[],[f14,f267,f352]) ).
fof(f356,plain,
( ~ spl0_10
| ~ spl0_28
| spl0_37
| spl0_52 ),
inference(avatar_split_clause,[],[f13,f352,f267,f220,f129]) ).
fof(f376,definition,
( spl0_56
<=> u_3 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f380,definition,
( spl0_57
<=> p_0 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f383,plain,
( ~ spl0_56
| spl0_57 ),
inference(avatar_split_clause,[],[f6,f380,f376]) ).
fof(f384,plain,
( ~ spl0_31
| ~ spl0_35
| spl0_57
| spl0_56 ),
inference(avatar_split_clause,[],[f5,f376,f380,f256,f236]) ).
fof(f392,definition,
( spl0_59
<=> u_1 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f394,plain,
( u_1
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( ~ spl0_39
| ~ spl0_57
| spl0_59 ),
inference(avatar_split_clause,[],[f1,f392,f380,f276]) ).
fof(f396,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f2,f394]) ).
fof(f397,plain,
~ spl0_59,
inference(avatar_contradiction_clause,[],[f396]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f91]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f101]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f102]) ).
cnf(s7,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f121]) ).
cnf(s8,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f122]) ).
cnf(s15,plain,
( spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s16,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s17,plain,
( ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f167]) ).
cnf(s18,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f168]) ).
cnf(s27,plain,
( spl0_10
| ~ spl0_25 ),
inference(sat_conversion,[],[f209]) ).
cnf(s28,plain,
( spl0_10
| ~ spl0_17
| spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f214]) ).
cnf(s29,plain,
( ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f223]) ).
cnf(s30,plain,
( ~ spl0_10
| ~ spl0_26
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f224]) ).
cnf(s33,plain,
( ~ spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f239]) ).
cnf(s34,plain,
( ~ spl0_12
| ~ spl0_28
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f240]) ).
cnf(s39,plain,
( spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f265]) ).
cnf(s40,plain,
( ~ spl0_28
| spl0_35
| spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f270]) ).
cnf(s41,plain,
( ~ spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f279]) ).
cnf(s42,plain,
( ~ spl0_35
| ~ spl0_37
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f280]) ).
cnf(s45,plain,
( spl0_19
| ~ spl0_42 ),
inference(sat_conversion,[],[f295]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_19
| spl0_42 ),
inference(sat_conversion,[],[f296]) ).
cnf(s49,plain,
( spl0_23
| ~ spl0_44 ),
inference(sat_conversion,[],[f307]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_23
| spl0_44 ),
inference(sat_conversion,[],[f308]) ).
cnf(s53,plain,
( spl0_26
| ~ spl0_46 ),
inference(sat_conversion,[],[f319]) ).
cnf(s54,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_26
| spl0_46 ),
inference(sat_conversion,[],[f320]) ).
cnf(s55,plain,
( spl0_26
| ~ spl0_47 ),
inference(sat_conversion,[],[f325]) ).
cnf(s56,plain,
( ~ spl0_19
| ~ spl0_23
| spl0_26
| spl0_47 ),
inference(sat_conversion,[],[f326]) ).
cnf(s59,plain,
( spl0_12
| ~ spl0_49 ),
inference(sat_conversion,[],[f337]) ).
cnf(s60,plain,
( spl0_12
| ~ spl0_23
| ~ spl0_26
| spl0_49 ),
inference(sat_conversion,[],[f338]) ).
cnf(s65,plain,
( spl0_37
| ~ spl0_52 ),
inference(sat_conversion,[],[f355]) ).
cnf(s66,plain,
( ~ spl0_10
| ~ spl0_28
| spl0_37
| spl0_52 ),
inference(sat_conversion,[],[f356]) ).
cnf(s73,plain,
( ~ spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f383]) ).
cnf(s74,plain,
( ~ spl0_31
| ~ spl0_35
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f384]) ).
cnf(s77,plain,
( ~ spl0_39
| ~ spl0_57
| spl0_59 ),
inference(sat_conversion,[],[f395]) ).
cnf(s78,plain,
~ spl0_59,
inference(sat_conversion,[],[f397]) ).
cnf(s79,plain,
( ~ spl0_39
| ~ spl0_57 ),
inference(rat,[],[s77,s78]) ).
cnf(s80,plain,
( ~ spl0_17
| ~ spl0_14
| spl0_10 ),
inference(rat,[],[s54,s53,s28,s27]) ).
cnf(s81,plain,
( ~ spl0_14
| spl0_10
| ~ spl0_8 ),
inference(rat,[],[s18,s17,s80]) ).
cnf(s82,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s16,s15]) ).
cnf(s84,plain,
( spl0_23
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s50,s49]) ).
cnf(s85,plain,
( spl0_12
| ~ spl0_26
| ~ spl0_23 ),
inference(rat,[],[s60,s59]) ).
cnf(s86,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s46,s45]) ).
cnf(s88,plain,
( spl0_37
| ~ spl0_28
| ~ spl0_10 ),
inference(rat,[],[s66,s65]) ).
cnf(s89,plain,
( spl0_57
| ~ spl0_35
| ~ spl0_31 ),
inference(rat,[],[s74,s73]) ).
cnf(s90,plain,
( ~ spl0_35
| ~ spl0_31
| ~ spl0_37 ),
inference(rat,[],[s42,s41,s79,s89]) ).
cnf(s91,plain,
( ~ spl0_37
| spl0_35
| ~ spl0_28 ),
inference(rat,[],[s39,s40]) ).
cnf(s93,plain,
( ~ spl0_28
| ~ spl0_31
| ~ spl0_10 ),
inference(rat,[],[s90,s91,s88]) ).
cnf(s94,plain,
( spl0_28
| ~ spl0_26
| ~ spl0_10 ),
inference(rat,[],[s30,s29]) ).
cnf(s95,plain,
( ~ spl0_26
| ~ spl0_23
| ~ spl0_10 ),
inference(rat,[],[s34,s33,s93,s94,s85]) ).
cnf(s96,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s56,s55,s95,s84,s81,s82,s86]) ).
cnf(s97,plain,
spl0_8,
inference(rat,[],[s7,s8]) ).
cnf(s98,plain,
spl0_4,
inference(rat,[],[s3,s4]) ).
cnf(s99,plain,
~ spl0_2,
inference(rat,[],[s96,s97,s98]) ).
cnf(s101,plain,
spl0_1,
inference(rat,[],[s2,s99]) ).
cnf(s102,plain,
$false,
inference(rat,[],[s1,s99,s101]) ).
fof(f398,plain,
$false,
inference(avatar_sat_refutation,[],[s102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n002.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 15:36:07 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.81/0.67 % (456315)Input is clausal, will run a generic CNF schedule.
% 1.81/0.67 % (456346)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2135987938:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 1.81/0.67 % (456346)First to succeed.
% 1.81/0.67 % (456346)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-456315"
% 1.81/0.67 % (456345)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1368381637:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 1.81/0.67 % (456344)lrs+10_1_sil=8000:sp=occurrence:random_seed=3136180605:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 1.81/0.67 % (456342)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2102924379:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 1.81/0.67 % (456347)dis-21_1_sil=8000:lcm=predicate:random_seed=4161941741:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 1.81/0.67 % (456341)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3497773692:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 1.81/0.67 % (456343)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3567259884:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 1.81/0.67 % (456345)Refutation not found, incomplete strategy
% 1.81/0.67 % (456345)------------------------------
% 1.81/0.67 % (456345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/0.67 % (456345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.67 % (456345)CaDiCaL version: 2.1.3
% 1.81/0.67 % (456345)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.67 % (456345)Time elapsed: 0.001 s
% 1.81/0.67 % (456345)Peak memory usage: 86 MB
% 1.81/0.67 % (456344)Refutation not found, incomplete strategy
% 1.81/0.67 % (456344)------------------------------
% 1.81/0.67 % (456344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/0.67 % (456344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.67 % (456344)CaDiCaL version: 2.1.3
% 1.81/0.67 % (456344)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.67 % (456344)Time elapsed: 0.001 s
% 1.81/0.67 % (456344)Peak memory usage: 86 MB
% 1.81/0.67 % (456347)Also succeeded, but the first one will report.
% 1.81/0.67 % (456346)Refutation found. Thanks to Tanya!
% 1.81/0.67 % SZS status Unsatisfiable for theBenchmark
% 1.81/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.76 % (456346)------------------------------
% 2.15/0.76 % (456346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/0.76 % (456346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.76 % (456346)CaDiCaL version: 2.1.3
% 2.15/0.76 % (456346)Termination reason: Refutation
% 2.15/0.76 % (456346)Time elapsed: 0.002 s
% 2.15/0.76 % (456346)Peak memory usage: 89 MB
% 2.15/0.76 % (456346)Instructions burned: 4 (million)
% 2.15/0.76 % (456346)------------------------------
% 2.15/0.76 % (456346)------------------------------
% 2.15/0.76 % (456315)Success in time 0.255 s
% 2.15/0.76 % Vampire exiting
%------------------------------------------------------------------------------