%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET136-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:40:15 PM UTC 2026
% Result : Unsatisfiable 6.06s 1.72s
% Output : Refutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 37
% Syntax : Number of formulae : 153 ( 55 unt; 26 def)
% Number of atoms : 294 ( 62 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 272 ( 131 ~; 130 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_4_to_member_of_triple_1) ).
fof(f103,negated_conjecture,
set_builder(x,set_builder(y,set_builder(u,null_class))) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_4_to_member_of_triple_2) ).
fof(f104,plain,
null_class = set_builder(x,set_builder(y,set_builder(u,null_class))),
inference(reorient_equations,[],[f103]) ).
fof(f110,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f154,plain,
null_class = complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(null_class))))))))),
inference(definition_unfolding,[],[f104,f110,f110,f110]) ).
fof(f158,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f159,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f161,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF2 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f163,plain,
unordered_pair(y,y) = sF2,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f165,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF4 = unordered_pair(u,u),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f167,plain,
unordered_pair(u,u) = sF4,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f169,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF6 = complement(null_class),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f171,plain,
complement(null_class) = sF6,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF7 = intersection(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f173,plain,
intersection(sF5,sF6) = sF7,
inference(reorient_equations,[],[f172]) ).
fof(f174,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f175,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f174]) ).
fof(f176,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f177,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f176]) ).
fof(f178,definition,
sF10 = intersection(sF3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f179,plain,
intersection(sF3,sF9) = sF10,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f181,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f183,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f182]) ).
fof(f184,definition,
sF13 = intersection(sF1,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f185,plain,
intersection(sF1,sF12) = sF13,
inference(reorient_equations,[],[f184]) ).
fof(f186,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f187,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f186]) ).
fof(f188,plain,
null_class = sF14,
inference(definition_folding,[],[f154,f187,f185,f183,f181,f179,f177,f175,f173,f171,f169,f167,f165,f163,f161,f159]) ).
fof(f189,plain,
null_class = complement(sF13),
inference(forward_demodulation,[],[f187,f188]) ).
fof(f190,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f171]) ).
fof(f191,plain,
! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f189]) ).
fof(f192,plain,
! [X0] :
( ~ member(X0,sF12)
| ~ member(X0,sF11) ),
inference(superposition,[],[f24,f183]) ).
fof(f194,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF5) ),
inference(superposition,[],[f21,f173]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF8) ),
inference(superposition,[],[f24,f177]) ).
fof(f198,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,sF4) ),
inference(superposition,[],[f24,f169]) ).
fof(f200,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF9) ),
inference(superposition,[],[f22,f179]) ).
fof(f201,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF6) ),
inference(superposition,[],[f22,f173]) ).
fof(f202,plain,
! [X0] :
( ~ member(X0,sF13)
| member(X0,sF12) ),
inference(superposition,[],[f22,f185]) ).
fof(f205,plain,
( member(u,sF4)
| ~ member(u,universal_class) ),
inference(superposition,[],[f9,f167]) ).
fof(f226,plain,
member(u,sF4),
inference(forward_subsumption_resolution,[],[f205,f102]) ).
fof(f235,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f25,f175]) ).
fof(f237,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF11)
| member(X0,sF10) ),
inference(superposition,[],[f25,f181]) ).
fof(f239,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,null_class)
| member(X0,sF13) ),
inference(superposition,[],[f25,f189]) ).
fof(f240,plain,
( member(u,null_class)
| member(u,sF13) ),
inference(resolution,[],[f239,f102]) ).
fof(f242,definition,
( spl15_5
<=> member(u,sF13) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f244,plain,
( member(u,sF13)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl15_6
<=> member(u,null_class) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f248,plain,
( member(u,null_class)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f240,f246,f242]) ).
fof(f265,plain,
( member(u,sF8)
| member(u,sF7) ),
inference(resolution,[],[f235,f102]) ).
fof(f267,definition,
( spl15_9
<=> member(u,sF7) ),
introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).
fof(f269,plain,
( member(u,sF7)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f271,definition,
( spl15_10
<=> member(u,sF8) ),
introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).
fof(f273,plain,
( member(u,sF8)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( spl15_9
| spl15_10 ),
inference(avatar_split_clause,[],[f265,f271,f267]) ).
fof(f275,plain,
( member(u,sF11)
| member(u,sF10) ),
inference(resolution,[],[f237,f102]) ).
fof(f277,definition,
( spl15_11
<=> member(u,sF10) ),
introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).
fof(f279,plain,
( member(u,sF10)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl15_12
<=> member(u,sF11) ),
introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).
fof(f283,plain,
( member(u,sF11)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f275,f281,f277]) ).
fof(f287,definition,
( spl15_13
<=> member(u,sF9) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f289,plain,
( member(u,sF9)
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f296,definition,
( spl15_14
<=> member(u,sF12) ),
introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).
fof(f297,plain,
( ~ member(u,sF12)
| spl15_14 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( member(u,sF12)
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f319,plain,
( member(u,sF12)
| ~ spl15_5 ),
inference(resolution,[],[f202,f244]) ).
fof(f320,plain,
( spl15_14
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f319,f242,f296]) ).
fof(f321,plain,
( ~ member(u,sF11)
| ~ spl15_14 ),
inference(resolution,[],[f298,f192]) ).
fof(f322,plain,
( $false
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_subsumption_resolution,[],[f321,f283]) ).
fof(f323,plain,
( ~ spl15_12
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f324,plain,
( member(u,sF9)
| ~ spl15_11 ),
inference(resolution,[],[f279,f200]) ).
fof(f327,plain,
( spl15_13
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f324,f277,f287]) ).
fof(f330,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f331,plain,
( ! [X0] :
( member(u,X0)
| null_class = X0 )
| ~ spl15_6 ),
inference(resolution,[],[f330,f248]) ).
fof(f348,plain,
( null_class = sF6
| ~ member(u,null_class)
| ~ spl15_6 ),
inference(resolution,[],[f331,f190]) ).
fof(f349,plain,
( null_class = sF7
| member(u,sF6)
| ~ spl15_6 ),
inference(resolution,[],[f331,f201]) ).
fof(f352,plain,
( null_class = sF9
| ~ member(u,sF8)
| ~ spl15_6 ),
inference(resolution,[],[f331,f197]) ).
fof(f356,plain,
( null_class = sF12
| ~ member(u,sF11)
| ~ spl15_6 ),
inference(resolution,[],[f331,f192]) ).
fof(f359,plain,
( null_class = sF13
| ~ member(u,null_class)
| ~ spl15_6 ),
inference(resolution,[],[f331,f191]) ).
fof(f360,plain,
( null_class = sF13
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f359,f248]) ).
fof(f362,plain,
( null_class = sF12
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_subsumption_resolution,[],[f356,f283]) ).
fof(f369,plain,
( null_class = sF9
| ~ spl15_6
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f352,f273]) ).
fof(f371,definition,
( spl15_18
<=> member(u,sF5) ),
introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).
fof(f373,plain,
( member(u,sF5)
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f375,definition,
( spl15_19
<=> null_class = sF7 ),
introduced(definition,[new_symbols(definition,[spl15_19])],[avatar_definition]) ).
fof(f377,plain,
( null_class = sF7
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f380,definition,
( spl15_20
<=> member(u,sF6) ),
introduced(definition,[new_symbols(definition,[spl15_20])],[avatar_definition]) ).
fof(f382,plain,
( member(u,sF6)
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,plain,
( spl15_20
| spl15_19
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f349,f246,f375,f380]) ).
fof(f384,plain,
( null_class = sF6
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f348,f248]) ).
fof(f387,plain,
( sF12 = sF13
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f362,f360]) ).
fof(f388,plain,
( sF9 = sF13
| ~ spl15_6
| ~ spl15_10 ),
inference(forward_demodulation,[],[f369,f360]) ).
fof(f389,plain,
( sF6 = sF13
| ~ spl15_6 ),
inference(forward_demodulation,[],[f384,f360]) ).
fof(f392,plain,
( sF9 = sF12
| ~ spl15_6
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f388,f387]) ).
fof(f393,plain,
( sF6 = sF12
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f389,f387]) ).
fof(f396,plain,
( sF6 = sF9
| ~ spl15_6
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f393,f392]) ).
fof(f417,plain,
( ~ member(u,sF8)
| ~ spl15_13 ),
inference(resolution,[],[f289,f197]) ).
fof(f418,plain,
( $false
| ~ spl15_10
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f417,f273]) ).
fof(f419,plain,
( ~ spl15_10
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f458,plain,
( member(u,sF7)
| ~ spl15_6
| ~ spl15_19 ),
inference(superposition,[],[f248,f377]) ).
fof(f473,plain,
( member(u,sF5)
| ~ spl15_9 ),
inference(resolution,[],[f269,f194]) ).
fof(f474,plain,
( spl15_18
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f473,f267,f371]) ).
fof(f479,plain,
( ~ member(u,sF4)
| ~ spl15_18 ),
inference(resolution,[],[f373,f198]) ).
fof(f480,plain,
( $false
| ~ spl15_18 ),
inference(forward_subsumption_resolution,[],[f479,f226]) ).
fof(f481,plain,
~ spl15_18,
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f487,plain,
( spl15_9
| ~ spl15_6
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f458,f375,f246,f267]) ).
fof(f490,plain,
( ~ member(u,sF9)
| ~ spl15_6
| ~ spl15_10
| ~ spl15_12
| spl15_14 ),
inference(forward_demodulation,[],[f297,f392]) ).
fof(f501,plain,
( ~ member(u,sF6)
| ~ spl15_6
| ~ spl15_10
| ~ spl15_12
| spl15_14 ),
inference(forward_demodulation,[],[f490,f396]) ).
fof(f502,plain,
( $false
| ~ spl15_6
| ~ spl15_10
| ~ spl15_12
| spl15_14
| ~ spl15_20 ),
inference(forward_subsumption_resolution,[],[f501,f382]) ).
fof(f503,plain,
( ~ spl15_6
| ~ spl15_10
| ~ spl15_12
| spl15_14
| ~ spl15_20 ),
inference(avatar_contradiction_clause,[],[f502]) ).
cnf(s3,plain,
( spl15_5
| spl15_6 ),
inference(sat_conversion,[],[f249]) ).
cnf(s6,plain,
( spl15_9
| spl15_10 ),
inference(sat_conversion,[],[f274]) ).
cnf(s7,plain,
( spl15_11
| spl15_12 ),
inference(sat_conversion,[],[f284]) ).
cnf(s15,plain,
( ~ spl15_5
| spl15_14 ),
inference(sat_conversion,[],[f320]) ).
cnf(s16,plain,
( ~ spl15_12
| ~ spl15_14 ),
inference(sat_conversion,[],[f323]) ).
cnf(s18,plain,
( ~ spl15_11
| spl15_13 ),
inference(sat_conversion,[],[f327]) ).
cnf(s22,plain,
( ~ spl15_6
| spl15_19
| spl15_20 ),
inference(sat_conversion,[],[f383]) ).
cnf(s29,plain,
( ~ spl15_10
| ~ spl15_13 ),
inference(sat_conversion,[],[f419]) ).
cnf(s41,plain,
( ~ spl15_9
| spl15_18 ),
inference(sat_conversion,[],[f474]) ).
cnf(s42,plain,
~ spl15_18,
inference(sat_conversion,[],[f481]) ).
cnf(s43,plain,
( ~ spl15_6
| spl15_9
| ~ spl15_19 ),
inference(sat_conversion,[],[f487]) ).
cnf(s46,plain,
( ~ spl15_6
| ~ spl15_10
| ~ spl15_12
| spl15_14
| ~ spl15_20 ),
inference(sat_conversion,[],[f503]) ).
cnf(s47,plain,
~ spl15_9,
inference(rat,[],[s41,s42]) ).
cnf(s49,plain,
spl15_10,
inference(rat,[],[s6,s47]) ).
cnf(s50,plain,
~ spl15_13,
inference(rat,[],[s29,s49]) ).
cnf(s51,plain,
~ spl15_11,
inference(rat,[],[s18,s50]) ).
cnf(s52,plain,
spl15_12,
inference(rat,[],[s7,s51]) ).
cnf(s53,plain,
~ spl15_14,
inference(rat,[],[s16,s52]) ).
cnf(s54,plain,
~ spl15_5,
inference(rat,[],[s15,s53]) ).
cnf(s55,plain,
spl15_6,
inference(rat,[],[s3,s54]) ).
cnf(s56,plain,
~ spl15_20,
inference(rat,[],[s46,s52,s53,s49,s55]) ).
cnf(s58,plain,
~ spl15_19,
inference(rat,[],[s43,s47,s55]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s22,s56,s58,s55]) ).
fof(f504,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET136-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:52:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.06/1.71 % (3561330)Input is clausal, will run a generic CNF schedule.
% 6.06/1.71 % (3561338)lrs+10_1_sil=8000:sp=occurrence:random_seed=2000217782:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.06/1.71 % (3561339)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2847949152:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.06/1.71 % (3561340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2811583026:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.06/1.71 % (3561336)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4288050811:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.06/1.71 % (3561337)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1091159144:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.06/1.71 % (3561341)dis-21_1_sil=8000:lcm=predicate:random_seed=2752542701:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.06/1.72 % (3561335)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=2513281888:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.06/1.72 % (3561338)Refutation not found, incomplete strategy
% 6.06/1.72 % (3561338)------------------------------
% 6.06/1.72 % (3561338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561338)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561338)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.72 % (3561338)Time elapsed: 0.005 s
% 6.06/1.72 % (3561338)Peak memory usage: 88 MB
% 6.06/1.72 % (3561338)Instructions burned: 6 (million)
% 6.06/1.72 % (3561341)Instruction limit reached!
% 6.06/1.72 % (3561341)------------------------------
% 6.06/1.72 % (3561341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561341)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561341)Termination reason: Instruction limit
% 6.06/1.72 % (3561341)Termination phase: Saturation
% 6.06/1.72 % (3561341)Time elapsed: 0.063 s
% 6.06/1.72 % (3561341)Peak memory usage: 88 MB
% 6.06/1.72 % (3561341)Instructions burned: 118 (million)
% 6.06/1.72 % (3561339)Instruction limit reached!
% 6.06/1.72 % (3561339)------------------------------
% 6.06/1.72 % (3561339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561339)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561339)Termination reason: Instruction limit
% 6.06/1.72 % (3561339)Termination phase: Saturation
% 6.06/1.72 % (3561339)Time elapsed: 0.071 s
% 6.06/1.72 % (3561339)Peak memory usage: 89 MB
% 6.06/1.72 % (3561339)Instructions burned: 114 (million)
% 6.06/1.72 % (3561340)Instruction limit reached!
% 6.06/1.72 % (3561340)------------------------------
% 6.06/1.72 % (3561340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561340)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561340)Termination reason: Instruction limit
% 6.06/1.72 % (3561340)Termination phase: Saturation
% 6.06/1.72 % (3561340)Time elapsed: 0.138 s
% 6.06/1.72 % (3561340)Peak memory usage: 90 MB
% 6.06/1.72 % (3561340)Instructions burned: 182 (million)
% 6.06/1.72 % (3561349)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2457418716:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.06/1.72 % (3561349)Refutation not found, incomplete strategy
% 6.06/1.72 % (3561349)------------------------------
% 6.06/1.72 % (3561349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561349)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561349)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.72 % (3561349)Time elapsed: 0.003 s
% 6.06/1.72 % (3561349)Peak memory usage: 88 MB
% 6.06/1.72 % (3561349)Instructions burned: 3 (million)
% 6.06/1.72 % (3561350)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2363825794:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.06/1.72 % (3561338)------------------------------
% 6.06/1.72 % (3561338)------------------------------
% 6.06/1.72 % (3561351)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2538255847:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.06/1.72 % (3561351)Refutation not found, incomplete strategy
% 6.06/1.72 % (3561351)------------------------------
% 6.06/1.72 % (3561351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561351)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561351)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.72 % (3561351)Time elapsed: 0.002 s
% 6.06/1.72 % (3561351)Peak memory usage: 88 MB
% 6.06/1.72 % (3561351)Instructions burned: 3 (million)
% 6.06/1.72 % (3561350)Instruction limit reached!
% 6.06/1.72 % (3561350)------------------------------
% 6.06/1.72 % (3561350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561350)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561350)Termination reason: Instruction limit
% 6.06/1.72 % (3561350)Termination phase: Saturation
% 6.06/1.72 % (3561350)Time elapsed: 0.093 s
% 6.06/1.72 % (3561350)Peak memory usage: 90 MB
% 6.06/1.72 % (3561350)Instructions burned: 191 (million)
% 6.06/1.72 % (3561354)lrs+10_64_to=lpo:sil=8000:random_seed=373678176:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.06/1.72 % (3561351)------------------------------
% 6.06/1.72 % (3561351)------------------------------
% 6.06/1.72 % (3561349)------------------------------
% 6.06/1.72 % (3561349)------------------------------
% 6.06/1.72 % (3561356)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=287528039:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.06/1.72 % (3561354)Instruction limit reached!
% 6.06/1.72 % (3561354)------------------------------
% 6.06/1.72 % (3561354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561354)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561354)Termination reason: Instruction limit
% 6.06/1.72 % (3561354)Termination phase: Saturation
% 6.06/1.72 % (3561354)Time elapsed: 0.081 s
% 6.06/1.72 % (3561354)Peak memory usage: 89 MB
% 6.06/1.72 % (3561354)Instructions burned: 126 (million)
% 6.06/1.72 % (3561358)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3764307893:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.06/1.72 % (3561356)Instruction limit reached!
% 6.06/1.72 % (3561356)------------------------------
% 6.06/1.72 % (3561356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561356)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561356)Termination reason: Instruction limit
% 6.06/1.72 % (3561356)Termination phase: Saturation
% 6.06/1.72 % (3561356)Time elapsed: 0.129 s
% 6.06/1.72 % (3561356)Peak memory usage: 90 MB
% 6.06/1.72 % (3561356)Instructions burned: 194 (million)
% 6.06/1.72 % (3561358)Instruction limit reached!
% 6.06/1.72 % (3561358)------------------------------
% 6.06/1.72 % (3561358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561358)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561358)Termination reason: Instruction limit
% 6.06/1.72 % (3561358)Termination phase: Saturation
% 6.06/1.72 % (3561358)Time elapsed: 0.058 s
% 6.06/1.72 % (3561358)Peak memory usage: 91 MB
% 6.06/1.72 % (3561358)Instructions burned: 159 (million)
% 6.06/1.72 % (3561359)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4022473209:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.06/1.72 % (3561361)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1372673208:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.06/1.72 % (3561335)First to succeed.
% 6.06/1.72 % (3561335)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3561330"
% 6.06/1.72 % (3561337)Also succeeded, but the first one will report.
% 6.06/1.72 % (3561361)Instruction limit reached!
% 6.06/1.72 % (3561361)------------------------------
% 6.06/1.72 % (3561361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561361)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561361)Termination reason: Instruction limit
% 6.06/1.72 % (3561361)Termination phase: Saturation
% 6.06/1.72 % (3561361)Time elapsed: 0.068 s
% 6.06/1.72 % (3561361)Peak memory usage: 89 MB
% 6.06/1.72 % (3561361)Instructions burned: 107 (million)
% 6.06/1.72 % (3561364)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1322206:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.06/1.72 % (3561363)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4166164802:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.06/1.72 % (3561364)Instruction limit reached!
% 6.06/1.72 % (3561364)------------------------------
% 6.06/1.72 % (3561364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561364)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561364)Termination reason: Instruction limit
% 6.06/1.72 % (3561364)Termination phase: Saturation
% 6.06/1.72 % (3561364)Time elapsed: 0.082 s
% 6.06/1.72 % (3561364)Peak memory usage: 91 MB
% 6.06/1.72 % (3561364)Instructions burned: 244 (million)
% 6.06/1.72 % (3561363)Instruction limit reached!
% 6.06/1.72 % (3561363)------------------------------
% 6.06/1.72 % (3561363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.06/1.72 % (3561363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.72 % (3561363)CaDiCaL version: 2.1.3
% 6.06/1.72 % (3561363)Termination reason: Instruction limit
% 6.06/1.72 % (3561363)Termination phase: Saturation
% 6.06/1.72 % (3561363)Time elapsed: 0.071 s
% 6.06/1.72 % (3561363)Peak memory usage: 89 MB
% 6.06/1.72 % (3561363)Instructions burned: 108 (million)
% 6.06/1.72 % (3561367)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2009812236:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.06/1.72 % (3561335)Refutation found. Thanks to Tanya!
% 6.06/1.72 % SZS status Unsatisfiable for theBenchmark
% 6.06/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 8.09/1.81 % (3561335)------------------------------
% 8.09/1.81 % (3561335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.81 % (3561335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/1.81 % (3561335)CaDiCaL version: 2.1.3
% 8.09/1.81 % (3561335)Termination reason: Refutation
% 8.09/1.81 % (3561335)Time elapsed: 0.669 s
% 8.09/1.81 % (3561335)Peak memory usage: 129 MB
% 8.09/1.81 % (3561335)Instructions burned: 996 (million)
% 8.09/1.81 % (3561335)------------------------------
% 8.09/1.81 % (3561335)------------------------------
% 8.09/1.81 % (3561330)Success in time 1.105 s
% 8.09/1.81 % Vampire exiting
%------------------------------------------------------------------------------