%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:31:48 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 166 ( 19 unt; 15 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 390 ( 204 ~; 171 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 16 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ thursday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_thursday) ).
fof(f5,axiom,
! [X0] :
( ~ friday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_friday) ).
fof(f6,axiom,
! [X0] :
( ~ saturday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_saturday) ).
fof(f7,axiom,
! [X0] :
( ~ sunday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_sunday) ).
fof(f9,axiom,
! [X0] :
( ~ thursday(X0)
| ~ tuesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
fof(f10,axiom,
! [X0] :
( ~ friday(X0)
| ~ tuesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_friday) ).
fof(f11,axiom,
! [X0] :
( ~ saturday(X0)
| ~ tuesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_saturday) ).
fof(f13,axiom,
! [X0] :
( ~ thursday(X0)
| ~ wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_thursday) ).
fof(f14,axiom,
! [X0] :
( ~ friday(X0)
| ~ wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_friday) ).
fof(f15,axiom,
! [X0] :
( ~ saturday(X0)
| ~ wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_saturday) ).
fof(f16,axiom,
! [X0] :
( ~ sunday(X0)
| ~ wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_sunday) ).
fof(f26,axiom,
! [X0] :
( ~ thursday(yesterday(X0))
| friday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_yesterday) ).
fof(f27,axiom,
! [X0] :
( ~ friday(yesterday(X0))
| saturday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_yesterday) ).
fof(f28,axiom,
! [X0] :
( ~ saturday(yesterday(X0))
| sunday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_yesterday) ).
fof(f30,axiom,
! [X0] :
( ~ tuesday(X0)
| monday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yesterday_monday) ).
fof(f33,axiom,
! [X0] :
( ~ friday(X0)
| thursday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yesterday_thursday) ).
fof(f34,axiom,
! [X0] :
( ~ saturday(X0)
| friday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yesterday_friday) ).
fof(f37,axiom,
! [X0] :
( ~ member(X0,lying_days(lion))
| monday(X0)
| tuesday(X0)
| wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lions_lying_days) ).
fof(f38,axiom,
! [X0] :
( ~ member(X0,lying_days(unicorn))
| thursday(X0)
| friday(X0)
| saturday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorns_lying_days) ).
fof(f43,axiom,
! [X0] :
( ~ friday(X0)
| member(X0,lying_days(unicorn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_friday) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ admits(X1,X0,X2)
| member(X0,lying_days(X1))
| member(X2,lying_days(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',admissions1) ).
fof(f49,axiom,
admits(lion,today,yesterday(today)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',admissions5) ).
fof(f50,axiom,
admits(unicorn,today,yesterday(today)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',admissions6) ).
fof(f51,negated_conjecture,
~ thursday(today),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_today_is_thursday) ).
fof(f52,plain,
( member(today,lying_days(lion))
| member(yesterday(today),lying_days(lion)) ),
inference(resolution,[],[f45,f49]) ).
fof(f53,plain,
( member(today,lying_days(unicorn))
| member(yesterday(today),lying_days(unicorn)) ),
inference(resolution,[],[f45,f50]) ).
fof(f55,definition,
( spl0_1
<=> member(yesterday(today),lying_days(unicorn)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f56,plain,
( ~ member(yesterday(today),lying_days(unicorn))
| spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( member(yesterday(today),lying_days(unicorn))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_2
<=> member(today,lying_days(unicorn)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( member(today,lying_days(unicorn))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f53,f59,f55]) ).
fof(f64,definition,
( spl0_3
<=> member(yesterday(today),lying_days(lion)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f66,plain,
( member(yesterday(today),lying_days(lion))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_4
<=> member(today,lying_days(lion)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f70,plain,
( member(today,lying_days(lion))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f52,f68,f64]) ).
fof(f72,plain,
( thursday(today)
| friday(today)
| saturday(today)
| ~ spl0_2 ),
inference(resolution,[],[f61,f38]) ).
fof(f74,plain,
( friday(today)
| saturday(today)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f72,f51]) ).
fof(f76,definition,
( spl0_5
<=> saturday(today) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f77,plain,
( ~ saturday(today)
| spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( saturday(today)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl0_6
<=> friday(today) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f81,plain,
( ~ friday(today)
| spl0_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( friday(today)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,plain,
( thursday(yesterday(today))
| friday(yesterday(today))
| saturday(yesterday(today))
| ~ spl0_1 ),
inference(resolution,[],[f57,f38]) ).
fof(f89,definition,
( spl0_7
<=> saturday(yesterday(today)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f91,plain,
( saturday(yesterday(today))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_8
<=> friday(yesterday(today)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f95,plain,
( friday(yesterday(today))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f97,definition,
( spl0_9
<=> thursday(yesterday(today)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f99,plain,
( thursday(yesterday(today))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_7
| spl0_8
| spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f84,f55,f97,f93,f89]) ).
fof(f101,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f74,f59,f80,f76]) ).
fof(f110,plain,
( ~ monday(today)
| ~ spl0_5 ),
inference(resolution,[],[f78,f6]) ).
fof(f111,plain,
( ~ tuesday(today)
| ~ spl0_5 ),
inference(resolution,[],[f78,f11]) ).
fof(f112,plain,
( ~ wednesday(today)
| ~ spl0_5 ),
inference(resolution,[],[f78,f15]) ).
fof(f115,plain,
( friday(yesterday(today))
| ~ spl0_5 ),
inference(resolution,[],[f78,f34]) ).
fof(f117,plain,
( spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f115,f76,f93]) ).
fof(f123,plain,
( monday(yesterday(today))
| tuesday(yesterday(today))
| wednesday(yesterday(today))
| ~ spl0_3 ),
inference(resolution,[],[f66,f37]) ).
fof(f128,definition,
( spl0_10
<=> wednesday(yesterday(today)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f130,plain,
( wednesday(yesterday(today))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,definition,
( spl0_11
<=> tuesday(yesterday(today)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f136,definition,
( spl0_12
<=> monday(yesterday(today)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f139,plain,
( spl0_10
| spl0_11
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f123,f64,f136,f132,f128]) ).
fof(f140,plain,
( monday(today)
| tuesday(today)
| wednesday(today)
| ~ spl0_4 ),
inference(resolution,[],[f70,f37]) ).
fof(f144,plain,
( tuesday(today)
| wednesday(today)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f140,f110]) ).
fof(f145,plain,
( wednesday(today)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f144,f111]) ).
fof(f146,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f145,f112]) ).
fof(f147,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f149,definition,
( spl0_13
<=> wednesday(today) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f151,plain,
( wednesday(today)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f153,definition,
( spl0_14
<=> tuesday(today) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f155,plain,
( tuesday(today)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,definition,
( spl0_15
<=> monday(today) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f159,plain,
( monday(today)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_13
| spl0_14
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f140,f68,f157,f153,f149]) ).
fof(f162,plain,
( thursday(yesterday(today))
| ~ spl0_6 ),
inference(resolution,[],[f82,f33]) ).
fof(f164,plain,
( ~ wednesday(today)
| ~ spl0_6 ),
inference(resolution,[],[f82,f14]) ).
fof(f165,plain,
( ~ tuesday(today)
| ~ spl0_6 ),
inference(resolution,[],[f82,f10]) ).
fof(f166,plain,
( ~ monday(today)
| ~ spl0_6 ),
inference(resolution,[],[f82,f5]) ).
fof(f167,plain,
( ~ spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f166,f80,f157]) ).
fof(f168,plain,
( ~ spl0_14
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f165,f80,f153]) ).
fof(f169,plain,
( ~ spl0_13
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f164,f80,f149]) ).
fof(f170,plain,
( spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f162,f80,f97]) ).
fof(f203,plain,
( saturday(today)
| ~ spl0_8 ),
inference(resolution,[],[f95,f27]) ).
fof(f204,plain,
( member(yesterday(today),lying_days(unicorn))
| ~ spl0_8 ),
inference(resolution,[],[f95,f43]) ).
fof(f207,plain,
( ~ wednesday(yesterday(today))
| ~ spl0_8 ),
inference(resolution,[],[f95,f14]) ).
fof(f208,plain,
( ~ tuesday(yesterday(today))
| ~ spl0_8 ),
inference(resolution,[],[f95,f10]) ).
fof(f209,plain,
( ~ monday(yesterday(today))
| ~ spl0_8 ),
inference(resolution,[],[f95,f5]) ).
fof(f210,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f209,f93,f136]) ).
fof(f211,plain,
( ~ spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f208,f93,f132]) ).
fof(f215,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f204,f56]) ).
fof(f216,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f217,plain,
( sunday(today)
| ~ spl0_7 ),
inference(resolution,[],[f91,f28]) ).
fof(f218,plain,
( ~ monday(yesterday(today))
| ~ spl0_7 ),
inference(resolution,[],[f91,f6]) ).
fof(f219,plain,
( ~ tuesday(yesterday(today))
| ~ spl0_7 ),
inference(resolution,[],[f91,f11]) ).
fof(f220,plain,
( ~ wednesday(yesterday(today))
| ~ spl0_7 ),
inference(resolution,[],[f91,f15]) ).
fof(f226,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f220,f130]) ).
fof(f227,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f228,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f219,f89,f132]) ).
fof(f229,plain,
( ~ spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f218,f89,f136]) ).
fof(f244,plain,
( monday(yesterday(today))
| ~ spl0_14 ),
inference(resolution,[],[f155,f30]) ).
fof(f246,plain,
( spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f244,f153,f136]) ).
fof(f257,plain,
( friday(today)
| ~ spl0_9 ),
inference(resolution,[],[f99,f26]) ).
fof(f260,plain,
( ~ wednesday(yesterday(today))
| ~ spl0_9 ),
inference(resolution,[],[f99,f13]) ).
fof(f261,plain,
( ~ tuesday(yesterday(today))
| ~ spl0_9 ),
inference(resolution,[],[f99,f9]) ).
fof(f262,plain,
( ~ monday(yesterday(today))
| ~ spl0_9 ),
inference(resolution,[],[f99,f4]) ).
fof(f263,plain,
( ~ spl0_12
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f262,f97,f136]) ).
fof(f264,plain,
( ~ spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f261,f97,f132]) ).
fof(f265,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f260,f130]) ).
fof(f266,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( $false
| spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f257,f81]) ).
fof(f268,plain,
( spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f269,plain,
( $false
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f203,f77]) ).
fof(f270,plain,
( spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f271,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f207,f93,f128]) ).
fof(f273,plain,
( ~ monday(today)
| ~ spl0_7 ),
inference(resolution,[],[f217,f7]) ).
fof(f275,plain,
( ~ wednesday(today)
| ~ spl0_7 ),
inference(resolution,[],[f217,f16]) ).
fof(f280,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f273,f159]) ).
fof(f281,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f282,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f275,f151]) ).
fof(f283,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f282]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f62]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f71]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f100]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( ~ spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f117]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f139]) ).
cnf(s9,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
( ~ spl0_4
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s11,plain,
( ~ spl0_6
| ~ spl0_15 ),
inference(sat_conversion,[],[f167]) ).
cnf(s12,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f168]) ).
cnf(s13,plain,
( ~ spl0_6
| ~ spl0_13 ),
inference(sat_conversion,[],[f169]) ).
cnf(s14,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f170]) ).
cnf(s19,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f210]) ).
cnf(s20,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f211]) ).
cnf(s23,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f216]) ).
cnf(s25,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f227]) ).
cnf(s26,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f228]) ).
cnf(s27,plain,
( ~ spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f229]) ).
cnf(s29,plain,
( spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f246]) ).
cnf(s32,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f263]) ).
cnf(s33,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f264]) ).
cnf(s34,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f266]) ).
cnf(s35,plain,
( spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f268]) ).
cnf(s36,plain,
( spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f270]) ).
cnf(s38,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f271]) ).
cnf(s42,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(sat_conversion,[],[f281]) ).
cnf(s43,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f283]) ).
cnf(s44,plain,
~ spl0_6,
inference(rat,[],[s2,s8,s10,s32,s33,s34,s11,s12,s13,s14]) ).
cnf(s45,plain,
~ spl0_9,
inference(rat,[],[s35,s44]) ).
cnf(s46,plain,
spl0_1,
inference(rat,[],[s5,s6,s1,s23,s44]) ).
cnf(s47,plain,
~ spl0_5,
inference(rat,[],[s8,s19,s20,s38,s2,s6,s9]) ).
cnf(s48,plain,
~ spl0_8,
inference(rat,[],[s36,s47]) ).
cnf(s50,plain,
spl0_7,
inference(rat,[],[s4,s46,s45,s48]) ).
cnf(s51,plain,
~ spl0_13,
inference(rat,[],[s43,s50]) ).
cnf(s52,plain,
~ spl0_15,
inference(rat,[],[s42,s50]) ).
cnf(s53,plain,
~ spl0_12,
inference(rat,[],[s27,s50]) ).
cnf(s54,plain,
~ spl0_11,
inference(rat,[],[s26,s50]) ).
cnf(s55,plain,
~ spl0_10,
inference(rat,[],[s25,s50]) ).
cnf(s56,plain,
~ spl0_14,
inference(rat,[],[s29,s53]) ).
cnf(s57,plain,
~ spl0_3,
inference(rat,[],[s8,s53,s55,s54]) ).
cnf(s58,plain,
~ spl0_4,
inference(rat,[],[s10,s52,s51,s56]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s2,s58,s57]) ).
fof(f284,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:28:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (611665)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (611675)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2123379097:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (611671)% WARNING: option uhcvi not known.
% 0.11/0.45 % (611675) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-611665-611675"...
% 0.11/0.45 % (611675)...printing done.
% 0.11/0.45 % (611675)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (611675)------------------------------
% 0.11/0.46 % (611675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (611675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (611675)CaDiCaL version: 2.1.3
% 0.11/0.46 % (611675)Termination reason: Refutation
% 0.11/0.46 % (611675)Time elapsed: 0.003 s
% 0.11/0.46 % (611675)Peak memory usage: 12 MB
% 0.11/0.46 % (611675)Instructions burned: 6 (million)
% 0.11/0.46 % (611665)Success in time 0.028 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------