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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR126^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 : Wed Sep 30 07:47:15 AM UTC 2026

% Result   : Theorem 0.09s 0.18s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR126^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Tue Sep 29 17:54:49 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12  Running first-order model finding
% 0.09/0.12  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
% 0.09/0.18  % (459260)Will run a generic schedule for satisfiability detection.
% 0.09/0.18  % (459275)% WARNING: option uhcvi not known.
% 0.09/0.18  % (459274)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=284203484_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.18  % (459275)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=692177532:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.18  % (459277)dis+10_1_sil=32000:sp=arity:random_seed=1299707396:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.18  % (459278)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=544489522:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.18  % (459276)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2008527935:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.18  % (459275)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.18  % (459280)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1563176996:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.18  % (459278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.18  % (459275)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.18  % Exception at run slice level
% 0.09/0.18  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.18  % (459279)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1343163376:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.18  % (459278) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459260-459278"...
% 0.09/0.18  % (459279) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459260-459279"...
% 0.09/0.18  % (459280) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459260-459280"...
% 0.09/0.18  % (459275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459260-459275"...
% 0.09/0.18  % (459277) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459260-459277"...
% 0.09/0.18  % (459278)...printing done.
% 0.09/0.18  % (459276) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459260-459276"...
% 0.09/0.18  % (459275)...printing done.
% 0.09/0.18  % (459279)...printing done.
% 0.09/0.18  % (459280)...printing done.
% 0.09/0.18  % (459277)...printing done.
% 0.09/0.18  % (459278)Refutation found. Thanks to Tanya!
% 0.09/0.18  % SZS status Theorem for theBenchmark
% 0.09/0.18  % SZS output start Proof for theBenchmark
% 0.09/0.18  thf(type_def_5, type, num: $tType).
% 0.09/0.18  thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.18  thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.09/0.18  thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.09/0.18  thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.09/0.18  thf(func_def_10, type, vIMP: ($o > $o > $o)).
% 0.09/0.18  thf(func_def_12, type, vNOT: ($o > $o)).
% 0.09/0.18  thf(f1,axiom,(
% 0.09/0.18    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.09/0.18  thf(f2,axiom,(
% 0.09/0.18    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.09/0.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.09/0.18  thf(f3,conjecture,(
% 0.09/0.18    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.09/0.18  thf(f4,negated_conjecture,(
% 0.09/0.18    ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.18    inference(negated_conjecture,[status(cth)],[f3])).
% 0.09/0.18  thf(f5,plain,(
% 0.09/0.18    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.18    inference(rectify,[],[f1])).
% 0.09/0.18  thf(f6,plain,(
% 0.09/0.18    ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.09/0.18    inference(fool_elimination,[],[f5])).
% 0.09/0.18  thf(f7,plain,(
% 0.09/0.18    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.09/0.18    inference(rectify,[],[f2])).
% 0.09/0.18  thf(f8,plain,(
% 0.09/0.18    ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))),
% 0.09/0.18    inference(fool_elimination,[],[f7])).
% 0.09/0.18  thf(f9,plain,(
% 0.09/0.18    ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.09/0.18    inference(rectify,[],[f4])).
% 0.09/0.18  thf(f10,plain,(
% 0.09/0.18    ~ (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.09/0.18    inference(fool_elimination,[],[f9])).
% 0.09/0.18  thf(f11,plain,(
% 0.09/0.18    (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.09/0.18    inference(flattening,[],[f10])).
% 0.09/0.18  thf(f12,plain,(
% 0.09/0.18    ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)) )),
% 0.09/0.18    inference(cnf_transformation,[],[f6])).
% 0.09/0.18  thf(f13,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) )),
% 0.09/0.18    inference(cnf_transformation,[],[f8])).
% 0.09/0.18  thf(f14,plain,(
% 0.09/0.18    (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.09/0.18    inference(cnf_transformation,[],[f11])).
% 0.09/0.18  thf(f16,definition,(
% 0.09/0.18    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.09/0.18    introduced(theory,[fool_exhaustiveness_axiom])).
% 0.09/0.18  thf(f19,plain,(
% 0.09/0.18    ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.18    inference(constrained_superposition,[],[f14,f16])).
% 0.09/0.18  thf(f20,plain,(
% 0.09/0.18    ($true != $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $false)),
% 0.09/0.18    inference(constrained_superposition,[],[f14,f16])).
% 0.09/0.18  thf(f22,plain,(
% 0.09/0.18    (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $false)),
% 0.09/0.18    inference(trivial_inequality_removal,[],[f20])).
% 0.09/0.18  thf(f28,definition,(
% 0.09/0.18    spl0_1 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.18    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.09/0.18  thf(f30,plain,(
% 0.09/0.18    (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_1),
% 0.09/0.18    inference(avatar_component_clause,[],[f28])).
% 0.09/0.18  thf(f32,definition,(
% 0.09/0.18    spl0_2 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.09/0.18    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.09/0.18  thf(f34,plain,(
% 0.09/0.18    ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl0_2),
% 0.09/0.18    inference(avatar_component_clause,[],[f32])).
% 0.09/0.18  thf(f35,plain,(
% 0.09/0.18    spl0_1 | ~spl0_2),
% 0.09/0.18    inference(avatar_split_clause,[],[f19,f32,f28])).
% 0.09/0.18  thf(f38,definition,(
% 0.09/0.18    spl0_3 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.09/0.18    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.09/0.18  thf(f39,plain,(
% 0.09/0.18    (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) != $false) | spl0_3),
% 0.09/0.18    inference(avatar_component_clause,[],[f38])).
% 0.09/0.18  thf(f40,plain,(
% 0.09/0.18    (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_3),
% 0.09/0.18    inference(avatar_component_clause,[],[f38])).
% 0.09/0.18  thf(f53,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) = $false)) )),
% 0.09/0.18    inference(constrained_superposition,[],[f13,f16])).
% 0.09/0.18  thf(f54,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) = $false)) )),
% 0.09/0.18    inference(imp_proxy_clausification,[],[f53])).
% 0.09/0.18  thf(f55,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $true)) )),
% 0.09/0.18    inference(imp_proxy_clausification,[],[f53])).
% 0.09/0.18  thf(f58,plain,(
% 0.09/0.18    ( ! [X0 : $i] : ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $true)) ) | spl0_2),
% 0.09/0.18    inference(forward_subsumption_resolution,[],[f55,f34])).
% 0.09/0.18  thf(f59,plain,(
% 0.09/0.18    ( ! [X0 : $i] : ((((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) = $false)) ) | spl0_2),
% 0.09/0.18    inference(forward_subsumption_resolution,[],[f54,f34])).
% 0.09/0.18  thf(f62,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) ) | spl0_2),
% 0.09/0.18    inference(constrained_superposition,[],[f13,f58])).
% 0.09/0.18  thf(f63,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))) ) | spl0_2),
% 0.09/0.18    inference(boolean_simplification,[],[f62])).
% 0.09/0.18  thf(f64,plain,(
% 0.09/0.18    ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl0_2),
% 0.09/0.18    inference(forward_demodulation,[],[f63,f59])).
% 0.09/0.18  thf(f72,plain,(
% 0.09/0.18    ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl0_2),
% 0.09/0.18    inference(constrained_superposition,[],[f14,f59])).
% 0.09/0.18  thf(f78,plain,(
% 0.09/0.18    $false | spl0_2),
% 0.09/0.18    inference(forward_subsumption_resolution,[],[f72,f64])).
% 0.09/0.18  thf(f79,plain,(
% 0.09/0.18    spl0_2),
% 0.09/0.18    inference(avatar_contradiction_clause,[],[f78])).
% 0.09/0.18  thf(f81,plain,(
% 0.09/0.18    ($false = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_1),
% 0.09/0.18    inference(constrained_superposition,[],[f22,f30])).
% 0.09/0.18  thf(f82,plain,(
% 0.09/0.18    ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_1),
% 0.09/0.18    inference(constrained_superposition,[],[f14,f30])).
% 0.09/0.18  thf(f83,plain,(
% 0.09/0.18    ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) => $false)))) | ~spl0_1),
% 0.09/0.18    inference(constrained_superposition,[],[f13,f30])).
% 0.09/0.18  thf(f84,plain,(
% 0.09/0.18    ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl0_1),
% 0.09/0.18    inference(boolean_simplification,[],[f83])).
% 0.09/0.18  thf(f91,plain,(
% 0.09/0.18    ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $false)))) ) | ~spl0_3),
% 0.09/0.18    inference(constrained_superposition,[],[f12,f40])).
% 0.09/0.18  thf(f104,plain,(
% 0.09/0.18    ($true = $false) | (~spl0_1 | ~spl0_3)),
% 0.09/0.18    inference(constrained_superposition,[],[f81,f91])).
% 0.09/0.18  thf(f105,plain,(
% 0.09/0.18    $false | (~spl0_1 | ~spl0_3)),
% 0.09/0.18    inference(trivial_inequality_removal,[],[f104])).
% 0.09/0.18  thf(f106,plain,(
% 0.09/0.18    ~spl0_1 | ~spl0_3),
% 0.09/0.18    inference(avatar_contradiction_clause,[],[f105])).
% 0.09/0.18  thf(f112,plain,(
% 0.09/0.18    ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_1),
% 0.09/0.18    inference(constrained_superposition,[],[f84,f16])).
% 0.09/0.18  thf(f115,plain,(
% 0.09/0.18    ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_1),
% 0.09/0.18    inference(boolean_simplification,[],[f112])).
% 0.09/0.18  thf(f116,plain,(
% 0.09/0.18    (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_1),
% 0.09/0.18    inference(forward_subsumption_resolution,[],[f115,f82])).
% 0.09/0.18  thf(f117,plain,(
% 0.09/0.18    $false | (~spl0_1 | spl0_3)),
% 0.09/0.18    inference(forward_subsumption_resolution,[],[f116,f39])).
% 0.09/0.18  thf(f118,plain,(
% 0.09/0.18    ~spl0_1 | spl0_3),
% 0.09/0.18    inference(avatar_contradiction_clause,[],[f117])).
% 0.09/0.18  cnf(s1, plain, spl0_1 | ~spl0_2, inference(sat_conversion,[],[f35])).
% 0.09/0.18  cnf(s4, plain, spl0_2, inference(sat_conversion,[],[f79])).
% 0.09/0.18  cnf(s5, plain, ~spl0_1 | ~spl0_3, inference(sat_conversion,[],[f106])).
% 0.09/0.18  cnf(s8, plain, ~spl0_1 | spl0_3, inference(sat_conversion,[],[f118])).
% 0.09/0.18  cnf(s9, plain, spl0_1, inference(rat,[],[s1,s4])).
% 0.09/0.18  cnf(s10, plain, spl0_3, inference(rat,[],[s8,s9])).
% 0.09/0.18  cnf(s11, plain, $false, inference(rat,[],[s5,s10,s9])).
% 0.09/0.18  thf(f119,plain,(
% 0.09/0.18    $false),
% 0.09/0.18    inference(avatar_sat_refutation,[],[s11])).
% 0.09/0.18  % SZS output end Proof for theBenchmark
% 0.09/0.18  % (459278)------------------------------
% 0.09/0.18  % (459278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.18  % (459278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.18  % (459278)CaDiCaL version: 2.1.3
% 0.09/0.18  % (459278)Termination reason: Refutation
% 0.09/0.18  % (459278)Time elapsed: 0.003 s
% 0.09/0.18  % (459278)Peak memory usage: 12 MB
% 0.09/0.18  % (459278)Instructions burned: 8 (million)
% 0.09/0.18  % (459260)Success in time 0.034 s
% 0.09/0.18  % Vampire exiting
%------------------------------------------------------------------------------