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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU614^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 08:32:41 AM UTC 2026

% Result   : Theorem 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU614^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n017.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 13:53:37 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.26  % (376310)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (376316)% WARNING: option uhcvi not known.
% 0.08/0.26  % (376316)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3727966919:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26  % (376316)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.26  % (376316)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.26  % (376316) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-376310-376316"...
% 0.08/0.26  % (376316)...printing done.
% 0.08/0.26  % (376316)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Theorem for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% 0.08/0.26  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.26  thf(func_def_0, type, in: ($i > $i > $o)).
% 0.08/0.26  thf(func_def_1, type, symdiff: ($i > $i > $i)).
% 0.08/0.26  thf(func_def_2, type, symdiffE: $o).
% 0.08/0.26  thf(func_def_4, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.08/0.26  thf(func_def_5, type, vIMP: ($o > $o > $o)).
% 0.08/0.26  thf(func_def_6, type, db2: !>[X0: $tType]:(X0)).
% 0.08/0.26  thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.08/0.26  thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 0.08/0.26  thf(func_def_9, type, db3: !>[X0: $tType]:(X0)).
% 0.08/0.26  thf(func_def_10, type, vNOT: ($o > $o)).
% 0.08/0.26  thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.08/0.26  thf(f1,axiom,(
% 0.08/0.26    (symdiffE = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (symdiff @ X0 @ X1)) => ! [X3 : $o] : (((in @ X2 @ X0) => (~(in @ X2 @ X1) => X3)) => ((~(in @ X2 @ X0) => ((in @ X2 @ X1) => X3)) => X3))))),
% 0.08/0.26    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symdiffE)).
% 0.08/0.26  thf(f2,conjecture,(
% 0.08/0.26    symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X0) => ((in @ X2 @ X1) => ~(in @ X2 @ (symdiff @ X0 @ X1))))),
% 0.08/0.26    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symdiffIneg1)).
% 0.08/0.26  thf(f3,negated_conjecture,(
% 0.08/0.26    ~(symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X0) => ((in @ X2 @ X1) => ~(in @ X2 @ (symdiff @ X0 @ X1)))))),
% 0.08/0.26    inference(negated_conjecture,[status(cth)],[f2])).
% 0.08/0.26  thf(f4,plain,(
% 0.08/0.26    (symdiffE = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (symdiff @ X0 @ X1)) => ! [X3 : $o] : (((in @ X2 @ X0) => (~(in @ X2 @ X1) => X3)) => ((~(in @ X2 @ X0) => ((in @ X2 @ X1) => X3)) => X3))))),
% 0.08/0.26    inference(rectify,[],[f1])).
% 0.08/0.26  thf(f5,plain,(
% 0.08/0.26    (symdiffE = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (symdiff @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((in @ Y0 @ Y2) => ((~ (in @ Y0 @ Y1)) => Y3)) => (((~ (in @ Y0 @ Y2)) => ((in @ Y0 @ Y1) => Y3)) => Y3)))))))))))))),
% 0.08/0.26    inference(fool_elimination,[],[f4])).
% 0.08/0.26  thf(f6,plain,(
% 0.08/0.26    ~(symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X0) => ((in @ X2 @ X1) => ~(in @ X2 @ (symdiff @ X0 @ X1)))))),
% 0.08/0.26    inference(rectify,[],[f3])).
% 0.08/0.26  thf(f7,plain,(
% 0.08/0.26    ~((symdiffE = $true) => ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ X0)) = $true) => ((((in @ X2 @ X1)) = $true) => ~ (((in @ X2 @ (symdiff @ X0 @ X1))) = $true))))),
% 0.08/0.26    inference(fool_elimination,[],[f6])).
% 0.08/0.26  thf(f8,plain,(
% 0.08/0.26    ~((symdiffE = $true) => ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ X0)) = $true) => ((((in @ X2 @ X1)) = $true) => (((in @ X2 @ (symdiff @ X0 @ X1))) != $true))))),
% 0.08/0.26    inference(flattening,[],[f7])).
% 0.08/0.26  thf(f9,plain,(
% 0.08/0.26    ? [X0 : $i,X1 : $i,X2 : $i] : (((((in @ X2 @ (symdiff @ X0 @ X1))) = $true) & (((in @ X2 @ X1)) = $true)) & (((in @ X2 @ X0)) = $true)) & (symdiffE = $true)),
% 0.08/0.26    inference(ennf_transformation,[],[f8])).
% 0.08/0.26  thf(f10,plain,(
% 0.08/0.26    ? [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ (symdiff @ X0 @ X1))) = $true) & (((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) = $true)) & (symdiffE = $true)),
% 0.08/0.26    inference(flattening,[],[f9])).
% 0.08/0.26  thf(f11,plain,(
% 0.08/0.26    (($true = ((in @ sK2 @ (symdiff @ sK0 @ sK1)))) & ($true = ((in @ sK2 @ sK1))) & ($true = ((in @ sK2 @ sK0)))) & (symdiffE = $true)),
% 0.08/0.26    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f10])).
% 0.08/0.26  thf(f12,plain,(
% 0.08/0.26    (symdiffE = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (symdiff @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((in @ Y0 @ Y2) => ((~ (in @ Y0 @ Y1)) => Y3)) => (((~ (in @ Y0 @ Y2)) => ((in @ Y0 @ Y1) => Y3)) => Y3)))))))))))))),
% 0.08/0.26    inference(cnf_transformation,[],[f5])).
% 0.08/0.26  thf(f13,plain,(
% 0.08/0.26    (symdiffE = $true)),
% 0.08/0.26    inference(cnf_transformation,[],[f11])).
% 0.08/0.26  thf(f14,plain,(
% 0.08/0.26    ($true = ((in @ sK2 @ sK0)))),
% 0.08/0.26    inference(cnf_transformation,[],[f11])).
% 0.08/0.26  thf(f15,plain,(
% 0.08/0.26    ($true = ((in @ sK2 @ sK1)))),
% 0.08/0.26    inference(cnf_transformation,[],[f11])).
% 0.08/0.26  thf(f16,plain,(
% 0.08/0.26    ($true = ((in @ sK2 @ (symdiff @ sK0 @ sK1))))),
% 0.08/0.26    inference(cnf_transformation,[],[f11])).
% 0.08/0.26  thf(f17,definition,(
% 0.08/0.26    ($true != $false)),
% 0.08/0.26    introduced(theory,[fool_distinctness_axiom])).
% 0.08/0.26  thf(f19,plain,(
% 0.08/0.26    (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (symdiff @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((in @ Y0 @ Y2) => ((~ (in @ Y0 @ Y1)) => Y3)) => (((~ (in @ Y0 @ Y2)) => ((in @ Y0 @ Y1) => Y3)) => Y3)))))))))))) = $true)),
% 0.08/0.26    inference(definition_unfolding,[],[f12,f13])).
% 0.08/0.26  thf(f20,plain,(
% 0.08/0.26    ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (symdiff @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((in @ Y0 @ Y2) => ((~ (in @ Y0 @ Y1)) => Y3)) => (((~ (in @ Y0 @ Y2)) => ((in @ Y0 @ Y1) => Y3)) => Y3)))))))))) @ X1)))) )),
% 0.08/0.26    inference(pi_proxy_clausification,[],[f19])).
% 0.08/0.26  thf(f21,plain,(
% 0.08/0.26    ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (symdiff @ Y1 @ Y0)) => (!! @ $o @ (^[Y2 : $o]: (((in @ X1 @ Y1) => ((~ (in @ X1 @ Y0)) => Y2)) => (((~ (in @ X1 @ Y1)) => ((in @ X1 @ Y0) => Y2)) => Y2)))))))))))) )),
% 0.08/0.26    inference(beta-eta_normalization,[],[f20])).
% 0.08/0.26  thf(f22,plain,(
% 0.08/0.26    ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (symdiff @ Y1 @ Y0)) => (!! @ $o @ (^[Y2 : $o]: (((in @ X1 @ Y1) => ((~ (in @ X1 @ Y0)) => Y2)) => (((~ (in @ X1 @ Y1)) => ((in @ X1 @ Y0) => Y2)) => Y2)))))))) @ X2)))) )),
% 0.08/0.26    inference(pi_proxy_clausification,[],[f21])).
% 0.08/0.26  thf(f23,plain,(
% 0.08/0.26    ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (symdiff @ Y0 @ X2)) => (!! @ $o @ (^[Y1 : $o]: (((in @ X1 @ Y0) => ((~ (in @ X1 @ X2)) => Y1)) => (((~ (in @ X1 @ Y0)) => ((in @ X1 @ X2) => Y1)) => Y1)))))))))) )),
% 0.08/0.26    inference(beta-eta_normalization,[],[f22])).
% 0.08/0.26  thf(f24,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ X1 @ (symdiff @ Y0 @ X2)) => (!! @ $o @ (^[Y1 : $o]: (((in @ X1 @ Y0) => ((~ (in @ X1 @ X2)) => Y1)) => (((~ (in @ X1 @ Y0)) => ((in @ X1 @ X2) => Y1)) => Y1)))))) @ X3)))) )),
% 0.08/0.26    inference(pi_proxy_clausification,[],[f23])).
% 0.08/0.26  thf(f25,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((in @ X1 @ (symdiff @ X3 @ X2)) => (!! @ $o @ (^[Y0 : $o]: (((in @ X1 @ X3) => ((~ (in @ X1 @ X2)) => Y0)) => (((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => Y0)) => Y0)))))))) )),
% 0.08/0.26    inference(beta-eta_normalization,[],[f24])).
% 0.08/0.26  thf(f26,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($true = ((!! @ $o @ (^[Y0 : $o]: (((in @ X1 @ X3) => ((~ (in @ X1 @ X2)) => Y0)) => (((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => Y0)) => Y0))))))) )),
% 0.08/0.26    inference(imp_proxy_clausification,[],[f25])).
% 0.08/0.26  thf(f27,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($true = (((^[Y0 : $o]: (((in @ X1 @ X3) => ((~ (in @ X1 @ X2)) => Y0)) => (((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => Y0)) => Y0))) @ X4)))) )),
% 0.08/0.26    inference(pi_proxy_clausification,[],[f26])).
% 0.08/0.26  thf(f28,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($true = ((((in @ X1 @ X3) => ((~ (in @ X1 @ X2)) => X4)) => (((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => X4)) => X4))))) )),
% 0.08/0.26    inference(beta-eta_normalization,[],[f27])).
% 0.08/0.26  thf(f29,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = (((in @ X1 @ X3) => ((~ (in @ X1 @ X2)) => X4)))) | ($true = ((((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => X4)) => X4)))) )),
% 0.08/0.26    inference(imp_proxy_clausification,[],[f28])).
% 0.08/0.26  thf(f30,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = (((~ (in @ X1 @ X2)) => X4))) | ($true = ((((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => X4)) => X4)))) )),
% 0.08/0.26    inference(imp_proxy_clausification,[],[f29])).
% 0.08/0.26  thf(f39,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($true = ((~ (in @ X1 @ X2)))) | ($true = ((((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => X4)) => X4)))) )),
% 0.08/0.26    inference(imp_proxy_clausification,[],[f30])).
% 0.08/0.26  thf(f40,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = ((in @ X1 @ X2))) | ($true = ((((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => X4)) => X4)))) )),
% 0.08/0.26    inference(not_proxy_clausification,[],[f39])).
% 0.08/0.26  thf(f41,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = ((in @ X1 @ X2))) | ($false = (((~ (in @ X1 @ X3)) => ((in @ X1 @ X2) => X4)))) | ($true = X4)) )),
% 0.08/0.26    inference(imp_proxy_clausification,[],[f40])).
% 0.08/0.26  thf(f43,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = ((in @ X1 @ X2))) | ($true = ((~ (in @ X1 @ X3)))) | ($true = X4)) )),
% 0.08/0.26    inference(imp_proxy_clausification,[],[f41])).
% 0.08/0.26  thf(f44,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = ((in @ X1 @ X2))) | ($false = ((in @ X1 @ X3))) | ($true = X4)) )),
% 0.08/0.26    inference(not_proxy_clausification,[],[f43])).
% 0.08/0.26  thf(f55,definition,(
% 0.08/0.26    spl3_1 <=> ! [X4 : $o] : ($true = X4)),
% 0.08/0.26    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 0.08/0.26  thf(f56,plain,(
% 0.08/0.26    ( ! [X4 : $o] : (($true = X4)) ) | ~spl3_1),
% 0.08/0.26    inference(avatar_component_clause,[],[f55])).
% 0.08/0.26  thf(f73,definition,(
% 0.08/0.26    spl3_6 <=> ! [X2 : $i,X1 : $i,X3 : $i] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = ((in @ X1 @ X3))) | ($false = ((in @ X1 @ X2))))),
% 0.08/0.26    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition])).
% 0.08/0.26  thf(f74,plain,(
% 0.08/0.26    ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((in @ X1 @ (symdiff @ X3 @ X2)))) | ($false = ((in @ X1 @ X3))) | ($false = ((in @ X1 @ X2)))) ) | ~spl3_6),
% 0.08/0.26    inference(avatar_component_clause,[],[f73])).
% 0.08/0.26  thf(f75,plain,(
% 0.08/0.26    spl3_1 | spl3_6),
% 0.08/0.26    inference(avatar_split_clause,[],[f44,f73,f55])).
% 0.08/0.26  thf(f120,plain,(
% 0.08/0.26    ($true = $false) | (((in @ sK2 @ sK0)) = $false) | (((in @ sK2 @ sK1)) = $false) | ~spl3_6),
% 0.08/0.26    inference(constrained_superposition,[],[f16,f74])).
% 0.08/0.26  thf(f121,plain,(
% 0.08/0.26    (((in @ sK2 @ sK0)) = $false) | (((in @ sK2 @ sK1)) = $false) | ~spl3_6),
% 0.08/0.26    inference(trivial_inequality_removal,[],[f120])).
% 0.08/0.26  thf(f124,plain,(
% 0.08/0.26    ($true = $false) | (((in @ sK2 @ sK1)) = $false) | ~spl3_6),
% 0.08/0.26    inference(forward_demodulation,[],[f121,f14])).
% 0.08/0.26  thf(f125,plain,(
% 0.08/0.26    (((in @ sK2 @ sK1)) = $false) | ~spl3_6),
% 0.08/0.26    inference(trivial_inequality_removal,[],[f124])).
% 0.08/0.26  thf(f129,plain,(
% 0.08/0.26    ($true = $false) | ~spl3_6),
% 0.08/0.26    inference(constrained_superposition,[],[f125,f15])).
% 0.08/0.26  thf(f133,plain,(
% 0.08/0.26    $false | ~spl3_6),
% 0.08/0.26    inference(trivial_inequality_removal,[],[f129])).
% 0.08/0.26  thf(f134,plain,(
% 0.08/0.26    ~spl3_6),
% 0.08/0.26    inference(avatar_contradiction_clause,[],[f133])).
% 0.08/0.26  thf(f153,plain,(
% 0.08/0.26    $false | ~spl3_1),
% 0.08/0.26    inference(forward_subsumption_resolution,[],[f17,f56])).
% 0.08/0.26  thf(f154,plain,(
% 0.08/0.26    ~spl3_1),
% 0.08/0.26    inference(avatar_contradiction_clause,[],[f153])).
% 0.08/0.26  cnf(s4, plain, spl3_1 | spl3_6, inference(sat_conversion,[],[f75])).
% 0.08/0.26  cnf(s13, plain, ~spl3_6, inference(sat_conversion,[],[f134])).
% 0.08/0.26  cnf(s16, plain, ~spl3_1, inference(sat_conversion,[],[f154])).
% 0.08/0.26  cnf(s18, plain, $false, inference(rat,[],[s4,s13,s16])).
% 0.08/0.26  thf(f155,plain,(
% 0.08/0.26    $false),
% 0.08/0.26    inference(avatar_sat_refutation,[],[s18])).
% 0.08/0.26  % SZS output end Proof for theBenchmark
% 0.08/0.26  % (376316)------------------------------
% 0.08/0.26  % (376316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26  % (376316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26  % (376316)CaDiCaL version: 2.1.3
% 0.08/0.26  % (376316)Termination reason: Refutation
% 0.08/0.26  % (376316)Time elapsed: 0.004 s
% 0.08/0.26  % (376316)Peak memory usage: 13 MB
% 0.08/0.26  % (376316)Instructions burned: 9 (million)
% 0.08/0.26  % (376310)Success in time 0.037 s
% 0.08/0.26  % Vampire exiting
%------------------------------------------------------------------------------