%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO499^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:48:07 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO499^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n015.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:14:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (3825182)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (3825190)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=163793579:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.27 % (3825190) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3825182-3825190"...
% 0.20/0.27 % (3825193)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.27 % (3825193)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.27 % (3825190)...printing done.
% 0.20/0.27 % (3825190)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, a: $o).
% 0.20/0.27 thf(func_def_1, type, b: $o).
% 0.20/0.27 thf(func_def_2, type, c: $o).
% 0.20/0.27 thf(func_def_3, type, f: ($o > $i)).
% 0.20/0.27 thf(func_def_4, type, f1: ($o > $i)).
% 0.20/0.27 thf(func_def_5, type, f2: ($o > $i)).
% 0.20/0.27 thf(func_def_6, type, g: ($o > $i)).
% 0.20/0.27 thf(func_def_7, type, g1: ($o > $i)).
% 0.20/0.27 thf(func_def_8, type, g2: ($o > $i)).
% 0.20/0.27 thf(f1,conjecture,(
% 0.20/0.27 (((f @ b)) != ((g @ a))) | (((f1 @ c)) != ((g1 @ a))) | (((f1 @ a)) = ((g1 @ c))) | (((f2 @ b)) = ((g2 @ c))) | (((f @ a)) = ((g @ b))) | (((f2 @ c)) != ((g2 @ b)))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.27 thf(f2,negated_conjecture,(
% 0.20/0.27 ~((((f @ b)) != ((g @ a))) | (((f1 @ c)) != ((g1 @ a))) | (((f1 @ a)) = ((g1 @ c))) | (((f2 @ b)) = ((g2 @ c))) | (((f @ a)) = ((g @ b))) | (((f2 @ c)) != ((g2 @ b))))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.27 thf(f3,plain,(
% 0.20/0.27 (((f @ b)) = ((g @ a))) & (((f2 @ c)) = ((g2 @ b))) & (((f1 @ a)) != ((g1 @ c))) & (((f1 @ c)) = ((g1 @ a))) & (((f @ a)) != ((g @ b))) & (((f2 @ b)) != ((g2 @ c)))),
% 0.20/0.27 inference(ennf_transformation,[],[f2])).
% 0.20/0.27 thf(f4,plain,(
% 0.20/0.27 (((f2 @ b)) != ((g2 @ c)))),
% 0.20/0.27 inference(cnf_transformation,[],[f3])).
% 0.20/0.27 thf(f5,plain,(
% 0.20/0.27 (((f @ a)) != ((g @ b)))),
% 0.20/0.27 inference(cnf_transformation,[],[f3])).
% 0.20/0.27 thf(f6,plain,(
% 0.20/0.27 (((f1 @ c)) = ((g1 @ a)))),
% 0.20/0.27 inference(cnf_transformation,[],[f3])).
% 0.20/0.27 thf(f7,plain,(
% 0.20/0.27 (((f1 @ a)) != ((g1 @ c)))),
% 0.20/0.27 inference(cnf_transformation,[],[f3])).
% 0.20/0.27 thf(f8,plain,(
% 0.20/0.27 (((f2 @ c)) = ((g2 @ b)))),
% 0.20/0.27 inference(cnf_transformation,[],[f3])).
% 0.20/0.27 thf(f9,plain,(
% 0.20/0.27 (((f @ b)) = ((g @ a)))),
% 0.20/0.27 inference(cnf_transformation,[],[f3])).
% 0.20/0.27 thf(f12,definition,(
% 0.20/0.27 spl0_1 <=> (((f @ a)) = ((g @ b)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.20/0.27 thf(f14,plain,(
% 0.20/0.27 (((f @ a)) != ((g @ b))) | spl0_1),
% 0.20/0.27 inference(avatar_component_clause,[],[f12])).
% 0.20/0.27 thf(f15,plain,(
% 0.20/0.27 ~spl0_1),
% 0.20/0.27 inference(avatar_split_clause,[],[f5,f12])).
% 0.20/0.27 thf(f17,definition,(
% 0.20/0.27 spl0_2 <=> (((f2 @ c)) = ((g2 @ b)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.20/0.27 thf(f19,plain,(
% 0.20/0.27 (((f2 @ c)) = ((g2 @ b))) | ~spl0_2),
% 0.20/0.27 inference(avatar_component_clause,[],[f17])).
% 0.20/0.27 thf(f20,plain,(
% 0.20/0.27 spl0_2),
% 0.20/0.27 inference(avatar_split_clause,[],[f8,f17])).
% 0.20/0.27 thf(f22,definition,(
% 0.20/0.27 spl0_3 <=> (((f1 @ a)) = ((g1 @ c)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.20/0.27 thf(f24,plain,(
% 0.20/0.27 (((f1 @ a)) != ((g1 @ c))) | spl0_3),
% 0.20/0.27 inference(avatar_component_clause,[],[f22])).
% 0.20/0.27 thf(f25,plain,(
% 0.20/0.27 ~spl0_3),
% 0.20/0.27 inference(avatar_split_clause,[],[f7,f22])).
% 0.20/0.27 thf(f27,definition,(
% 0.20/0.27 spl0_4 <=> (((f2 @ b)) = ((g2 @ c)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.20/0.27 thf(f29,plain,(
% 0.20/0.27 (((f2 @ b)) != ((g2 @ c))) | spl0_4),
% 0.20/0.27 inference(avatar_component_clause,[],[f27])).
% 0.20/0.27 thf(f30,plain,(
% 0.20/0.27 ~spl0_4),
% 0.20/0.27 inference(avatar_split_clause,[],[f4,f27])).
% 0.20/0.27 thf(f32,definition,(
% 0.20/0.27 spl0_5 <=> (((f1 @ c)) = ((g1 @ a)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 0.20/0.27 thf(f34,plain,(
% 0.20/0.27 (((f1 @ c)) = ((g1 @ a))) | ~spl0_5),
% 0.20/0.27 inference(avatar_component_clause,[],[f32])).
% 0.20/0.27 thf(f35,plain,(
% 0.20/0.27 spl0_5),
% 0.20/0.27 inference(avatar_split_clause,[],[f6,f32])).
% 0.20/0.27 thf(f37,definition,(
% 0.20/0.27 spl0_6 <=> (((f @ b)) = ((g @ a)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.20/0.27 thf(f39,plain,(
% 0.20/0.27 (((f @ b)) = ((g @ a))) | ~spl0_6),
% 0.20/0.27 inference(avatar_component_clause,[],[f37])).
% 0.20/0.27 thf(f40,plain,(
% 0.20/0.27 spl0_6),
% 0.20/0.27 inference(avatar_split_clause,[],[f9,f37])).
% 0.20/0.27 thf(f42,plain,(
% 0.20/0.27 (((f2 @ c)) = ((g2 @ $true))) | (b = $false) | ~spl0_2),
% 0.20/0.27 inference(fool_paramodulation,[],[f19])).
% 0.20/0.27 thf(f44,definition,(
% 0.20/0.27 spl0_7 <=> (((f2 @ c)) = ((g2 @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.20/0.27 thf(f46,plain,(
% 0.20/0.27 (((f2 @ c)) = ((g2 @ $true))) | ~spl0_7),
% 0.20/0.27 inference(avatar_component_clause,[],[f44])).
% 0.20/0.27 thf(f48,definition,(
% 0.20/0.27 spl0_8 <=> (b = $false)),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 0.20/0.27 thf(f52,plain,(
% 0.20/0.27 spl0_7 | spl0_8 | ~spl0_2),
% 0.20/0.27 inference(avatar_split_clause,[],[f42,f17,f48,f44])).
% 0.20/0.27 thf(f54,plain,(
% 0.20/0.27 (b = $false) | (((f @ a)) != ((g @ $true))) | spl0_1),
% 0.20/0.27 inference(fool_paramodulation,[],[f14])).
% 0.20/0.27 thf(f56,definition,(
% 0.20/0.27 spl0_9 <=> (((f @ a)) = ((g @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
% 0.20/0.27 thf(f58,plain,(
% 0.20/0.27 (((f @ a)) != ((g @ $true))) | spl0_9),
% 0.20/0.27 inference(avatar_component_clause,[],[f56])).
% 0.20/0.27 thf(f59,plain,(
% 0.20/0.27 ~spl0_9 | spl0_8 | spl0_1),
% 0.20/0.27 inference(avatar_split_clause,[],[f54,f12,f48,f56])).
% 0.20/0.27 thf(f61,definition,(
% 0.20/0.27 spl0_10 <=> (a = $false)),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
% 0.20/0.27 thf(f62,plain,(
% 0.20/0.27 (a != $false) | spl0_10),
% 0.20/0.27 inference(avatar_component_clause,[],[f61])).
% 0.20/0.27 thf(f75,plain,(
% 0.20/0.27 (c = $false) | (((g1 @ a)) = ((f1 @ $true))) | ~spl0_5),
% 0.20/0.27 inference(fool_paramodulation,[],[f34])).
% 0.20/0.27 thf(f76,plain,(
% 0.20/0.27 (a = $false) | (((f1 @ c)) = ((g1 @ $true))) | ~spl0_5),
% 0.20/0.27 inference(fool_paramodulation,[],[f34])).
% 0.20/0.27 thf(f77,plain,(
% 0.20/0.27 (((g1 @ a)) = ((g1 @ $true))) | (a = $false) | ~spl0_5),
% 0.20/0.27 inference(forward_demodulation,[],[f76,f34])).
% 0.20/0.27 thf(f79,definition,(
% 0.20/0.27 spl0_13 <=> (((g1 @ a)) = ((f1 @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
% 0.20/0.27 thf(f81,plain,(
% 0.20/0.27 (((g1 @ a)) = ((f1 @ $true))) | ~spl0_13),
% 0.20/0.27 inference(avatar_component_clause,[],[f79])).
% 0.20/0.27 thf(f83,definition,(
% 0.20/0.27 spl0_14 <=> (c = $false)),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
% 0.20/0.27 thf(f86,plain,(
% 0.20/0.27 spl0_13 | spl0_14 | ~spl0_5),
% 0.20/0.27 inference(avatar_split_clause,[],[f75,f32,f83,f79])).
% 0.20/0.27 thf(f88,definition,(
% 0.20/0.27 spl0_15 <=> (((g1 @ a)) = ((g1 @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
% 0.20/0.27 thf(f90,plain,(
% 0.20/0.27 (((g1 @ a)) = ((g1 @ $true))) | ~spl0_15),
% 0.20/0.27 inference(avatar_component_clause,[],[f88])).
% 0.20/0.27 thf(f91,plain,(
% 0.20/0.27 spl0_15 | spl0_10 | ~spl0_5),
% 0.20/0.27 inference(avatar_split_clause,[],[f77,f32,f61,f88])).
% 0.20/0.27 thf(f92,definition,(
% 0.20/0.27 (a != $false) | (b != $false) | (((f @ b)) != ((g @ a))) | (((f @ a)) = ((g @ b)))),
% 0.20/0.27 introduced(theory,[theory_tautology_sat_conflict])).
% 0.20/0.27 thf(f93,plain,(
% 0.20/0.27 (((g @ a)) = ((f @ $true))) | (b = $false) | ~spl0_6),
% 0.20/0.27 inference(fool_paramodulation,[],[f39])).
% 0.20/0.27 thf(f94,plain,(
% 0.20/0.27 (a = $false) | (((f @ b)) = ((g @ $true))) | ~spl0_6),
% 0.20/0.27 inference(fool_paramodulation,[],[f39])).
% 0.20/0.27 thf(f95,plain,(
% 0.20/0.27 (((g @ a)) = ((g @ $true))) | (a = $false) | ~spl0_6),
% 0.20/0.27 inference(forward_demodulation,[],[f94,f39])).
% 0.20/0.27 thf(f97,definition,(
% 0.20/0.27 spl0_16 <=> (((g @ a)) = ((f @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition])).
% 0.20/0.27 thf(f99,plain,(
% 0.20/0.27 (((g @ a)) = ((f @ $true))) | ~spl0_16),
% 0.20/0.27 inference(avatar_component_clause,[],[f97])).
% 0.20/0.27 thf(f100,plain,(
% 0.20/0.27 spl0_8 | spl0_16 | ~spl0_6),
% 0.20/0.27 inference(avatar_split_clause,[],[f93,f37,f97,f48])).
% 0.20/0.27 thf(f102,definition,(
% 0.20/0.27 spl0_17 <=> (((g @ a)) = ((g @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition])).
% 0.20/0.27 thf(f104,plain,(
% 0.20/0.27 (((g @ a)) = ((g @ $true))) | ~spl0_17),
% 0.20/0.27 inference(avatar_component_clause,[],[f102])).
% 0.20/0.27 thf(f105,plain,(
% 0.20/0.27 spl0_10 | spl0_17 | ~spl0_6),
% 0.20/0.27 inference(avatar_split_clause,[],[f95,f37,f102,f61])).
% 0.20/0.27 thf(f115,definition,(
% 0.20/0.27 spl0_19 <=> (((f2 @ c)) = ((f2 @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition])).
% 0.20/0.27 thf(f117,plain,(
% 0.20/0.27 (((f2 @ c)) = ((f2 @ $true))) | ~spl0_19),
% 0.20/0.27 inference(avatar_component_clause,[],[f115])).
% 0.20/0.27 thf(f127,plain,(
% 0.20/0.27 (((f1 @ a)) != ((g1 @ $true))) | (c = $false) | spl0_3),
% 0.20/0.27 inference(fool_paramodulation,[],[f24])).
% 0.20/0.27 thf(f129,definition,(
% 0.20/0.27 spl0_21 <=> (((f1 @ a)) = ((g1 @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition])).
% 0.20/0.27 thf(f131,plain,(
% 0.20/0.27 (((f1 @ a)) != ((g1 @ $true))) | spl0_21),
% 0.20/0.27 inference(avatar_component_clause,[],[f129])).
% 0.20/0.27 thf(f132,plain,(
% 0.20/0.27 spl0_14 | ~spl0_21 | spl0_3),
% 0.20/0.27 inference(avatar_split_clause,[],[f127,f22,f129,f83])).
% 0.20/0.27 thf(f138,plain,(
% 0.20/0.27 (((f2 @ $true)) = ((g2 @ $true))) | (c = $false) | ~spl0_7),
% 0.20/0.27 inference(fool_paramodulation,[],[f46])).
% 0.20/0.27 thf(f139,plain,(
% 0.20/0.27 (c = $false) | (((f2 @ c)) = ((f2 @ $true))) | ~spl0_7),
% 0.20/0.27 inference(forward_demodulation,[],[f138,f46])).
% 0.20/0.27 thf(f140,plain,(
% 0.20/0.27 spl0_19 | spl0_14 | ~spl0_7),
% 0.20/0.27 inference(avatar_split_clause,[],[f139,f44,f83,f115])).
% 0.20/0.27 thf(f150,plain,(
% 0.20/0.27 (c = $false) | (((f2 @ b)) != ((g2 @ $true))) | spl0_4),
% 0.20/0.27 inference(fool_paramodulation,[],[f29])).
% 0.20/0.27 thf(f152,plain,(
% 0.20/0.27 (((f2 @ b)) != ((f2 @ c))) | (c = $false) | (spl0_4 | ~spl0_7)),
% 0.20/0.27 inference(forward_demodulation,[],[f150,f46])).
% 0.20/0.27 thf(f154,definition,(
% 0.20/0.27 spl0_23 <=> (((f2 @ b)) = ((f2 @ c)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition])).
% 0.20/0.27 thf(f156,plain,(
% 0.20/0.27 (((f2 @ b)) != ((f2 @ c))) | spl0_23),
% 0.20/0.27 inference(avatar_component_clause,[],[f154])).
% 0.20/0.27 thf(f158,plain,(
% 0.20/0.27 ~spl0_23 | spl0_14 | spl0_4 | ~spl0_7),
% 0.20/0.27 inference(avatar_split_clause,[],[f152,f44,f27,f83,f154])).
% 0.20/0.27 thf(f169,plain,(
% 0.20/0.27 (((f @ $true)) != ((g @ $true))) | (a = $false) | spl0_9),
% 0.20/0.27 inference(fool_paramodulation,[],[f58])).
% 0.20/0.27 thf(f171,plain,(
% 0.20/0.27 (((f @ $true)) != ((g @ $true))) | (spl0_9 | spl0_10)),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f169,f62])).
% 0.20/0.27 thf(f173,plain,(
% 0.20/0.27 (((g @ a)) != ((g @ $true))) | (spl0_9 | spl0_10 | ~spl0_16)),
% 0.20/0.27 inference(forward_demodulation,[],[f171,f99])).
% 0.20/0.27 thf(f176,plain,(
% 0.20/0.27 $false | (spl0_9 | spl0_10 | ~spl0_16 | ~spl0_17)),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f173,f104])).
% 0.20/0.27 thf(f177,plain,(
% 0.20/0.27 spl0_9 | spl0_10 | ~spl0_16 | ~spl0_17),
% 0.20/0.27 inference(avatar_contradiction_clause,[],[f176])).
% 0.20/0.27 thf(f255,plain,(
% 0.20/0.27 (((f2 @ b)) != ((f2 @ $true))) | (~spl0_19 | spl0_23)),
% 0.20/0.27 inference(forward_demodulation,[],[f156,f117])).
% 0.20/0.27 thf(f257,definition,(
% 0.20/0.27 spl0_33 <=> (((f2 @ b)) = ((f2 @ $true)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition])).
% 0.20/0.27 thf(f259,plain,(
% 0.20/0.27 (((f2 @ b)) != ((f2 @ $true))) | spl0_33),
% 0.20/0.27 inference(avatar_component_clause,[],[f257])).
% 0.20/0.27 thf(f260,plain,(
% 0.20/0.27 ~spl0_33 | ~spl0_19 | spl0_23),
% 0.20/0.27 inference(avatar_split_clause,[],[f255,f154,f115,f257])).
% 0.20/0.27 thf(f266,plain,(
% 0.20/0.27 (((f2 @ $true)) != ((f2 @ $true))) | (b = $false) | spl0_33),
% 0.20/0.27 inference(fool_paramodulation,[],[f259])).
% 0.20/0.27 thf(f267,plain,(
% 0.20/0.27 (b = $false) | spl0_33),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f266])).
% 0.20/0.27 thf(f273,definition,(
% 0.20/0.27 (c != $false) | (a != $false) | (((f1 @ c)) != ((g1 @ a))) | (((f1 @ a)) = ((g1 @ c)))),
% 0.20/0.27 introduced(theory,[theory_tautology_sat_conflict])).
% 0.20/0.27 thf(f276,definition,(
% 0.20/0.27 (b != $false) | (c != $false) | (((f2 @ c)) != ((g2 @ b))) | (((f2 @ b)) = ((g2 @ c)))),
% 0.20/0.27 introduced(theory,[theory_tautology_sat_conflict])).
% 0.20/0.27 thf(f293,plain,(
% 0.20/0.27 spl0_8 | spl0_33),
% 0.20/0.27 inference(avatar_split_clause,[],[f267,f257,f48])).
% 0.20/0.27 thf(f324,plain,(
% 0.20/0.27 (((f1 @ $true)) != ((g1 @ $true))) | (a = $false) | spl0_21),
% 0.20/0.27 inference(fool_paramodulation,[],[f131])).
% 0.20/0.27 thf(f326,plain,(
% 0.20/0.27 (((f1 @ $true)) != ((g1 @ $true))) | (spl0_10 | spl0_21)),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f324,f62])).
% 0.20/0.27 thf(f328,plain,(
% 0.20/0.27 (((g1 @ a)) != ((g1 @ $true))) | (spl0_10 | ~spl0_13 | spl0_21)),
% 0.20/0.27 inference(forward_demodulation,[],[f326,f81])).
% 0.20/0.27 thf(f331,plain,(
% 0.20/0.27 $false | (spl0_10 | ~spl0_13 | ~spl0_15 | spl0_21)),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f328,f90])).
% 0.20/0.27 thf(f332,plain,(
% 0.20/0.27 spl0_10 | ~spl0_13 | ~spl0_15 | spl0_21),
% 0.20/0.27 inference(avatar_contradiction_clause,[],[f331])).
% 0.20/0.27 cnf(s1, plain, ~spl0_1, inference(sat_conversion,[],[f15])).
% 0.20/0.27 cnf(s2, plain, spl0_2, inference(sat_conversion,[],[f20])).
% 0.20/0.27 cnf(s3, plain, ~spl0_3, inference(sat_conversion,[],[f25])).
% 0.20/0.27 cnf(s4, plain, ~spl0_4, inference(sat_conversion,[],[f30])).
% 0.20/0.27 cnf(s5, plain, spl0_5, inference(sat_conversion,[],[f35])).
% 0.20/0.27 cnf(s6, plain, spl0_6, inference(sat_conversion,[],[f40])).
% 0.20/0.27 cnf(s8, plain, ~spl0_2 | spl0_7 | spl0_8, inference(sat_conversion,[],[f52])).
% 0.20/0.27 cnf(s9, plain, spl0_1 | spl0_8 | ~spl0_9, inference(sat_conversion,[],[f59])).
% 0.20/0.27 cnf(s12, plain, ~spl0_5 | spl0_13 | spl0_14, inference(sat_conversion,[],[f86])).
% 0.20/0.27 cnf(s13, plain, ~spl0_5 | spl0_10 | spl0_15, inference(sat_conversion,[],[f91])).
% 0.20/0.27 cnf(s14, plain, spl0_1 | ~spl0_6 | ~spl0_8 | ~spl0_10, inference(sat_conversion,[],[f92])).
% 0.20/0.27 cnf(s15, plain, ~spl0_6 | spl0_8 | spl0_16, inference(sat_conversion,[],[f100])).
% 0.20/0.27 cnf(s16, plain, ~spl0_6 | spl0_10 | spl0_17, inference(sat_conversion,[],[f105])).
% 0.20/0.27 cnf(s21, plain, spl0_3 | spl0_14 | ~spl0_21, inference(sat_conversion,[],[f132])).
% 0.20/0.27 cnf(s23, plain, ~spl0_7 | spl0_14 | spl0_19, inference(sat_conversion,[],[f140])).
% 0.20/0.27 cnf(s27, plain, spl0_4 | ~spl0_7 | spl0_14 | ~spl0_23, inference(sat_conversion,[],[f158])).
% 0.20/0.27 cnf(s30, plain, spl0_9 | spl0_10 | ~spl0_16 | ~spl0_17, inference(sat_conversion,[],[f177])).
% 0.20/0.27 cnf(s52, plain, ~spl0_19 | spl0_23 | ~spl0_33, inference(sat_conversion,[],[f260])).
% 0.20/0.27 cnf(s57, plain, spl0_3 | ~spl0_5 | ~spl0_10 | ~spl0_14, inference(sat_conversion,[],[f273])).
% 0.20/0.27 cnf(s60, plain, ~spl0_2 | spl0_4 | ~spl0_8 | ~spl0_14, inference(sat_conversion,[],[f276])).
% 0.20/0.27 cnf(s72, plain, spl0_8 | spl0_33, inference(sat_conversion,[],[f293])).
% 0.20/0.27 cnf(s84, plain, spl0_10 | ~spl0_13 | ~spl0_15 | spl0_21, inference(sat_conversion,[],[f332])).
% 0.20/0.27 cnf(s85, plain, ~spl0_8, inference(rat,[],[s84,s12,s21,s13,s60,s14,s5,s3,s4,s2,s6,s1])).
% 0.20/0.27 cnf(s86, plain, spl0_33, inference(rat,[],[s72,s85])).
% 0.20/0.27 cnf(s87, plain, spl0_16, inference(rat,[],[s15,s6,s85])).
% 0.20/0.27 cnf(s88, plain, ~spl0_9, inference(rat,[],[s9,s1,s85])).
% 0.20/0.27 cnf(s89, plain, spl0_7, inference(rat,[],[s8,s2,s85])).
% 0.20/0.27 cnf(s90, plain, spl0_10, inference(rat,[],[s30,s16,s87,s88,s6])).
% 0.20/0.27 cnf(s93, plain, ~spl0_14, inference(rat,[],[s57,s3,s5,s90])).
% 0.20/0.27 cnf(s97, plain, ~spl0_23, inference(rat,[],[s27,s89,s4,s93])).
% 0.20/0.27 cnf(s98, plain, spl0_19, inference(rat,[],[s23,s89,s93])).
% 0.20/0.27 cnf(s100, plain, $false, inference(rat,[],[s52,s86,s98,s97])).
% 0.20/0.27 thf(f333,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(avatar_sat_refutation,[],[s100])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (3825190)------------------------------
% 0.20/0.27 % (3825190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3825190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3825190)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3825190)Termination reason: Refutation
% 0.20/0.27 % (3825190)Time elapsed: 0.005 s
% 0.20/0.27 % (3825190)Peak memory usage: 13 MB
% 0.20/0.27 % (3825190)Instructions burned: 13 (million)
% 0.20/0.27 % (3825182)Success in time 0.035 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------