TSTP Solution File: SET651^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET651^3 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:12:40 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET651^3 : TPTP v8.2.0. Released v3.6.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 12:42:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
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% 0.20/0.49 % (20410)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.49 % (20409)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2998ds/27Mi)
% 0.20/0.49 % (20407)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.20/0.49 % (20408)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.20/0.49 % (20410)Instruction limit reached!
% 0.20/0.49 % (20410)------------------------------
% 0.20/0.49 % (20410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (20410)Termination reason: Unknown
% 0.20/0.49 % (20410)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (20410)Memory used [KB]: 1023
% 0.20/0.49 % (20410)Time elapsed: 0.003 s
% 0.20/0.49 % (20410)Instructions burned: 2 (million)
% 0.20/0.49 % (20410)------------------------------
% 0.20/0.49 % (20410)------------------------------
% 0.20/0.49 % (20412)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
% 0.20/0.49 % (20411)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.49 % (20411)Instruction limit reached!
% 0.20/0.49 % (20411)------------------------------
% 0.20/0.49 % (20411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (20411)Termination reason: Unknown
% 0.20/0.49 % (20411)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (20411)Memory used [KB]: 1023
% 0.20/0.49 % (20411)Time elapsed: 0.002 s
% 0.20/0.49 % (20411)Instructions burned: 2 (million)
% 0.20/0.49 % (20411)------------------------------
% 0.20/0.49 % (20411)------------------------------
% 0.20/0.49 % (20414)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.49 % (20413)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.20/0.49 % (20408)Instruction limit reached!
% 0.20/0.49 % (20408)------------------------------
% 0.20/0.49 % (20408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (20408)Termination reason: Unknown
% 0.20/0.49 % (20408)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (20408)Memory used [KB]: 1023
% 0.20/0.49 % (20408)Time elapsed: 0.004 s
% 0.20/0.49 % (20408)Instructions burned: 6 (million)
% 0.20/0.49 % (20408)------------------------------
% 0.20/0.49 % (20408)------------------------------
% 0.20/0.49 % (20414)Instruction limit reached!
% 0.20/0.49 % (20414)------------------------------
% 0.20/0.49 % (20414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (20414)Termination reason: Unknown
% 0.20/0.49 % (20414)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (20414)Memory used [KB]: 1023
% 0.20/0.49 % (20414)Time elapsed: 0.003 s
% 0.20/0.49 % (20414)Instructions burned: 3 (million)
% 0.20/0.49 % (20414)------------------------------
% 0.20/0.49 % (20414)------------------------------
% 0.20/0.49 % (20409)First to succeed.
% 0.20/0.50 % (20407)Also succeeded, but the first one will report.
% 0.20/0.50 % (20409)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% 0.20/0.50 thf(func_def_0, type, in: $i > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_2, type, is_a: $i > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_3, type, emptyset: $i > $o).
% 0.20/0.50 thf(func_def_4, type, unord_pair: $i > $i > $i > $o).
% 0.20/0.50 thf(func_def_5, type, singleton: $i > $i > $o).
% 0.20/0.50 thf(func_def_6, type, union: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_7, type, excl_union: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_8, type, intersection: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_9, type, setminus: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_10, type, complement: ($i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_11, type, disjoint: ($i > $o) > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_12, type, subset: ($i > $o) > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_13, type, meets: ($i > $o) > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_14, type, misses: ($i > $o) > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_15, type, cartesian_product: ($i > $o) > ($i > $o) > $i > $i > $o).
% 0.20/0.50 thf(func_def_16, type, pair_rel: $i > $i > $i > $i > $o).
% 0.20/0.50 thf(func_def_17, type, id_rel: ($i > $o) > $i > $i > $o).
% 0.20/0.50 thf(func_def_18, type, sub_rel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_19, type, is_rel_on: ($i > $i > $o) > ($i > $o) > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_20, type, restrict_rel_domain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
% 0.20/0.50 thf(func_def_21, type, rel_diagonal: $i > $i > $o).
% 0.20/0.50 thf(func_def_22, type, rel_composition: ($i > $i > $o) > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.50 thf(func_def_23, type, reflexive: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_24, type, irreflexive: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_25, type, symmetric: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_26, type, transitive: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_27, type, equiv_rel: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_28, type, rel_codomain: ($i > $i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_29, type, rel_domain: ($i > $i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_30, type, rel_inverse: ($i > $i > $o) > $i > $i > $o).
% 0.20/0.50 thf(func_def_31, type, equiv_classes: ($i > $i > $o) > ($i > $o) > $o).
% 0.20/0.50 thf(func_def_32, type, restrict_rel_codomain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
% 0.20/0.50 thf(func_def_33, type, rel_field: ($i > $i > $o) > $i > $o).
% 0.20/0.50 thf(func_def_34, type, well_founded: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_35, type, upwards_well_founded: ($i > $i > $o) > $o).
% 0.20/0.50 thf(func_def_36, type, a: $i > $o).
% 0.20/0.50 thf(func_def_37, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.20/0.50 thf(func_def_54, type, sK0: $i > $i > $o).
% 0.20/0.50 thf(f171,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(trivial_inequality_removal,[],[f170])).
% 0.20/0.50 thf(f170,plain,(
% 0.20/0.50 ($false = $true)),
% 0.20/0.50 inference(forward_demodulation,[],[f169,f159])).
% 0.20/0.50 thf(f159,plain,(
% 0.20/0.50 ($false = (a @ sK3))),
% 0.20/0.50 inference(binary_proxy_clausification,[],[f158])).
% 0.20/0.50 thf(f158,plain,(
% 0.20/0.50 ($false = ((sK0 @ sK3 @ sK2) => (a @ sK3)))),
% 0.20/0.50 inference(beta_eta_normalization,[],[f157])).
% 0.20/0.50 thf(f157,plain,(
% 0.20/0.50 ($false = ((^[Y0 : $i]: ((sK0 @ Y0 @ sK2) => (a @ Y0))) @ sK3))),
% 0.20/0.50 inference(sigma_clausification,[],[f156])).
% 0.20/0.50 thf(f156,plain,(
% 0.20/0.50 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ sK2) => (a @ Y0)))))),
% 0.20/0.50 inference(beta_eta_normalization,[],[f155])).
% 0.20/0.50 thf(f155,plain,(
% 0.20/0.50 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (a @ Y1))))) @ sK2) = $false)),
% 0.20/0.50 inference(sigma_clausification,[],[f154])).
% 0.20/0.50 thf(f154,plain,(
% 0.20/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (a @ Y1)))))) != $true)),
% 0.20/0.50 inference(boolean_simplification,[],[f153])).
% 0.20/0.50 thf(f153,plain,(
% 0.20/0.50 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => ((a @ Y1) & $true)))))))),
% 0.20/0.50 inference(beta_eta_normalization,[],[f152])).
% 0.20/0.50 thf(f152,plain,(
% 0.20/0.50 (((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))) @ sK0 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y0 @ Y2) & (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ($true)))) != $true)),
% 0.20/0.50 inference(definition_unfolding,[],[f114,f133,f147])).
% 0.20/0.50 thf(f147,plain,(
% 0.20/0.50 (cartesian_product = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y0 @ Y2) & (Y1 @ Y3))))))))))),
% 0.20/0.50 inference(cnf_transformation,[],[f83])).
% 0.20/0.50 thf(f83,plain,(
% 0.20/0.50 (cartesian_product = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y0 @ Y2) & (Y1 @ Y3))))))))))),
% 0.20/0.50 inference(fool_elimination,[],[f82])).
% 0.20/0.50 thf(f82,plain,(
% 0.20/0.50 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i] : ((X1 @ X3) & (X0 @ X2))) = cartesian_product)),
% 0.20/0.50 inference(rectify,[],[f15])).
% 0.20/0.50 thf(f15,axiom,(
% 0.20/0.50 ((^[X0 : $i > $o, X2 : $i > $o, X3 : $i, X4 : $i] : ((X2 @ X4) & (X0 @ X3))) = cartesian_product)),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product)).
% 0.20/0.50 thf(f133,plain,(
% 0.20/0.50 (sub_rel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 0.20/0.50 inference(cnf_transformation,[],[f50])).
% 0.20/0.50 thf(f50,plain,(
% 0.20/0.50 (sub_rel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 0.20/0.50 inference(fool_elimination,[],[f49])).
% 0.20/0.50 thf(f49,plain,(
% 0.20/0.50 (sub_rel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.20/0.50 inference(rectify,[],[f18])).
% 0.20/0.50 thf(f18,axiom,(
% 0.20/0.50 (sub_rel = (^[X6 : $i > $i > $o, X7 : $i > $i > $o] : (! [X0,X2] : ((X6 @ X0 @ X2) => (X7 @ X0 @ X2)))))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sub_rel)).
% 0.20/0.50 thf(f114,plain,(
% 0.20/0.50 ((sub_rel @ sK0 @ (cartesian_product @ a @ (^[Y0 : $i]: ($true)))) != $true)),
% 0.20/0.50 inference(cnf_transformation,[],[f110])).
% 0.20/0.50 thf(f110,plain,(
% 0.20/0.50 ((subset @ (rel_domain @ sK0) @ a) = $true) & ((sub_rel @ sK0 @ (cartesian_product @ a @ (^[Y0 : $i]: ($true)))) != $true)),
% 0.20/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f108,f109])).
% 0.20/0.50 thf(f109,plain,(
% 0.20/0.50 ? [X0 : $i > $i > $o] : (((subset @ (rel_domain @ X0) @ a) = $true) & ($true != (sub_rel @ X0 @ (cartesian_product @ a @ (^[Y0 : $i]: ($true)))))) => (((subset @ (rel_domain @ sK0) @ a) = $true) & ((sub_rel @ sK0 @ (cartesian_product @ a @ (^[Y0 : $i]: ($true)))) != $true))),
% 0.20/0.50 introduced(choice_axiom,[])).
% 0.20/0.50 thf(f108,plain,(
% 0.20/0.50 ? [X0 : $i > $i > $o] : (((subset @ (rel_domain @ X0) @ a) = $true) & ($true != (sub_rel @ X0 @ (cartesian_product @ a @ (^[Y0 : $i]: ($true))))))),
% 0.20/0.50 inference(ennf_transformation,[],[f101])).
% 0.20/0.50 thf(f101,plain,(
% 0.20/0.50 ~! [X0 : $i > $i > $o] : (((subset @ (rel_domain @ X0) @ a) = $true) => ($true = (sub_rel @ X0 @ (cartesian_product @ a @ (^[Y0 : $i]: ($true))))))),
% 0.20/0.50 inference(fool_elimination,[],[f100])).
% 0.20/0.50 thf(f100,plain,(
% 0.20/0.50 ~! [X0 : $i > $i > $o] : ((subset @ (rel_domain @ X0) @ a) => (sub_rel @ X0 @ (cartesian_product @ a @ (^[X1 : $i] : ($true)))))),
% 0.20/0.50 inference(rectify,[],[f37])).
% 0.20/0.50 thf(f37,negated_conjecture,(
% 0.20/0.50 ~! [X8 : $i > $i > $o] : ((subset @ (rel_domain @ X8) @ a) => (sub_rel @ X8 @ (cartesian_product @ a @ (^[X0 : $i] : ($true)))))),
% 0.20/0.50 inference(negated_conjecture,[],[f36])).
% 0.20/0.50 thf(f36,conjecture,(
% 0.20/0.50 ! [X8 : $i > $i > $o] : ((subset @ (rel_domain @ X8) @ a) => (sub_rel @ X8 @ (cartesian_product @ a @ (^[X0 : $i] : ($true)))))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.20/0.50 thf(f169,plain,(
% 0.20/0.50 ((a @ sK3) = $true)),
% 0.20/0.50 inference(trivial_inequality_removal,[],[f166])).
% 0.20/0.50 thf(f166,plain,(
% 0.20/0.50 ((a @ sK3) = $true) | ($false = $true)),
% 0.20/0.50 inference(superposition,[],[f165,f160])).
% 0.20/0.50 thf(f160,plain,(
% 0.20/0.50 ((sK0 @ sK3 @ sK2) = $true)),
% 0.20/0.50 inference(binary_proxy_clausification,[],[f158])).
% 0.20/0.50 thf(f165,plain,(
% 0.20/0.50 ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X2)) | ((a @ X1) = $true)) )),
% 0.20/0.50 inference(pi_clausification,[],[f164])).
% 0.20/0.50 thf(f164,plain,(
% 0.20/0.50 ( ! [X1 : $i] : (((a @ X1) = $true) | ($false = (?? @ $i @ (sK0 @ X1)))) )),
% 0.20/0.50 inference(binary_proxy_clausification,[],[f163])).
% 0.20/0.50 thf(f163,plain,(
% 0.20/0.50 ( ! [X1 : $i] : ((((?? @ $i @ (sK0 @ X1)) => (a @ X1)) = $true)) )),
% 0.20/0.50 inference(beta_eta_normalization,[],[f162])).
% 0.20/0.50 thf(f162,plain,(
% 0.20/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((?? @ $i @ (sK0 @ Y0)) => (a @ Y0))) @ X1) = $true)) )),
% 0.20/0.50 inference(pi_clausification,[],[f161])).
% 0.20/0.50 thf(f161,plain,(
% 0.20/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (sK0 @ Y0)) => (a @ Y0)))))),
% 0.20/0.50 inference(beta_eta_normalization,[],[f151])).
% 0.20/0.50 thf(f151,plain,(
% 0.20/0.50 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ sK0) @ a))),
% 0.20/0.50 inference(definition_unfolding,[],[f115,f125,f142])).
% 0.20/0.50 thf(f142,plain,(
% 0.20/0.50 (rel_domain = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.20/0.50 inference(cnf_transformation,[],[f60])).
% 0.20/0.50 thf(f60,plain,(
% 0.20/0.50 (rel_domain = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.20/0.50 inference(fool_elimination,[],[f59])).
% 0.20/0.50 thf(f59,plain,(
% 0.20/0.50 ((^[X0 : $i > $i > $o, X1 : $i] : (? [X2] : (X0 @ X1 @ X2))) = rel_domain)),
% 0.20/0.50 inference(rectify,[],[f29])).
% 0.20/0.50 thf(f29,axiom,(
% 0.20/0.50 ((^[X8 : $i > $i > $o, X0 : $i] : (? [X2] : (X8 @ X0 @ X2))) = rel_domain)),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rel_domain)).
% 0.20/0.50 thf(f125,plain,(
% 0.20/0.50 (subset = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.20/0.50 inference(cnf_transformation,[],[f54])).
% 0.20/0.50 thf(f54,plain,(
% 0.20/0.50 (subset = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.20/0.50 inference(fool_elimination,[],[f53])).
% 0.20/0.50 thf(f53,plain,(
% 0.20/0.50 (subset = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((X0 @ X2) => (X1 @ X2)))))),
% 0.20/0.50 inference(rectify,[],[f12])).
% 0.20/0.50 thf(f12,axiom,(
% 0.20/0.50 (subset = (^[X0 : $i > $o, X2 : $i > $o] : (! [X3] : ((X0 @ X3) => (X2 @ X3)))))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset)).
% 0.20/0.50 thf(f115,plain,(
% 0.20/0.50 ((subset @ (rel_domain @ sK0) @ a) = $true)),
% 0.20/0.50 inference(cnf_transformation,[],[f110])).
% 0.20/0.50 % SZS output end Proof for theBenchmark
% 0.20/0.50 % (20409)------------------------------
% 0.20/0.50 % (20409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (20409)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (20409)Memory used [KB]: 5628
% 0.20/0.50 % (20409)Time elapsed: 0.008 s
% 0.20/0.50 % (20409)Instructions burned: 10 (million)
% 0.20/0.50 % (20409)------------------------------
% 0.20/0.50 % (20409)------------------------------
% 0.20/0.50 % (20273)Success in time 0.145 s
% 0.20/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------