TSTP Solution File: CSR138^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : CSR138^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 : Mon Jun 24 05:32:41 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR138^1 : TPTP v8.2.0. Released v4.1.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n018.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 : Thu Jun 20 00:13:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.36 This is a TH0_THM_EQU_NAR problem
% 0.22/0.36 Running higher-order theorem proving
% 0.22/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.38 % (4294)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (4289)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 (2999ds/4Mi)
% 0.22/0.38 % (4290)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 (2999ds/27Mi)
% 0.22/0.38 % (4288)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (4291)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (4293)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 (2999ds/275Mi)
% 0.22/0.38 % (4292)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 (2999ds/2Mi)
% 0.22/0.38 % (4291)Instruction limit reached!
% 0.22/0.38 % (4291)------------------------------
% 0.22/0.38 % (4291)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (4291)Termination reason: Unknown
% 0.22/0.38 % (4291)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (4291)Memory used [KB]: 5500
% 0.22/0.38 % (4291)Time elapsed: 0.004 s
% 0.22/0.38 % (4291)Instructions burned: 2 (million)
% 0.22/0.38 % (4291)------------------------------
% 0.22/0.38 % (4291)------------------------------
% 0.22/0.38 % (4292)Instruction limit reached!
% 0.22/0.38 % (4292)------------------------------
% 0.22/0.38 % (4292)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (4292)Termination reason: Unknown
% 0.22/0.38 % (4292)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (4292)Memory used [KB]: 1023
% 0.22/0.38 % (4292)Time elapsed: 0.004 s
% 0.22/0.38 % (4292)Instructions burned: 2 (million)
% 0.22/0.38 % (4292)------------------------------
% 0.22/0.38 % (4292)------------------------------
% 0.22/0.38 % (4289)Instruction limit reached!
% 0.22/0.38 % (4289)------------------------------
% 0.22/0.38 % (4289)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.38 % (4289)Termination reason: Unknown
% 0.22/0.38 % (4289)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (4289)Memory used [KB]: 5500
% 0.22/0.38 % (4289)Time elapsed: 0.006 s
% 0.22/0.38 % (4289)Instructions burned: 4 (million)
% 0.22/0.38 % (4289)------------------------------
% 0.22/0.38 % (4289)------------------------------
% 0.22/0.39 % (4290)First to succeed.
% 0.22/0.39 % (4294)Instruction limit reached!
% 0.22/0.39 % (4294)------------------------------
% 0.22/0.39 % (4294)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (4294)Termination reason: Unknown
% 0.22/0.39 % (4294)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (4294)Memory used [KB]: 5628
% 0.22/0.39 % (4294)Time elapsed: 0.013 s
% 0.22/0.39 % (4294)Instructions burned: 19 (million)
% 0.22/0.39 % (4294)------------------------------
% 0.22/0.39 % (4294)------------------------------
% 0.22/0.39 % (4290)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% 0.22/0.39 thf(func_def_0, type, num: $tType).
% 0.22/0.39 thf(func_def_7, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.39 thf(func_def_8, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.39 thf(func_def_11, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.22/0.39 thf(func_def_21, type, ph5: !>[X0: $tType]:(X0)).
% 0.22/0.39 thf(f148,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(avatar_sat_refutation,[],[f87,f96,f147])).
% 0.22/0.39 thf(f147,plain,(
% 0.22/0.39 ~spl4_3),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f146])).
% 0.22/0.39 thf(f146,plain,(
% 0.22/0.39 $false | ~spl4_3),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f142])).
% 0.22/0.39 thf(f142,plain,(
% 0.22/0.39 ($false = $true) | ~spl4_3),
% 0.22/0.39 inference(superposition,[],[f53,f138])).
% 0.22/0.39 thf(f138,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ X1 @ X2) = $true)) ) | ~spl4_3),
% 0.22/0.39 inference(beta_eta_normalization,[],[f137])).
% 0.22/0.39 thf(f137,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((parent_THFTYPE_IiioI @ X1 @ X2) = ((^[Y0 : $i]: ($true)) @ X2))) ) | ~spl4_3),
% 0.22/0.39 inference(argument_congruence,[],[f108])).
% 0.22/0.39 thf(f108,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = (parent_THFTYPE_IiioI @ X1))) ) | ~spl4_3),
% 0.22/0.39 inference(beta_eta_normalization,[],[f107])).
% 0.22/0.39 thf(f107,plain,(
% 0.22/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1) = (parent_THFTYPE_IiioI @ X1))) ) | ~spl4_3),
% 0.22/0.39 inference(argument_congruence,[],[f102])).
% 0.22/0.39 thf(f102,plain,(
% 0.22/0.39 (parent_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl4_3),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f101])).
% 0.22/0.39 thf(f101,plain,(
% 0.22/0.39 ($true != $true) | (parent_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl4_3),
% 0.22/0.39 inference(superposition,[],[f70,f47])).
% 0.22/0.39 thf(f47,plain,(
% 0.22/0.39 ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f26])).
% 0.22/0.39 thf(f26,plain,(
% 0.22/0.39 ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f25])).
% 0.22/0.39 thf(f25,plain,(
% 0.22/0.39 (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)),
% 0.22/0.39 inference(rectify,[],[f8])).
% 0.22/0.39 thf(f8,axiom,(
% 0.22/0.39 (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007)).
% 0.22/0.39 thf(f70,plain,(
% 0.22/0.39 ( ! [X0 : $i > $i > $o] : (($true != (X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) ) | ~spl4_3),
% 0.22/0.39 inference(avatar_component_clause,[],[f69])).
% 0.22/0.39 thf(f69,plain,(
% 0.22/0.39 spl4_3 <=> ! [X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ($true != (X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
% 0.22/0.39 thf(f53,plain,(
% 0.22/0.39 ($false = (parent_THFTYPE_IiioI @ sK1 @ sK0))),
% 0.22/0.39 inference(not_proxy_clausification,[],[f38])).
% 0.22/0.39 thf(f38,plain,(
% 0.22/0.39 ((~ (parent_THFTYPE_IiioI @ sK1 @ sK0)) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f35])).
% 0.22/0.39 thf(f35,plain,(
% 0.22/0.39 ((~ (parent_THFTYPE_IiioI @ sK1 @ sK0)) = $true)),
% 0.22/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f34])).
% 0.22/0.39 thf(f34,plain,(
% 0.22/0.39 ? [X0,X1] : ((~ (parent_THFTYPE_IiioI @ X1 @ X0)) = $true) => ((~ (parent_THFTYPE_IiioI @ sK1 @ sK0)) = $true)),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f30,plain,(
% 0.22/0.39 ? [X0,X1] : ((~ (parent_THFTYPE_IiioI @ X1 @ X0)) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f29])).
% 0.22/0.39 thf(f29,plain,(
% 0.22/0.39 ? [X0,X1] : (~ (parent_THFTYPE_IiioI @ X1 @ X0))),
% 0.22/0.39 inference(rectify,[],[f3])).
% 0.22/0.39 thf(f3,axiom,(
% 0.22/0.39 ? [X1,X0] : (~ (parent_THFTYPE_IiioI @ X0 @ X1))),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.22/0.39 thf(f96,plain,(
% 0.22/0.39 spl4_2 | spl4_3),
% 0.22/0.39 inference(avatar_split_clause,[],[f91,f69,f64])).
% 0.22/0.39 thf(f64,plain,(
% 0.22/0.39 spl4_2 <=> (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.22/0.39 thf(f91,plain,(
% 0.22/0.39 ( ! [X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ($true != (X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) | (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) )),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f90])).
% 0.22/0.39 thf(f90,plain,(
% 0.22/0.39 ( ! [X0 : $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ($true != (X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) | ($true != $true) | (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) )),
% 0.22/0.39 inference(superposition,[],[f51,f43])).
% 0.22/0.39 thf(f43,plain,(
% 0.22/0.39 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f22])).
% 0.22/0.39 thf(f22,plain,(
% 0.22/0.39 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f21])).
% 0.22/0.39 thf(f21,plain,(
% 0.22/0.39 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.22/0.39 inference(rectify,[],[f1])).
% 0.22/0.39 thf(f1,axiom,(
% 0.22/0.39 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.22/0.39 thf(f51,plain,(
% 0.22/0.39 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true != (X0 @ X2 @ lBill_THFTYPE_i)) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X1) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ((X1 @ X2 @ lAnna_THFTYPE_i) != $true)) )),
% 0.22/0.39 inference(equality_proxy_clausification,[],[f50])).
% 0.22/0.39 thf(f50,plain,(
% 0.22/0.39 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X1 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) = $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | ($true != (X0 @ X2 @ lBill_THFTYPE_i)) | ((X1 @ X2 @ lAnna_THFTYPE_i) != $true)) )),
% 0.22/0.39 inference(equality_proxy_clausification,[],[f49])).
% 0.22/0.39 thf(f49,plain,(
% 0.22/0.39 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true = (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) | ($true != (X0 @ X2 @ lBill_THFTYPE_i)) | ((X1 @ X2 @ lAnna_THFTYPE_i) != $true) | ((X1 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) = $true)) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f48])).
% 0.22/0.39 thf(f48,plain,(
% 0.22/0.39 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (($true != (~ (X1 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | ((X1 @ X2 @ lAnna_THFTYPE_i) != $true) | ($true = (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) | ($true != (X0 @ X2 @ lBill_THFTYPE_i))) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f45])).
% 0.22/0.39 thf(f45,plain,(
% 0.22/0.39 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X1 @ X2 @ lAnna_THFTYPE_i) != $true) | ($true != (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | ($true != (~ (X1 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | ($true != (X0 @ X2 @ lBill_THFTYPE_i))) )),
% 0.22/0.39 inference(cnf_transformation,[],[f33])).
% 0.22/0.39 thf(f33,plain,(
% 0.22/0.39 ! [X0 : $i > $i > $o,X1 : $i > $i > $o,X2] : (($true != (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) | ((X1 @ X2 @ lAnna_THFTYPE_i) != $true) | ($true != (X0 @ X2 @ lBill_THFTYPE_i)) | ($true != (~ (X1 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))))),
% 0.22/0.39 inference(ennf_transformation,[],[f28])).
% 0.22/0.39 thf(f28,plain,(
% 0.22/0.39 ~? [X0 : $i > $i > $o,X1 : $i > $i > $o,X2] : (($true = (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))) & ((X1 @ X2 @ lAnna_THFTYPE_i) = $true) & ($true = (X0 @ X2 @ lBill_THFTYPE_i)) & ($true = (~ (X1 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))))),
% 0.22/0.39 inference(fool_elimination,[],[f27])).
% 0.22/0.39 thf(f27,plain,(
% 0.22/0.39 ~? [X0 : $i > $i > $o,X1 : $i > $i > $o,X2] : ((X1 @ X2 @ lAnna_THFTYPE_i) & (~ (X1 = (^[X3 : $i, X4 : $i] : ($true)))) & (~ (X0 = (^[X5 : $i, X6 : $i] : ($true)))) & (X0 @ X2 @ lBill_THFTYPE_i))),
% 0.22/0.39 inference(rectify,[],[f11])).
% 0.22/0.39 thf(f11,negated_conjecture,(
% 0.22/0.39 ~? [X3 : $i > $i > $o,X2 : $i > $i > $o,X1] : ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 = (^[X4 : $i, X5 : $i] : ($true)))) & (~ (X3 = (^[X4 : $i, X5 : $i] : ($true)))) & (X3 @ X1 @ lBill_THFTYPE_i))),
% 0.22/0.39 inference(negated_conjecture,[],[f10])).
% 0.22/0.39 thf(f10,conjecture,(
% 0.22/0.39 ? [X3 : $i > $i > $o,X2 : $i > $i > $o,X1] : ((X2 @ X1 @ lAnna_THFTYPE_i) & (~ (X2 = (^[X4 : $i, X5 : $i] : ($true)))) & (~ (X3 = (^[X4 : $i, X5 : $i] : ($true)))) & (X3 @ X1 @ lBill_THFTYPE_i))),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.22/0.39 thf(f87,plain,(
% 0.22/0.39 ~spl4_2),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f86])).
% 0.22/0.39 thf(f86,plain,(
% 0.22/0.39 $false | ~spl4_2),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f82])).
% 0.22/0.39 thf(f82,plain,(
% 0.22/0.39 ($false = $true) | ~spl4_2),
% 0.22/0.39 inference(superposition,[],[f81,f52])).
% 0.22/0.39 thf(f52,plain,(
% 0.22/0.39 ((likes_THFTYPE_IiioI @ sK2 @ sK3) = $false)),
% 0.22/0.39 inference(not_proxy_clausification,[],[f44])).
% 0.22/0.39 thf(f44,plain,(
% 0.22/0.39 ($true = (~ (likes_THFTYPE_IiioI @ sK2 @ sK3)))),
% 0.22/0.39 inference(cnf_transformation,[],[f37])).
% 0.22/0.39 thf(f37,plain,(
% 0.22/0.39 ($true = (~ (likes_THFTYPE_IiioI @ sK2 @ sK3)))),
% 0.22/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f32,f36])).
% 0.22/0.39 thf(f36,plain,(
% 0.22/0.39 ? [X0,X1] : ((~ (likes_THFTYPE_IiioI @ X0 @ X1)) = $true) => ($true = (~ (likes_THFTYPE_IiioI @ sK2 @ sK3)))),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f32,plain,(
% 0.22/0.39 ? [X0,X1] : ((~ (likes_THFTYPE_IiioI @ X0 @ X1)) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f31])).
% 0.22/0.39 thf(f31,plain,(
% 0.22/0.39 ? [X0,X1] : (~ (likes_THFTYPE_IiioI @ X0 @ X1))),
% 0.22/0.39 inference(rectify,[],[f4])).
% 0.22/0.39 thf(f4,axiom,(
% 0.22/0.39 ? [X0,X1] : (~ (likes_THFTYPE_IiioI @ X0 @ X1))),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.22/0.39 thf(f81,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X1 @ X2) = $true)) ) | ~spl4_2),
% 0.22/0.39 inference(beta_eta_normalization,[],[f80])).
% 0.22/0.39 thf(f80,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ X1 @ X2) = ((^[Y0 : $i]: ($true)) @ X2))) ) | ~spl4_2),
% 0.22/0.39 inference(argument_congruence,[],[f78])).
% 0.22/0.39 thf(f78,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = (likes_THFTYPE_IiioI @ X1))) ) | ~spl4_2),
% 0.22/0.39 inference(beta_eta_normalization,[],[f77])).
% 0.22/0.39 thf(f77,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (((likes_THFTYPE_IiioI @ X1) = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1))) ) | ~spl4_2),
% 0.22/0.39 inference(argument_congruence,[],[f66])).
% 0.22/0.39 thf(f66,plain,(
% 0.22/0.39 (likes_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl4_2),
% 0.22/0.39 inference(avatar_component_clause,[],[f64])).
% 0.22/0.39 % SZS output end Proof for theBenchmark
% 0.22/0.39 % (4290)------------------------------
% 0.22/0.39 % (4290)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (4290)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (4290)Memory used [KB]: 5628
% 0.22/0.39 % (4290)Time elapsed: 0.012 s
% 0.22/0.39 % (4290)Instructions burned: 9 (million)
% 0.22/0.39 % (4290)------------------------------
% 0.22/0.39 % (4290)------------------------------
% 0.22/0.39 % (4287)Success in time 0.026 s
%------------------------------------------------------------------------------