TSTP Solution File: SYO888^10 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO888^10 : TPTP v8.2.0. Released v8.1.0.
% 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 : n032.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 09:09:32 EDT 2024
% Result : Theorem 0.09s 0.30s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYO888^10 : TPTP v8.2.0. Released v8.1.0.
% 0.02/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon May 20 10:11:52 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a TH0_THM_EQU_NAR problem
% 0.09/0.28 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
% 0.09/0.30 % (3348)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 (3000ds/27Mi)
% 0.09/0.30 % (3346)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.09/0.30 % (3349)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.09/0.30 % (3350)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 (3000ds/2Mi)
% 0.09/0.30 % (3351)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 (3000ds/275Mi)
% 0.09/0.30 % (3352)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.09/0.30 % (3353)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.09/0.30 % (3349)Instruction limit reached!
% 0.09/0.30 % (3349)------------------------------
% 0.09/0.30 % (3349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (3350)Instruction limit reached!
% 0.09/0.30 % (3350)------------------------------
% 0.09/0.30 % (3350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (3349)Termination reason: Unknown
% 0.09/0.30 % (3349)Termination phase: Property scanning
% 0.09/0.30
% 0.09/0.30 % (3349)Memory used [KB]: 1023
% 0.09/0.30 % (3349)Time elapsed: 0.002 s
% 0.09/0.30 % (3349)Instructions burned: 2 (million)
% 0.09/0.30 % (3349)------------------------------
% 0.09/0.30 % (3349)------------------------------
% 0.09/0.30 % (3350)Termination reason: Unknown
% 0.09/0.30 % (3350)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (3350)Memory used [KB]: 1023
% 0.09/0.30 % (3350)Time elapsed: 0.002 s
% 0.09/0.30 % (3350)Instructions burned: 2 (million)
% 0.09/0.30 % (3350)------------------------------
% 0.09/0.30 % (3350)------------------------------
% 0.09/0.30 % (3353)Instruction limit reached!
% 0.09/0.30 % (3353)------------------------------
% 0.09/0.30 % (3353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (3353)Termination reason: Unknown
% 0.09/0.30 % (3353)Termination phase: Saturation
% 0.09/0.30
% 0.09/0.30 % (3353)Memory used [KB]: 5500
% 0.09/0.30 % (3353)Time elapsed: 0.003 s
% 0.09/0.30 % (3353)Instructions burned: 5 (million)
% 0.09/0.30 % (3353)------------------------------
% 0.09/0.30 % (3353)------------------------------
% 0.09/0.30 % (3351)Refutation not found, incomplete strategy
% 0.09/0.30 % (3351)------------------------------
% 0.09/0.30 % (3351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (3351)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.30
% 0.09/0.30
% 0.09/0.30 % (3351)Memory used [KB]: 5500
% 0.09/0.30 % (3351)Time elapsed: 0.003 s
% 0.09/0.30 % (3351)Instructions burned: 5 (million)
% 0.09/0.30 % (3351)------------------------------
% 0.09/0.30 % (3351)------------------------------
% 0.09/0.30 % (3347)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 (3000ds/4Mi)
% 0.09/0.30 % (3348)First to succeed.
% 0.09/0.30 % (3347)Instruction limit reached!
% 0.09/0.30 % (3347)------------------------------
% 0.09/0.30 % (3347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (3347)Termination reason: Unknown
% 0.09/0.30 % (3347)Termination phase: Saturation
% 0.09/0.30
% 0.09/0.30 % (3347)Memory used [KB]: 5500
% 0.09/0.30 % (3347)Time elapsed: 0.004 s
% 0.09/0.30 % (3347)Instructions burned: 5 (million)
% 0.09/0.30 % (3347)------------------------------
% 0.09/0.30 % (3347)------------------------------
% 0.09/0.30 % (3352)Also succeeded, but the first one will report.
% 0.09/0.30 % (3348)Refutation found. Thanks to Tanya!
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start Proof for theBenchmark
% 0.09/0.30 thf(type_def_5, type, mworld: $tType).
% 0.09/0.30 thf(func_def_0, type, mworld: $tType).
% 0.09/0.30 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.09/0.30 thf(func_def_2, type, mactual: mworld).
% 0.09/0.30 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.09/0.30 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.09/0.30 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.09/0.30 thf(func_def_15, type, f: $i > mworld > $o).
% 0.09/0.30 thf(func_def_16, type, g: $i > mworld > $o).
% 0.09/0.30 thf(func_def_17, type, h: $i > mworld > $o).
% 0.09/0.30 thf(func_def_18, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.09/0.30 thf(func_def_32, type, sK0: mworld > $i).
% 0.09/0.30 thf(func_def_35, type, sK3: mworld).
% 0.09/0.30 thf(f140,plain,(
% 0.09/0.30 $false),
% 0.09/0.30 inference(avatar_sat_refutation,[],[f111,f135,f139])).
% 0.09/0.30 thf(f139,plain,(
% 0.09/0.30 ~spl1_1),
% 0.09/0.30 inference(avatar_contradiction_clause,[],[f138])).
% 0.09/0.30 thf(f138,plain,(
% 0.09/0.30 $false | ~spl1_1),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f136])).
% 0.09/0.30 thf(f136,plain,(
% 0.09/0.30 ($false = $true) | ~spl1_1),
% 0.09/0.30 inference(backward_demodulation,[],[f92,f103])).
% 0.09/0.30 thf(f103,plain,(
% 0.09/0.30 ((mrel @ mactual @ sK3) = $false) | ~spl1_1),
% 0.09/0.30 inference(avatar_component_clause,[],[f101])).
% 0.09/0.30 thf(f101,plain,(
% 0.09/0.30 spl1_1 <=> ((mrel @ mactual @ sK3) = $false)),
% 0.09/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.09/0.30 thf(f92,plain,(
% 0.09/0.30 ((mrel @ mactual @ sK3) = $true)),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f90])).
% 0.09/0.30 thf(f90,plain,(
% 0.09/0.30 (((mrel @ mactual @ sK3) => (h @ sK2 @ sK3)) = $false)),
% 0.09/0.30 inference(beta_eta_normalization,[],[f89])).
% 0.09/0.30 thf(f89,plain,(
% 0.09/0.30 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ sK2 @ Y0))) @ sK3))),
% 0.09/0.30 inference(sigma_clausification,[],[f87])).
% 0.09/0.30 thf(f87,plain,(
% 0.09/0.30 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ sK2 @ Y0)))))),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f85])).
% 0.09/0.30 thf(f85,plain,(
% 0.09/0.30 (((f @ sK2 @ mactual) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ sK2 @ Y0))))) = $false)),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f84])).
% 0.09/0.30 thf(f84,plain,(
% 0.09/0.30 (((eiw_di @ sK2 @ mactual) => ((f @ sK2 @ mactual) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ sK2 @ Y0)))))) = $false)),
% 0.09/0.30 inference(beta_eta_normalization,[],[f83])).
% 0.09/0.30 thf(f83,plain,(
% 0.09/0.30 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1))))))) @ sK2) = $false)),
% 0.09/0.30 inference(sigma_clausification,[],[f65])).
% 0.09/0.30 thf(f65,plain,(
% 0.09/0.30 ($false = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1)))))))))),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f64])).
% 0.09/0.30 thf(f64,plain,(
% 0.09/0.30 ($true != (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((g @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1)))))))) & (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (g @ Y0 @ Y1))))))))) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1))))))))))),
% 0.09/0.30 inference(beta_eta_normalization,[],[f63])).
% 0.09/0.30 thf(f63,plain,(
% 0.09/0.30 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) => (Y2 @ Y3))))))) @ (f @ Y0) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (g @ Y0))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) => (Y2 @ Y3))))))) @ (g @ Y0) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (h @ Y0)))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) => (Y2 @ Y3))))))) @ (f @ Y0) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ (h @ Y0))))))))),
% 0.09/0.30 inference(definition_unfolding,[],[f57,f50,f60,f58,f54,f60,f52,f54,f60,f52,f54,f60,f52])).
% 0.09/0.30 thf(f52,plain,(
% 0.09/0.30 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.09/0.30 inference(cnf_transformation,[],[f26])).
% 0.09/0.30 thf(f26,plain,(
% 0.09/0.30 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.09/0.30 inference(fool_elimination,[],[f25])).
% 0.09/0.30 thf(f25,plain,(
% 0.09/0.30 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.09/0.30 inference(rectify,[],[f7])).
% 0.09/0.30 thf(f7,axiom,(
% 0.09/0.30 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.09/0.30 thf(f54,plain,(
% 0.09/0.30 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.09/0.30 inference(cnf_transformation,[],[f34])).
% 0.09/0.30 thf(f34,plain,(
% 0.09/0.30 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.09/0.30 inference(fool_elimination,[],[f33])).
% 0.09/0.30 thf(f33,plain,(
% 0.09/0.30 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 0.09/0.30 inference(rectify,[],[f12])).
% 0.09/0.30 thf(f12,axiom,(
% 0.09/0.30 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : ((eiw_di @ X6 @ X2) => (X1 @ X6 @ X2)))) = mforall_di)),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.09/0.30 thf(f58,plain,(
% 0.09/0.30 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.09/0.30 inference(cnf_transformation,[],[f43])).
% 0.09/0.30 thf(f43,plain,(
% 0.09/0.30 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.09/0.30 inference(fool_elimination,[],[f42])).
% 0.09/0.30 thf(f42,plain,(
% 0.09/0.30 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 0.09/0.30 inference(rectify,[],[f3])).
% 0.09/0.30 thf(f3,axiom,(
% 0.09/0.30 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.09/0.30 thf(f60,plain,(
% 0.09/0.30 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.09/0.30 inference(cnf_transformation,[],[f41])).
% 0.09/0.30 thf(f41,plain,(
% 0.09/0.30 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.09/0.30 inference(fool_elimination,[],[f40])).
% 0.09/0.30 thf(f40,plain,(
% 0.09/0.30 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.09/0.30 inference(rectify,[],[f5])).
% 0.09/0.30 thf(f5,axiom,(
% 0.09/0.30 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.09/0.30 thf(f50,plain,(
% 0.09/0.30 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.09/0.30 inference(cnf_transformation,[],[f37])).
% 0.09/0.30 thf(f37,plain,(
% 0.09/0.30 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.09/0.30 inference(fool_elimination,[],[f1])).
% 0.09/0.30 thf(f1,axiom,(
% 0.09/0.30 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.09/0.30 thf(f57,plain,(
% 0.09/0.30 ((mlocal @ (mimplies @ (mand @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (f @ Y0) @ (mbox @ (g @ Y0))))) @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (g @ Y0) @ (mbox @ (h @ Y0)))))) @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (f @ Y0) @ (mbox @ (h @ Y0))))))) != $true)),
% 0.09/0.30 inference(cnf_transformation,[],[f44])).
% 0.09/0.30 thf(f44,plain,(
% 0.09/0.30 ((mlocal @ (mimplies @ (mand @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (f @ Y0) @ (mbox @ (g @ Y0))))) @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (g @ Y0) @ (mbox @ (h @ Y0)))))) @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (f @ Y0) @ (mbox @ (h @ Y0))))))) != $true)),
% 0.09/0.30 inference(flattening,[],[f24])).
% 0.09/0.30 thf(f24,plain,(
% 0.09/0.30 ~((mlocal @ (mimplies @ (mand @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (f @ Y0) @ (mbox @ (g @ Y0))))) @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (g @ Y0) @ (mbox @ (h @ Y0)))))) @ (mforall_di @ (^[Y0 : $i]: (mimplies @ (f @ Y0) @ (mbox @ (h @ Y0))))))) = $true)),
% 0.09/0.30 inference(fool_elimination,[],[f23])).
% 0.09/0.30 thf(f23,plain,(
% 0.09/0.30 ~(mlocal @ (mimplies @ (mand @ (mforall_di @ (^[X0 : $i] : (mimplies @ (f @ X0) @ (mbox @ (g @ X0))))) @ (mforall_di @ (^[X1 : $i] : (mimplies @ (g @ X1) @ (mbox @ (h @ X1)))))) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (f @ X2) @ (mbox @ (h @ X2)))))))),
% 0.09/0.30 inference(rectify,[],[f15])).
% 0.09/0.30 thf(f15,negated_conjecture,(
% 0.09/0.30 ~(mlocal @ (mimplies @ (mand @ (mforall_di @ (^[X6 : $i] : (mimplies @ (f @ X6) @ (mbox @ (g @ X6))))) @ (mforall_di @ (^[X6 : $i] : (mimplies @ (g @ X6) @ (mbox @ (h @ X6)))))) @ (mforall_di @ (^[X6 : $i] : (mimplies @ (f @ X6) @ (mbox @ (h @ X6)))))))),
% 0.09/0.30 inference(negated_conjecture,[],[f14])).
% 0.09/0.30 thf(f14,conjecture,(
% 0.09/0.30 (mlocal @ (mimplies @ (mand @ (mforall_di @ (^[X6 : $i] : (mimplies @ (f @ X6) @ (mbox @ (g @ X6))))) @ (mforall_di @ (^[X6 : $i] : (mimplies @ (g @ X6) @ (mbox @ (h @ X6)))))) @ (mforall_di @ (^[X6 : $i] : (mimplies @ (f @ X6) @ (mbox @ (h @ X6)))))))),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.09/0.30 thf(f135,plain,(
% 0.09/0.30 ~spl1_2),
% 0.09/0.30 inference(avatar_contradiction_clause,[],[f134])).
% 0.09/0.30 thf(f134,plain,(
% 0.09/0.30 $false | ~spl1_2),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f128])).
% 0.09/0.30 thf(f128,plain,(
% 0.09/0.30 ($false = $true) | ~spl1_2),
% 0.09/0.30 inference(superposition,[],[f121,f51])).
% 0.09/0.30 thf(f51,plain,(
% 0.09/0.30 ( ! [X0 : mworld] : (($true = (mrel @ X0 @ X0))) )),
% 0.09/0.30 inference(cnf_transformation,[],[f22])).
% 0.09/0.30 thf(f22,plain,(
% 0.09/0.30 ! [X0 : mworld] : ($true = (mrel @ X0 @ X0))),
% 0.09/0.30 inference(fool_elimination,[],[f21])).
% 0.09/0.30 thf(f21,plain,(
% 0.09/0.30 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 0.09/0.30 inference(rectify,[],[f9])).
% 0.09/0.30 thf(f9,axiom,(
% 0.09/0.30 ! [X2 : mworld] : (mrel @ X2 @ X2)),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 0.09/0.30 thf(f121,plain,(
% 0.09/0.30 ((mrel @ mactual @ mactual) = $false) | ~spl1_2),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f120])).
% 0.09/0.30 thf(f120,plain,(
% 0.09/0.30 ($false = $true) | ((mrel @ mactual @ mactual) = $false) | ~spl1_2),
% 0.09/0.30 inference(forward_demodulation,[],[f119,f86])).
% 0.09/0.30 thf(f86,plain,(
% 0.09/0.30 ((eiw_di @ sK2 @ mactual) = $true)),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f84])).
% 0.09/0.30 thf(f119,plain,(
% 0.09/0.30 ($false = (eiw_di @ sK2 @ mactual)) | ((mrel @ mactual @ mactual) = $false) | ~spl1_2),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f118])).
% 0.09/0.30 thf(f118,plain,(
% 0.09/0.30 ((mrel @ mactual @ mactual) = $false) | ($false = $true) | ($false = (eiw_di @ sK2 @ mactual)) | ~spl1_2),
% 0.09/0.30 inference(forward_demodulation,[],[f117,f88])).
% 0.09/0.30 thf(f88,plain,(
% 0.09/0.30 ((f @ sK2 @ mactual) = $true)),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f85])).
% 0.09/0.30 thf(f117,plain,(
% 0.09/0.30 ((mrel @ mactual @ mactual) = $false) | ((f @ sK2 @ mactual) = $false) | ($false = (eiw_di @ sK2 @ mactual)) | ~spl1_2),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f115])).
% 0.09/0.30 thf(f115,plain,(
% 0.09/0.30 ($false = (eiw_di @ sK2 @ mactual)) | ((mrel @ mactual @ mactual) = $false) | ((f @ sK2 @ mactual) = $false) | ($false = $true) | ~spl1_2),
% 0.09/0.30 inference(superposition,[],[f82,f107])).
% 0.09/0.30 thf(f107,plain,(
% 0.09/0.30 ($false = (g @ sK2 @ mactual)) | ~spl1_2),
% 0.09/0.30 inference(avatar_component_clause,[],[f105])).
% 0.09/0.30 thf(f105,plain,(
% 0.09/0.30 spl1_2 <=> ($false = (g @ sK2 @ mactual))),
% 0.09/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.09/0.30 thf(f82,plain,(
% 0.09/0.30 ( ! [X2 : mworld,X1 : $i] : (($true = (g @ X1 @ X2)) | ($false = (f @ X1 @ mactual)) | ($false = (mrel @ mactual @ X2)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f81])).
% 0.09/0.30 thf(f81,plain,(
% 0.09/0.30 ( ! [X2 : mworld,X1 : $i] : ((((mrel @ mactual @ X2) => (g @ X1 @ X2)) = $true) | ($false = (f @ X1 @ mactual)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.09/0.30 inference(beta_eta_normalization,[],[f80])).
% 0.09/0.30 thf(f80,plain,(
% 0.09/0.30 ( ! [X2 : mworld,X1 : $i] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (g @ X1 @ Y0))) @ X2) = $true) | ($false = (eiw_di @ X1 @ mactual)) | ($false = (f @ X1 @ mactual))) )),
% 0.09/0.30 inference(pi_clausification,[],[f79])).
% 0.09/0.30 thf(f79,plain,(
% 0.09/0.30 ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (g @ X1 @ Y0)))) = $true) | ($false = (f @ X1 @ mactual))) )),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f78])).
% 0.09/0.30 thf(f78,plain,(
% 0.09/0.30 ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | (((f @ X1 @ mactual) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (g @ X1 @ Y0))))) = $true)) )),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f77])).
% 0.09/0.30 thf(f77,plain,(
% 0.09/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => ((f @ X1 @ mactual) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (g @ X1 @ Y0)))))) = $true)) )),
% 0.09/0.30 inference(beta_eta_normalization,[],[f76])).
% 0.09/0.30 thf(f76,plain,(
% 0.09/0.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (g @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 0.09/0.30 inference(pi_clausification,[],[f67])).
% 0.09/0.30 thf(f67,plain,(
% 0.09/0.30 ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (g @ Y0 @ Y1)))))))))),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f66])).
% 0.09/0.30 thf(f66,plain,(
% 0.09/0.30 ($true = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((g @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1)))))))) & (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((f @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (g @ Y0 @ Y1))))))))))),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f64])).
% 0.09/0.30 thf(f111,plain,(
% 0.09/0.30 spl1_1 | spl1_2),
% 0.09/0.30 inference(avatar_split_clause,[],[f110,f105,f101])).
% 0.09/0.30 thf(f110,plain,(
% 0.09/0.30 ($false = (g @ sK2 @ mactual)) | ((mrel @ mactual @ sK3) = $false)),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f109])).
% 0.09/0.30 thf(f109,plain,(
% 0.09/0.30 ($false = $true) | ((mrel @ mactual @ sK3) = $false) | ($false = (g @ sK2 @ mactual))),
% 0.09/0.30 inference(forward_demodulation,[],[f96,f86])).
% 0.09/0.30 thf(f96,plain,(
% 0.09/0.30 ($false = (g @ sK2 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ((mrel @ mactual @ sK3) = $false)),
% 0.09/0.30 inference(trivial_inequality_removal,[],[f95])).
% 0.09/0.30 thf(f95,plain,(
% 0.09/0.30 ($false = (eiw_di @ sK2 @ mactual)) | ((mrel @ mactual @ sK3) = $false) | ($false = $true) | ($false = (g @ sK2 @ mactual))),
% 0.09/0.30 inference(superposition,[],[f91,f75])).
% 0.09/0.30 thf(f75,plain,(
% 0.09/0.30 ( ! [X2 : mworld,X1 : $i] : (($true = (h @ X1 @ X2)) | ((g @ X1 @ mactual) = $false) | ($false = (mrel @ mactual @ X2)) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f74])).
% 0.09/0.30 thf(f74,plain,(
% 0.09/0.30 ( ! [X2 : mworld,X1 : $i] : (($true = ((mrel @ mactual @ X2) => (h @ X1 @ X2))) | ((g @ X1 @ mactual) = $false) | ($false = (eiw_di @ X1 @ mactual))) )),
% 0.09/0.30 inference(beta_eta_normalization,[],[f73])).
% 0.09/0.30 thf(f73,plain,(
% 0.09/0.30 ( ! [X2 : mworld,X1 : $i] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ X1 @ Y0))) @ X2)) | ($false = (eiw_di @ X1 @ mactual)) | ((g @ X1 @ mactual) = $false)) )),
% 0.09/0.30 inference(pi_clausification,[],[f72])).
% 0.09/0.30 thf(f72,plain,(
% 0.09/0.30 ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ((g @ X1 @ mactual) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ X1 @ Y0)))) = $true)) )),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f71])).
% 0.09/0.30 thf(f71,plain,(
% 0.09/0.30 ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ mactual)) | ($true = ((g @ X1 @ mactual) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ X1 @ Y0))))))) )),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f70])).
% 0.09/0.30 thf(f70,plain,(
% 0.09/0.30 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => ((g @ X1 @ mactual) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (h @ X1 @ Y0)))))) = $true)) )),
% 0.09/0.30 inference(beta_eta_normalization,[],[f69])).
% 0.09/0.30 thf(f69,plain,(
% 0.09/0.30 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((g @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1))))))) @ X1))) )),
% 0.09/0.30 inference(pi_clausification,[],[f68])).
% 0.09/0.30 thf(f68,plain,(
% 0.09/0.30 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((g @ Y0 @ mactual) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => (h @ Y0 @ Y1)))))))) = $true)),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f66])).
% 0.09/0.30 thf(f91,plain,(
% 0.09/0.30 ((h @ sK2 @ sK3) = $false)),
% 0.09/0.30 inference(binary_proxy_clausification,[],[f90])).
% 0.09/0.30 % SZS output end Proof for theBenchmark
% 0.09/0.30 % (3348)------------------------------
% 0.09/0.30 % (3348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (3348)Termination reason: Refutation
% 0.09/0.30
% 0.09/0.30 % (3348)Memory used [KB]: 5628
% 0.09/0.30 % (3348)Time elapsed: 0.008 s
% 0.09/0.30 % (3348)Instructions burned: 11 (million)
% 0.09/0.30 % (3348)------------------------------
% 0.09/0.30 % (3348)------------------------------
% 0.09/0.30 % (3345)Success in time 0.005 s
% 0.09/0.30 % Vampire---4.8 exiting
%------------------------------------------------------------------------------