TSTP Solution File: SYO536^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO536^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 09:06:08 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO536^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 08:57:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (6019)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (6021)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)
% 0.14/0.37 % (6022)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (6024)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)
% 0.22/0.37 % (6022)Instruction limit reached!
% 0.22/0.37 % (6022)------------------------------
% 0.22/0.37 % (6022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (6022)Termination reason: Unknown
% 0.22/0.37 % (6022)Termination phase: shuffling
% 0.22/0.37
% 0.22/0.37 % (6022)Memory used [KB]: 895
% 0.22/0.37 % (6022)Time elapsed: 0.003 s
% 0.22/0.37 % (6022)Instructions burned: 2 (million)
% 0.22/0.37 % (6022)------------------------------
% 0.22/0.37 % (6022)------------------------------
% 0.22/0.37 % (6024)Refutation not found, incomplete strategy
% 0.22/0.37 % (6024)------------------------------
% 0.22/0.37 % (6024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (6024)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37
% 0.22/0.37 % (6024)Memory used [KB]: 5500
% 0.22/0.37 % (6024)Time elapsed: 0.004 s
% 0.22/0.37 % (6024)Instructions burned: 2 (million)
% 0.22/0.37 % (6024)------------------------------
% 0.22/0.37 % (6024)------------------------------
% 0.22/0.38 % (6026)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38 % (6021)First to succeed.
% 0.22/0.38 % (6023)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 % (6023)Instruction limit reached!
% 0.22/0.38 % (6023)------------------------------
% 0.22/0.38 % (6023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (6023)Termination reason: Unknown
% 0.22/0.38 % (6023)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (6023)Memory used [KB]: 895
% 0.22/0.38 % (6023)Time elapsed: 0.003 s
% 0.22/0.38 % (6023)Instructions burned: 2 (million)
% 0.22/0.38 % (6023)------------------------------
% 0.22/0.38 % (6023)------------------------------
% 0.22/0.38 % (6025)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 % (6026)Instruction limit reached!
% 0.22/0.38 % (6026)------------------------------
% 0.22/0.38 % (6026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (6026)Termination reason: Unknown
% 0.22/0.38 % (6026)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (6026)Memory used [KB]: 5500
% 0.22/0.38 % (6026)Time elapsed: 0.004 s
% 0.22/0.38 % (6026)Instructions burned: 3 (million)
% 0.22/0.38 % (6026)------------------------------
% 0.22/0.38 % (6026)------------------------------
% 0.22/0.38 % (6021)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% 0.22/0.38 thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.22/0.38 thf(func_def_2, type, epsii: (($i > $i) > $o) > $i > $i).
% 0.22/0.38 thf(func_def_3, type, epsa: (($i > $i) > $i > $o) > $i > $i).
% 0.22/0.38 thf(func_def_4, type, epsb: (($i > $i) > $i > $o) > $i).
% 0.22/0.38 thf(func_def_5, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.22/0.38 thf(func_def_13, type, sK0: ($i > $i) > $i > $o).
% 0.22/0.38 thf(func_def_14, type, sK1: $i > $i).
% 0.22/0.38 thf(func_def_17, type, ph4: !>[X0: $tType]:(X0)).
% 0.22/0.38 thf(f78,plain,(
% 0.22/0.38 $false),
% 0.22/0.38 inference(avatar_sat_refutation,[],[f53,f57,f58,f77])).
% 0.22/0.38 thf(f77,plain,(
% 0.22/0.38 spl3_2 | ~spl3_3),
% 0.22/0.38 inference(avatar_split_clause,[],[f76,f47,f43])).
% 0.22/0.38 thf(f43,plain,(
% 0.22/0.38 spl3_2 <=> ! [X2,X1 : $i > $i] : ($false = (sK0 @ X1 @ X2))),
% 0.22/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
% 0.22/0.38 thf(f47,plain,(
% 0.22/0.38 spl3_3 <=> ! [X1] : ($false = (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ X1))),
% 0.22/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.22/0.38 thf(f76,plain,(
% 0.22/0.38 ( ! [X2 : $i,X1 : $i > $i] : (($false = (sK0 @ X1 @ X2))) ) | ~spl3_3),
% 0.22/0.38 inference(trivial_inequality_removal,[],[f75])).
% 0.22/0.38 thf(f75,plain,(
% 0.22/0.38 ( ! [X2 : $i,X1 : $i > $i] : (($false = $true) | ($false = (sK0 @ X1 @ X2))) ) | ~spl3_3),
% 0.22/0.38 inference(forward_demodulation,[],[f74,f48])).
% 0.22/0.38 thf(f48,plain,(
% 0.22/0.38 ( ! [X1 : $i] : (($false = (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ X1))) ) | ~spl3_3),
% 0.22/0.38 inference(avatar_component_clause,[],[f47])).
% 0.22/0.38 thf(f74,plain,(
% 0.22/0.38 ( ! [X2 : $i,X1 : $i > $i] : (((sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ sK7) = $true) | ($false = (sK0 @ X1 @ X2))) )),
% 0.22/0.38 inference(pi_clausification,[],[f73])).
% 0.22/0.38 thf(f73,plain,(
% 0.22/0.38 ( ! [X1 : $i > $i] : (($false = (?? @ $i @ (sK0 @ X1))) | ((sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ sK7) = $true)) )),
% 0.22/0.38 inference(sigma_clausification,[],[f72])).
% 0.22/0.38 thf(f72,plain,(
% 0.22/0.38 ( ! [X1 : $i > $i] : (((?? @ $i @ (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))))) = $true) | ($false = (?? @ $i @ (sK0 @ X1)))) )),
% 0.22/0.38 inference(beta_eta_normalization,[],[f69])).
% 0.22/0.38 thf(f69,plain,(
% 0.22/0.38 ( ! [X1 : $i > $i] : ((((^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0))) @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0))))) = $true) | ($false = ((^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0))) @ X1))) )),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f58,plain,(
% 0.22/0.38 ~spl3_4),
% 0.22/0.38 inference(avatar_split_clause,[],[f32,f50])).
% 0.22/0.38 thf(f50,plain,(
% 0.22/0.38 spl3_4 <=> ($true = (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ (eps @ (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0))))))))),
% 0.22/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
% 0.22/0.38 thf(f32,plain,(
% 0.22/0.38 ($true != (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ (eps @ (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0))))))))),
% 0.22/0.38 inference(beta_eta_normalization,[],[f31])).
% 0.22/0.38 thf(f31,plain,(
% 0.22/0.38 ((sK0 @ ((^[Y0 : ($i > $i) > $i > $o]: (epsii @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ sK0) @ ((^[Y0 : ($i > $i) > $i > $o]: (eps @ (^[Y1 : $i]: (Y0 @ ((^[Y2 : ($i > $i) > $i > $o]: (epsii @ (^[Y3 : $i > $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))) @ sK0)) != $true)),
% 0.22/0.38 inference(definition_unfolding,[],[f27,f25,f30])).
% 0.22/0.38 thf(f30,plain,(
% 0.22/0.38 (epsb = (^[Y0 : ($i > $i) > $i > $o]: (eps @ (^[Y1 : $i]: (Y0 @ ((^[Y2 : ($i > $i) > $i > $o]: (epsii @ (^[Y3 : $i > $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))))),
% 0.22/0.38 inference(definition_unfolding,[],[f29,f25])).
% 0.22/0.38 thf(f29,plain,(
% 0.22/0.38 (epsb = (^[Y0 : ($i > $i) > $i > $o]: (eps @ (^[Y1 : $i]: (Y0 @ (epsa @ Y0) @ Y1)))))),
% 0.22/0.38 inference(cnf_transformation,[],[f9])).
% 0.22/0.38 thf(f9,plain,(
% 0.22/0.38 (epsb = (^[Y0 : ($i > $i) > $i > $o]: (eps @ (^[Y1 : $i]: (Y0 @ (epsa @ Y0) @ Y1)))))),
% 0.22/0.38 inference(fool_elimination,[],[f8])).
% 0.22/0.38 thf(f8,plain,(
% 0.22/0.38 ((^[X0 : ($i > $i) > $i > $o] : (eps @ (^[X1 : $i] : (X0 @ (epsa @ X0) @ X1)))) = epsb)),
% 0.22/0.38 inference(rectify,[],[f4])).
% 0.22/0.38 thf(f4,axiom,(
% 0.22/0.38 ((^[X2 : ($i > $i) > $i > $o] : (eps @ (^[X3 : $i] : (X2 @ (epsa @ X2) @ X3)))) = epsb)),
% 0.22/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epsbd)).
% 0.22/0.38 thf(f25,plain,(
% 0.22/0.38 (epsa = (^[Y0 : ($i > $i) > $i > $o]: (epsii @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.38 inference(cnf_transformation,[],[f13])).
% 0.22/0.38 thf(f13,plain,(
% 0.22/0.38 (epsa = (^[Y0 : ($i > $i) > $i > $o]: (epsii @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.38 inference(fool_elimination,[],[f12])).
% 0.22/0.38 thf(f12,plain,(
% 0.22/0.38 (epsa = (^[X0 : ($i > $i) > $i > $o] : (epsii @ (^[X1 : $i > $i] : (? [X2] : (X0 @ X1 @ X2))))))),
% 0.22/0.38 inference(rectify,[],[f3])).
% 0.22/0.38 thf(f3,axiom,(
% 0.22/0.38 (epsa = (^[X2 : ($i > $i) > $i > $o] : (epsii @ (^[X1 : $i > $i] : (? [X3] : (X2 @ X1 @ X3))))))),
% 0.22/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epsad)).
% 0.22/0.38 thf(f27,plain,(
% 0.22/0.38 ((sK0 @ (epsa @ sK0) @ (epsb @ sK0)) != $true)),
% 0.22/0.38 inference(cnf_transformation,[],[f23])).
% 0.22/0.38 thf(f23,plain,(
% 0.22/0.38 ((sK0 @ (epsa @ sK0) @ (epsb @ sK0)) != $true) & ((sK0 @ sK1 @ sK2) = $true)),
% 0.22/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f22,f21])).
% 0.22/0.38 thf(f21,plain,(
% 0.22/0.38 ? [X0 : ($i > $i) > $i > $o] : (((X0 @ (epsa @ X0) @ (epsb @ X0)) != $true) & ? [X1 : $i > $i,X2] : ((X0 @ X1 @ X2) = $true)) => (((sK0 @ (epsa @ sK0) @ (epsb @ sK0)) != $true) & ? [X2,X1 : $i > $i] : ($true = (sK0 @ X1 @ X2)))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f22,plain,(
% 0.22/0.38 ? [X2,X1 : $i > $i] : ($true = (sK0 @ X1 @ X2)) => ((sK0 @ sK1 @ sK2) = $true)),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f18,plain,(
% 0.22/0.38 ? [X0 : ($i > $i) > $i > $o] : (((X0 @ (epsa @ X0) @ (epsb @ X0)) != $true) & ? [X1 : $i > $i,X2] : ((X0 @ X1 @ X2) = $true))),
% 0.22/0.38 inference(ennf_transformation,[],[f17])).
% 0.22/0.38 thf(f17,plain,(
% 0.22/0.38 ~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i > $i,X2] : ((X0 @ X1 @ X2) = $true) => ((X0 @ (epsa @ X0) @ (epsb @ X0)) = $true))),
% 0.22/0.38 inference(fool_elimination,[],[f16])).
% 0.22/0.38 thf(f16,plain,(
% 0.22/0.38 ~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i > $i,X2] : (X0 @ X1 @ X2) => (X0 @ (epsa @ X0) @ (epsb @ X0)))),
% 0.22/0.38 inference(rectify,[],[f6])).
% 0.22/0.38 thf(f6,negated_conjecture,(
% 0.22/0.38 ~! [X2 : ($i > $i) > $i > $o] : (? [X1 : $i > $i,X3] : (X2 @ X1 @ X3) => (X2 @ (epsa @ X2) @ (epsb @ X2)))),
% 0.22/0.38 inference(negated_conjecture,[],[f5])).
% 0.22/0.38 thf(f5,conjecture,(
% 0.22/0.38 ! [X2 : ($i > $i) > $i > $o] : (? [X1 : $i > $i,X3] : (X2 @ X1 @ X3) => (X2 @ (epsa @ X2) @ (epsb @ X2)))),
% 0.22/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.38 thf(f57,plain,(
% 0.22/0.38 ~spl3_2),
% 0.22/0.38 inference(avatar_contradiction_clause,[],[f56])).
% 0.22/0.38 thf(f56,plain,(
% 0.22/0.38 $false | ~spl3_2),
% 0.22/0.38 inference(trivial_inequality_removal,[],[f54])).
% 0.22/0.38 thf(f54,plain,(
% 0.22/0.38 ($false = $true) | ~spl3_2),
% 0.22/0.38 inference(backward_demodulation,[],[f26,f44])).
% 0.22/0.38 thf(f44,plain,(
% 0.22/0.38 ( ! [X2 : $i,X1 : $i > $i] : (($false = (sK0 @ X1 @ X2))) ) | ~spl3_2),
% 0.22/0.38 inference(avatar_component_clause,[],[f43])).
% 0.22/0.38 thf(f26,plain,(
% 0.22/0.38 ((sK0 @ sK1 @ sK2) = $true)),
% 0.22/0.38 inference(cnf_transformation,[],[f23])).
% 0.22/0.38 thf(f53,plain,(
% 0.22/0.38 spl3_3 | spl3_4),
% 0.22/0.38 inference(avatar_split_clause,[],[f34,f50,f47])).
% 0.22/0.38 thf(f34,plain,(
% 0.22/0.38 ( ! [X1 : $i] : (($true = (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ (eps @ (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))))))) | ($false = (sK0 @ (epsii @ (^[Y0 : $i > $i]: (?? @ $i @ (sK0 @ Y0)))) @ X1))) )),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 % SZS output end Proof for theBenchmark
% 0.22/0.38 % (6021)------------------------------
% 0.22/0.38 % (6021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (6021)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (6021)Memory used [KB]: 5500
% 0.22/0.38 % (6021)Time elapsed: 0.007 s
% 0.22/0.38 % (6021)Instructions burned: 4 (million)
% 0.22/0.38 % (6021)------------------------------
% 0.22/0.38 % (6021)------------------------------
% 0.22/0.38 % (6018)Success in time 0.004 s
% 0.22/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------