TSTP Solution File: SEU563^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU563^2 : TPTP v8.2.0. Released v3.7.0.
% 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 : 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 03:49:36 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU563^2 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 17:32:37 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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
% 0.14/0.38 % (7034)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)
% 0.14/0.38 % (7040)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)
% 0.14/0.38 % (7039)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (7037)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)
% 0.14/0.38 % (7034)First to succeed.
% 0.14/0.38 % (7037)Instruction limit reached!
% 0.14/0.38 % (7037)------------------------------
% 0.14/0.38 % (7037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7037)Termination reason: Unknown
% 0.14/0.38 % (7037)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (7037)Memory used [KB]: 5500
% 0.14/0.38 % (7037)Time elapsed: 0.003 s
% 0.14/0.38 % (7037)Instructions burned: 3 (million)
% 0.14/0.38 % (7037)------------------------------
% 0.14/0.38 % (7037)------------------------------
% 0.14/0.38 % (7038)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)
% 0.14/0.38 % (7040)Instruction limit reached!
% 0.14/0.38 % (7040)------------------------------
% 0.14/0.38 % (7040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7040)Termination reason: Unknown
% 0.14/0.38 % (7040)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (7040)Memory used [KB]: 5500
% 0.14/0.38 % (7040)Time elapsed: 0.004 s
% 0.14/0.38 % (7040)Instructions burned: 3 (million)
% 0.14/0.38 % (7040)------------------------------
% 0.14/0.38 % (7040)------------------------------
% 0.14/0.38 % (7036)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (7036)Instruction limit reached!
% 0.14/0.38 % (7036)------------------------------
% 0.14/0.38 % (7036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7036)Termination reason: Unknown
% 0.14/0.38 % (7036)Termination phase: Preprocessing 3
% 0.14/0.38
% 0.14/0.38 % (7036)Memory used [KB]: 895
% 0.14/0.38 % (7036)Time elapsed: 0.003 s
% 0.14/0.38 % (7036)Instructions burned: 2 (million)
% 0.14/0.38 % (7036)------------------------------
% 0.14/0.38 % (7036)------------------------------
% 0.14/0.38 % (7034)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% 0.14/0.38 thf(func_def_0, type, in: $i > $i > $o).
% 0.14/0.38 thf(func_def_4, type, subset: $i > $i > $o).
% 0.14/0.38 thf(f45,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f44])).
% 0.14/0.38 thf(f44,plain,(
% 0.14/0.38 ($false = $true)),
% 0.14/0.38 inference(backward_demodulation,[],[f40,f43])).
% 0.14/0.38 thf(f43,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($false = (in @ X1 @ emptyset))) )),
% 0.14/0.38 inference(not_proxy_clausification,[],[f42])).
% 0.14/0.38 thf(f42,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (((~ (in @ X1 @ emptyset)) = $true)) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f41])).
% 0.14/0.38 thf(f41,plain,(
% 0.14/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (in @ Y0 @ emptyset))) @ X1) = $true)) )),
% 0.14/0.38 inference(pi_clausification,[],[f29])).
% 0.14/0.38 thf(f29,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))) = $true)),
% 0.14/0.38 inference(boolean_simplification,[],[f28])).
% 0.14/0.38 thf(f28,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => $false))) = $true)),
% 0.14/0.38 inference(definition_unfolding,[],[f24,f23])).
% 0.14/0.38 thf(f23,plain,(
% 0.14/0.38 (emptysetimpfalse = $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f18])).
% 0.14/0.38 thf(f18,plain,(
% 0.14/0.38 (emptysetimpfalse = $true) & ((subset @ emptyset @ sK0) != $true) & (subsetI2 = $true)),
% 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17])).
% 0.14/0.38 thf(f17,plain,(
% 0.14/0.38 ? [X0] : ((subset @ emptyset @ X0) != $true) => ((subset @ emptyset @ sK0) != $true)),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f16,plain,(
% 0.14/0.38 (emptysetimpfalse = $true) & ? [X0] : ((subset @ emptyset @ X0) != $true) & (subsetI2 = $true)),
% 0.14/0.38 inference(flattening,[],[f15])).
% 0.14/0.38 thf(f15,plain,(
% 0.14/0.38 (? [X0] : ((subset @ emptyset @ X0) != $true) & (subsetI2 = $true)) & (emptysetimpfalse = $true)),
% 0.14/0.38 inference(ennf_transformation,[],[f14])).
% 0.14/0.38 thf(f14,plain,(
% 0.14/0.38 ~((emptysetimpfalse = $true) => ((subsetI2 = $true) => ! [X0] : ((subset @ emptyset @ X0) = $true)))),
% 0.14/0.38 inference(fool_elimination,[],[f13])).
% 0.14/0.38 thf(f13,plain,(
% 0.14/0.38 ~(emptysetimpfalse => (subsetI2 => ! [X0] : (subset @ emptyset @ X0)))),
% 0.14/0.38 inference(rectify,[],[f5])).
% 0.14/0.38 thf(f5,negated_conjecture,(
% 0.14/0.38 ~(emptysetimpfalse => (subsetI2 => ! [X1] : (subset @ emptyset @ X1)))),
% 0.14/0.38 inference(negated_conjecture,[],[f4])).
% 0.14/0.38 thf(f4,conjecture,(
% 0.14/0.38 emptysetimpfalse => (subsetI2 => ! [X1] : (subset @ emptyset @ X1))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetsubset)).
% 0.14/0.38 thf(f24,plain,(
% 0.14/0.38 (emptysetimpfalse = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => $false))))),
% 0.14/0.38 inference(cnf_transformation,[],[f10])).
% 0.14/0.38 thf(f10,plain,(
% 0.14/0.38 (emptysetimpfalse = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => $false))))),
% 0.14/0.38 inference(fool_elimination,[],[f9])).
% 0.14/0.38 thf(f9,plain,(
% 0.14/0.38 (! [X0] : ((in @ X0 @ emptyset) => $false) = emptysetimpfalse)),
% 0.14/0.38 inference(rectify,[],[f1])).
% 0.14/0.38 thf(f1,axiom,(
% 0.14/0.38 (! [X0] : ((in @ X0 @ emptyset) => $false) = emptysetimpfalse)),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse)).
% 0.14/0.38 thf(f40,plain,(
% 0.14/0.38 ($true = (in @ sK2 @ emptyset))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f38])).
% 0.14/0.38 thf(f38,plain,(
% 0.14/0.38 (((in @ sK2 @ emptyset) => (in @ sK2 @ sK0)) = $false)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f37])).
% 0.14/0.38 thf(f37,plain,(
% 0.14/0.38 ($false = ((^[Y0 : $i]: ((in @ Y0 @ emptyset) => (in @ Y0 @ sK0))) @ sK2))),
% 0.14/0.38 inference(sigma_clausification,[],[f30])).
% 0.14/0.38 thf(f30,plain,(
% 0.14/0.38 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => (in @ Y0 @ sK0)))) != $true)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f26])).
% 0.14/0.38 thf(f26,plain,(
% 0.14/0.38 (((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))) @ emptyset @ sK0) != $true)),
% 0.14/0.38 inference(definition_unfolding,[],[f22,f20])).
% 0.14/0.38 thf(f20,plain,(
% 0.14/0.38 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f8])).
% 0.14/0.38 thf(f8,plain,(
% 0.14/0.38 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))),
% 0.14/0.38 inference(fool_elimination,[],[f7])).
% 0.14/0.38 thf(f7,plain,(
% 0.14/0.38 ((^[X0 : $i, X1 : $i] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)))) = subset)),
% 0.14/0.38 inference(rectify,[],[f2])).
% 0.14/0.38 thf(f2,axiom,(
% 0.14/0.38 ((^[X1 : $i, X2 : $i] : (! [X0] : ((in @ X0 @ X1) => (in @ X0 @ X2)))) = subset)),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset)).
% 0.14/0.38 thf(f22,plain,(
% 0.14/0.38 ((subset @ emptyset @ sK0) != $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f18])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (7034)------------------------------
% 0.14/0.38 % (7034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7034)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (7034)Memory used [KB]: 5500
% 0.14/0.38 % (7034)Time elapsed: 0.004 s
% 0.14/0.38 % (7034)Instructions burned: 3 (million)
% 0.14/0.38 % (7034)------------------------------
% 0.14/0.38 % (7034)------------------------------
% 0.14/0.38 % (7032)Success in time 0.016 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------