TSTP Solution File: SEU562^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU562^2 : 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 : n017.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 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU562^2 : TPTP v8.2.0. Released v3.7.0.
% 0.02/0.10 % 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
% 0.10/0.30 % Computer : n017.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 17:18:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.31 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
% 0.16/0.32 % (21876)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.16/0.32 % (21875)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)
% 0.16/0.32 % (21874)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)
% 0.16/0.32 % (21874)First to succeed.
% 0.16/0.33 % (21874)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% 0.16/0.33 thf(func_def_0, type, in: $i > $i > $o).
% 0.16/0.33 thf(func_def_1, type, subset: $i > $i > $o).
% 0.16/0.33 thf(f20,plain,(
% 0.16/0.33 $false),
% 0.16/0.33 inference(trivial_inequality_removal,[],[f19])).
% 0.16/0.33 thf(f19,plain,(
% 0.16/0.33 ($false = $true)),
% 0.16/0.33 inference(boolean_simplification,[],[f18])).
% 0.16/0.33 thf(f18,plain,(
% 0.16/0.33 ($true = (~ $true))),
% 0.16/0.33 inference(boolean_simplification,[],[f17])).
% 0.16/0.33 thf(f17,plain,(
% 0.16/0.33 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0))))))))))))),
% 0.16/0.33 inference(beta_eta_normalization,[],[f16])).
% 0.16/0.33 thf(f16,plain,(
% 0.16/0.33 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => (in @ Y4 @ Y3))))))) @ Y1 @ Y0)))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => (in @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))))),
% 0.16/0.33 inference(definition_unfolding,[],[f12,f15,f13])).
% 0.16/0.33 thf(f13,plain,(
% 0.16/0.33 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))),
% 0.16/0.33 inference(cnf_transformation,[],[f11])).
% 0.16/0.33 thf(f11,plain,(
% 0.16/0.33 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))),
% 0.16/0.33 inference(fool_elimination,[],[f10])).
% 0.16/0.33 thf(f10,plain,(
% 0.16/0.33 ((^[X0 : $i, X1 : $i] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)))) = subset)),
% 0.16/0.33 inference(rectify,[],[f1])).
% 0.16/0.33 thf(f1,axiom,(
% 0.16/0.33 ((^[X0 : $i, X1 : $i] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)))) = subset)),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset)).
% 0.16/0.33 thf(f15,plain,(
% 0.16/0.33 (subsetI1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => (in @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 0.16/0.33 inference(definition_unfolding,[],[f14,f13])).
% 0.16/0.33 thf(f14,plain,(
% 0.16/0.33 (subsetI1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0)))))))),
% 0.16/0.33 inference(cnf_transformation,[],[f7])).
% 0.16/0.33 thf(f7,plain,(
% 0.16/0.33 (subsetI1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0)))))))),
% 0.16/0.33 inference(fool_elimination,[],[f6])).
% 0.16/0.33 thf(f6,plain,(
% 0.16/0.33 (subsetI1 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.16/0.33 inference(rectify,[],[f2])).
% 0.16/0.33 thf(f2,axiom,(
% 0.16/0.33 (subsetI1 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1)).
% 0.16/0.33 thf(f12,plain,(
% 0.16/0.33 ($true = (~ (subsetI1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0)))))))))),
% 0.16/0.33 inference(cnf_transformation,[],[f9])).
% 0.16/0.33 thf(f9,plain,(
% 0.16/0.33 ($true = (~ (subsetI1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0)))))))))),
% 0.16/0.33 inference(fool_elimination,[],[f8])).
% 0.16/0.33 thf(f8,plain,(
% 0.16/0.33 ~(subsetI1 => ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.16/0.33 inference(rectify,[],[f4])).
% 0.16/0.33 thf(f4,negated_conjecture,(
% 0.16/0.33 ~(subsetI1 => ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 0.16/0.33 inference(negated_conjecture,[],[f3])).
% 0.16/0.33 thf(f3,conjecture,(
% 0.16/0.33 subsetI1 => ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1))),
% 0.16/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2)).
% 0.16/0.33 % SZS output end Proof for theBenchmark
% 0.16/0.33 % (21874)------------------------------
% 0.16/0.33 % (21874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (21874)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (21874)Memory used [KB]: 5500
% 0.16/0.33 % (21874)Time elapsed: 0.003 s
% 0.16/0.33 % (21874)Instructions burned: 1 (million)
% 0.16/0.33 % (21874)------------------------------
% 0.16/0.33 % (21874)------------------------------
% 0.16/0.33 % (21869)Success in time 0.015 s
% 0.16/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------