TSTP Solution File: SEU501^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU501^2 : 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 : n025.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 03:49:10 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU501^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 15:33:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.15/0.38 % (21074)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38 % (21075)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)
% 0.15/0.38 % (21076)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)
% 0.15/0.38 % (21077)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38 % (21080)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38 % (21081)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)
% 0.15/0.38 % (21078)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)
% 0.15/0.38 % (21074)First to succeed.
% 0.15/0.38 % (21079)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)
% 0.15/0.38 % (21077)Also succeeded, but the first one will report.
% 0.15/0.38 % (21078)Instruction limit reached!
% 0.15/0.38 % (21078)------------------------------
% 0.15/0.38 % (21078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (21078)Termination reason: Unknown
% 0.15/0.38 % (21078)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (21078)Memory used [KB]: 5500
% 0.15/0.38 % (21078)Time elapsed: 0.003 s
% 0.15/0.38 % (21078)Instructions burned: 2 (million)
% 0.15/0.38 % (21078)------------------------------
% 0.15/0.38 % (21078)------------------------------
% 0.15/0.38 % (21081)Refutation not found, incomplete strategy
% 0.15/0.38 % (21081)------------------------------
% 0.15/0.38 % (21081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (21081)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (21081)Memory used [KB]: 5500
% 0.15/0.38 % (21081)Time elapsed: 0.003 s
% 0.15/0.38 % (21081)Instructions burned: 1 (million)
% 0.15/0.38 % (21081)------------------------------
% 0.15/0.38 % (21081)------------------------------
% 0.15/0.38 % (21076)Also succeeded, but the first one will report.
% 0.15/0.38 % (21074)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% 0.15/0.38 thf(func_def_0, type, in: $i > $i > $o).
% 0.15/0.38 thf(f23,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f21])).
% 0.15/0.38 thf(f21,plain,(
% 0.15/0.38 ($false = $true)),
% 0.15/0.38 inference(superposition,[],[f20,f15])).
% 0.15/0.38 thf(f15,plain,(
% 0.15/0.38 ((in @ sK0 @ emptyset) = $true)),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f12,plain,(
% 0.15/0.38 (emptysetAx = $true) & (((in @ sK0 @ emptyset) = $true) & (sK1 != $true))),
% 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 0.15/0.38 thf(f10,plain,(
% 0.15/0.38 ? [X0] : (((in @ X0 @ emptyset) = $true) & ? [X1 : $o] : ($true != X1)) => (((in @ sK0 @ emptyset) = $true) & ? [X1 : $o] : ($true != X1))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f11,plain,(
% 0.15/0.38 ? [X1 : $o] : ($true != X1) => (sK1 != $true)),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f9,plain,(
% 0.15/0.38 (emptysetAx = $true) & ? [X0] : (((in @ X0 @ emptyset) = $true) & ? [X1 : $o] : ($true != X1))),
% 0.15/0.38 inference(ennf_transformation,[],[f8])).
% 0.15/0.38 thf(f8,plain,(
% 0.15/0.38 ~((emptysetAx = $true) => ! [X0] : (((in @ X0 @ emptyset) = $true) => ! [X1 : $o] : ($true = X1)))),
% 0.15/0.38 inference(fool_elimination,[],[f7])).
% 0.15/0.38 thf(f7,plain,(
% 0.15/0.38 ~(emptysetAx => ! [X0] : ((in @ X0 @ emptyset) => ! [X1 : $o] : X1))),
% 0.15/0.38 inference(rectify,[],[f3])).
% 0.15/0.38 thf(f3,negated_conjecture,(
% 0.15/0.38 ~(emptysetAx => ! [X0] : ((in @ X0 @ emptyset) => ! [X1 : $o] : X1))),
% 0.15/0.38 inference(negated_conjecture,[],[f2])).
% 0.15/0.38 thf(f2,conjecture,(
% 0.15/0.38 emptysetAx => ! [X0] : ((in @ X0 @ emptyset) => ! [X1 : $o] : X1)),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE)).
% 0.15/0.38 thf(f20,plain,(
% 0.15/0.38 ( ! [X1 : $i] : (((in @ X1 @ emptyset) = $false)) )),
% 0.15/0.38 inference(not_proxy_clausification,[],[f19])).
% 0.15/0.38 thf(f19,plain,(
% 0.15/0.38 ( ! [X1 : $i] : (($true = (~ (in @ X1 @ emptyset)))) )),
% 0.15/0.38 inference(beta_eta_normalization,[],[f18])).
% 0.15/0.38 thf(f18,plain,(
% 0.15/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (in @ Y0 @ emptyset))) @ X1) = $true)) )),
% 0.15/0.38 inference(pi_clausification,[],[f17])).
% 0.15/0.38 thf(f17,plain,(
% 0.15/0.38 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))))),
% 0.15/0.38 inference(definition_unfolding,[],[f16,f13])).
% 0.15/0.38 thf(f13,plain,(
% 0.15/0.38 (emptysetAx = (!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))))),
% 0.15/0.38 inference(cnf_transformation,[],[f6])).
% 0.15/0.38 thf(f6,plain,(
% 0.15/0.38 (emptysetAx = (!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))))),
% 0.15/0.38 inference(fool_elimination,[],[f5])).
% 0.15/0.38 thf(f5,plain,(
% 0.15/0.38 (! [X0] : ~(in @ X0 @ emptyset) = emptysetAx)),
% 0.15/0.38 inference(rectify,[],[f1])).
% 0.15/0.38 thf(f1,axiom,(
% 0.15/0.38 (! [X0] : ~(in @ X0 @ emptyset) = emptysetAx)),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx)).
% 0.15/0.38 thf(f16,plain,(
% 0.15/0.38 (emptysetAx = $true)),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 % SZS output end Proof for theBenchmark
% 0.15/0.38 % (21074)------------------------------
% 0.15/0.38 % (21074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (21074)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (21074)Memory used [KB]: 5500
% 0.15/0.38 % (21074)Time elapsed: 0.003 s
% 0.15/0.38 % (21074)Instructions burned: 2 (million)
% 0.15/0.38 % (21074)------------------------------
% 0.15/0.38 % (21074)------------------------------
% 0.15/0.38 % (21073)Success in time 0.003 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------