TSTP Solution File: SEU504^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU504^2 : 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 : n005.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 03:49:12 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU504^2 : TPTP v8.2.0. Released v3.7.0.
% 0.15/0.15 % 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
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 17:57:23 EDT 2024
% 0.22/0.37 % CPUTime :
% 0.22/0.37 This is a TH0_THM_EQU_NAR problem
% 0.22/0.37 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
% 0.22/0.39 % (12709)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.39 % (12706)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.22/0.39 % (12708)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)
% 0.22/0.39 % (12707)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)
% 0.22/0.39 % (12710)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)
% 0.22/0.39 % (12712)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.22/0.39 % (12713)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)
% 0.22/0.39 % (12709)Instruction limit reached!
% 0.22/0.39 % (12709)------------------------------
% 0.22/0.39 % (12709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12709)Termination reason: Unknown
% 0.22/0.39 % (12709)Termination phase: Preprocessing 3
% 0.22/0.39
% 0.22/0.39 % (12710)Instruction limit reached!
% 0.22/0.39 % (12710)------------------------------
% 0.22/0.39 % (12710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12710)Termination reason: Unknown
% 0.22/0.39 % (12710)Termination phase: Function definition elimination
% 0.22/0.39
% 0.22/0.39 % (12710)Memory used [KB]: 895
% 0.22/0.39 % (12710)Time elapsed: 0.003 s
% 0.22/0.39 % (12710)Instructions burned: 2 (million)
% 0.22/0.39 % (12710)------------------------------
% 0.22/0.39 % (12710)------------------------------
% 0.22/0.39 % (12709)Memory used [KB]: 895
% 0.22/0.39 % (12709)Time elapsed: 0.003 s
% 0.22/0.39 % (12709)Instructions burned: 2 (million)
% 0.22/0.39 % (12709)------------------------------
% 0.22/0.39 % (12709)------------------------------
% 0.22/0.39 % (12713)Instruction limit reached!
% 0.22/0.39 % (12713)------------------------------
% 0.22/0.39 % (12713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12713)Termination reason: Unknown
% 0.22/0.39 % (12713)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (12713)Memory used [KB]: 5500
% 0.22/0.39 % (12713)Time elapsed: 0.003 s
% 0.22/0.39 % (12713)Instructions burned: 3 (million)
% 0.22/0.39 % (12713)------------------------------
% 0.22/0.39 % (12713)------------------------------
% 0.22/0.39 % (12708)First to succeed.
% 0.22/0.39 % (12707)Instruction limit reached!
% 0.22/0.39 % (12707)------------------------------
% 0.22/0.39 % (12707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (12707)Termination reason: Unknown
% 0.22/0.39 % (12707)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (12707)Memory used [KB]: 5500
% 0.22/0.39 % (12707)Time elapsed: 0.005 s
% 0.22/0.39 % (12707)Instructions burned: 4 (million)
% 0.22/0.39 % (12707)------------------------------
% 0.22/0.39 % (12707)------------------------------
% 0.22/0.39 % (12706)Also succeeded, but the first one will report.
% 0.22/0.39 % (12711)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)
% 0.22/0.40 % (12708)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% 0.22/0.40 thf(func_def_0, type, exu: ($i > $o) > $o).
% 0.22/0.40 thf(func_def_3, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.22/0.40 thf(func_def_15, type, sK0: $i > $o).
% 0.22/0.40 thf(f38,plain,(
% 0.22/0.40 $false),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f37])).
% 0.22/0.40 thf(f37,plain,(
% 0.22/0.40 ($true != $true)),
% 0.22/0.40 inference(superposition,[],[f19,f32])).
% 0.22/0.40 thf(f32,plain,(
% 0.22/0.40 ((sK0 @ sK2) = $true)),
% 0.22/0.40 inference(binary_proxy_clausification,[],[f30])).
% 0.22/0.40 thf(f30,plain,(
% 0.22/0.40 ($true = ((sK0 @ sK2) & (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK2 = Y0))))))),
% 0.22/0.40 inference(beta_eta_normalization,[],[f29])).
% 0.22/0.40 thf(f29,plain,(
% 0.22/0.40 ($true = ((^[Y0 : $i]: ((sK0 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))))) @ sK2))),
% 0.22/0.40 inference(sigma_clausification,[],[f28])).
% 0.22/0.40 thf(f28,plain,(
% 0.22/0.40 ($true = (?? @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1))))))))),
% 0.22/0.40 inference(beta_eta_normalization,[],[f22])).
% 0.22/0.40 thf(f22,plain,(
% 0.22/0.40 ($true = ((^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))))))) @ (^[Y0 : $i]: (sK0 @ Y0))))),
% 0.22/0.40 inference(definition_unfolding,[],[f20,f17])).
% 0.22/0.40 thf(f17,plain,(
% 0.22/0.40 (exu = (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))))))))),
% 0.22/0.40 inference(cnf_transformation,[],[f11])).
% 0.22/0.40 thf(f11,plain,(
% 0.22/0.40 (exu = (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))))))))),
% 0.22/0.40 inference(fool_elimination,[],[f10])).
% 0.22/0.40 thf(f10,plain,(
% 0.22/0.40 ((^[X0 : $i > $o] : (? [X1] : (! [X2] : ((X0 @ X2) => (X1 = X2)) & (X0 @ X1)))) = exu)),
% 0.22/0.40 inference(rectify,[],[f1])).
% 0.22/0.40 thf(f1,axiom,(
% 0.22/0.40 ((^[X0 : $i > $o] : (? [X1] : (! [X2] : ((X0 @ X2) => (X1 = X2)) & (X0 @ X1)))) = exu)),
% 0.22/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu)).
% 0.22/0.40 thf(f20,plain,(
% 0.22/0.40 ($true = (exu @ (^[Y0 : $i]: (sK0 @ Y0))))),
% 0.22/0.40 inference(cnf_transformation,[],[f15])).
% 0.22/0.40 thf(f15,plain,(
% 0.22/0.40 (($true = (exu @ (^[Y0 : $i]: (sK0 @ Y0)))) & ! [X1] : ((sK0 @ X1) != $true)) & (exuE1 = $true)),
% 0.22/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14])).
% 0.22/0.40 thf(f14,plain,(
% 0.22/0.40 ? [X0 : $i > $o] : (((exu @ (^[Y0 : $i]: (X0 @ Y0))) = $true) & ! [X1] : ((X0 @ X1) != $true)) => (($true = (exu @ (^[Y0 : $i]: (sK0 @ Y0)))) & ! [X1] : ((sK0 @ X1) != $true))),
% 0.22/0.40 introduced(choice_axiom,[])).
% 0.22/0.40 thf(f13,plain,(
% 0.22/0.40 ? [X0 : $i > $o] : (((exu @ (^[Y0 : $i]: (X0 @ Y0))) = $true) & ! [X1] : ((X0 @ X1) != $true)) & (exuE1 = $true)),
% 0.22/0.40 inference(ennf_transformation,[],[f12])).
% 0.22/0.40 thf(f12,plain,(
% 0.22/0.40 ~((exuE1 = $true) => ! [X0 : $i > $o] : (((exu @ (^[Y0 : $i]: (X0 @ Y0))) = $true) => ? [X1] : ((X0 @ X1) = $true)))),
% 0.22/0.40 inference(rectify,[],[f9])).
% 0.22/0.40 thf(f9,plain,(
% 0.22/0.40 ~((exuE1 = $true) => ! [X0 : $i > $o] : (((exu @ (^[Y0 : $i]: (X0 @ Y0))) = $true) => ? [X2] : ((X0 @ X2) = $true)))),
% 0.22/0.40 inference(fool_elimination,[],[f8])).
% 0.22/0.40 thf(f8,plain,(
% 0.22/0.40 ~(exuE1 => ! [X0 : $i > $o] : ((exu @ (^[X1 : $i] : (X0 @ X1))) => ? [X2] : (X0 @ X2)))),
% 0.22/0.40 inference(rectify,[],[f4])).
% 0.22/0.40 thf(f4,negated_conjecture,(
% 0.22/0.40 ~(exuE1 => ! [X0 : $i > $o] : ((exu @ (^[X1 : $i] : (X0 @ X1))) => ? [X1] : (X0 @ X1)))),
% 0.22/0.40 inference(negated_conjecture,[],[f3])).
% 0.22/0.40 thf(f3,conjecture,(
% 0.22/0.40 exuE1 => ! [X0 : $i > $o] : ((exu @ (^[X1 : $i] : (X0 @ X1))) => ? [X1] : (X0 @ X1))),
% 0.22/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e)).
% 0.22/0.40 thf(f19,plain,(
% 0.22/0.40 ( ! [X1 : $i] : (((sK0 @ X1) != $true)) )),
% 0.22/0.40 inference(cnf_transformation,[],[f15])).
% 0.22/0.40 % SZS output end Proof for theBenchmark
% 0.22/0.40 % (12708)------------------------------
% 0.22/0.40 % (12708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12708)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (12708)Memory used [KB]: 5500
% 0.22/0.40 % (12708)Time elapsed: 0.005 s
% 0.22/0.40 % (12708)Instructions burned: 3 (million)
% 0.22/0.40 % (12708)------------------------------
% 0.22/0.40 % (12708)------------------------------
% 0.22/0.40 % (12705)Success in time 0.004 s
% 0.22/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------