TSTP Solution File: SYO005^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO005^1 : 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 : n010.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 09:02:11 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SYO005^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 10:30:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 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
% 0.13/0.36 % (8251)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)
% 0.13/0.36 % (8248)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)
% 0.13/0.36 % (8251)Instruction limit reached!
% 0.13/0.36 % (8251)------------------------------
% 0.13/0.36 % (8251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8251)Termination reason: Unknown
% 0.13/0.36 % (8251)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (8251)Memory used [KB]: 5500
% 0.13/0.36 % (8251)Time elapsed: 0.003 s
% 0.13/0.36 % (8251)Instructions burned: 2 (million)
% 0.13/0.36 % (8251)------------------------------
% 0.13/0.36 % (8251)------------------------------
% 0.13/0.36 % (8249)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)
% 0.13/0.36 % (8250)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.36 % (8247)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.36 % (8252)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)
% 0.13/0.36 % (8253)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.36 % (8254)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)
% 0.13/0.36 % (8250)Instruction limit reached!
% 0.13/0.36 % (8250)------------------------------
% 0.13/0.36 % (8250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8250)Termination reason: Unknown
% 0.13/0.36 % (8250)Termination phase: Property scanning
% 0.13/0.36
% 0.13/0.36 % (8250)Memory used [KB]: 895
% 0.13/0.36 % (8250)Time elapsed: 0.002 s
% 0.13/0.36 % (8250)Instructions burned: 2 (million)
% 0.13/0.36 % (8250)------------------------------
% 0.13/0.36 % (8250)------------------------------
% 0.13/0.36 % (8248)Instruction limit reached!
% 0.13/0.36 % (8248)------------------------------
% 0.13/0.36 % (8248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8248)Termination reason: Unknown
% 0.13/0.36 % (8248)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (8248)Memory used [KB]: 5500
% 0.13/0.36 % (8248)Time elapsed: 0.005 s
% 0.13/0.36 % (8248)Instructions burned: 5 (million)
% 0.13/0.36 % (8248)------------------------------
% 0.13/0.36 % (8248)------------------------------
% 0.13/0.36 % (8249)Refutation not found, incomplete strategy
% 0.13/0.36 % (8249)------------------------------
% 0.13/0.36 % (8249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8249)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36 % (8254)Refutation not found, incomplete strategy
% 0.13/0.36 % (8254)------------------------------
% 0.13/0.36 % (8254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8254)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (8254)Memory used [KB]: 5500
% 0.13/0.36 % (8254)Time elapsed: 0.002 s
% 0.13/0.36 % (8254)Instructions burned: 2 (million)
% 0.13/0.36 % (8254)------------------------------
% 0.13/0.36 % (8254)------------------------------
% 0.13/0.36
% 0.13/0.36 % (8249)Memory used [KB]: 5500
% 0.13/0.36 % (8249)Time elapsed: 0.003 s
% 0.13/0.36 % (8249)Instructions burned: 2 (million)
% 0.13/0.36 % (8249)------------------------------
% 0.13/0.36 % (8249)------------------------------
% 0.13/0.36 % (8253)First to succeed.
% 0.13/0.37 % (8252)Also succeeded, but the first one will report.
% 0.13/0.37 % (8247)Also succeeded, but the first one will report.
% 0.13/0.37 % (8253)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37 thf(func_def_0, type, leibeq1: $i > $i > $o).
% 0.13/0.37 thf(func_def_2, type, leibeq2: ($i > $i) > ($i > $i) > $o).
% 0.13/0.37 thf(func_def_11, type, sK0: $i > $i).
% 0.13/0.37 thf(func_def_12, type, sK1: $i > $i).
% 0.13/0.37 thf(func_def_15, type, sK4: $i > $o).
% 0.13/0.37 thf(func_def_17, type, ph5: !>[X0: $tType]:(X0)).
% 0.13/0.37 thf(f52,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f51])).
% 0.13/0.37 thf(f51,plain,(
% 0.13/0.37 ($true = $false)),
% 0.13/0.37 inference(backward_demodulation,[],[f26,f50])).
% 0.13/0.37 thf(f50,plain,(
% 0.13/0.37 ($false = (sK4 @ (sK0 @ sK2)))),
% 0.13/0.37 inference(backward_demodulation,[],[f25,f49])).
% 0.13/0.37 thf(f49,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (((sK0 @ X1) = (sK1 @ X1))) )),
% 0.13/0.37 inference(argument_congruence,[],[f31])).
% 0.13/0.37 thf(f31,plain,(
% 0.13/0.37 (sK0 = sK1)),
% 0.13/0.37 inference(leibniz_equality_elimination,[],[f30])).
% 0.13/0.37 thf(f30,plain,(
% 0.13/0.37 ( ! [X1 : ($i > $i) > $o] : (($true = (X1 @ sK1)) | ((X1 @ sK0) = $false)) )),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f29])).
% 0.13/0.37 thf(f29,plain,(
% 0.13/0.37 ( ! [X1 : ($i > $i) > $o] : (($true = ((X1 @ sK0) => (X1 @ sK1)))) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f28])).
% 0.13/0.37 thf(f28,plain,(
% 0.13/0.37 ( ! [X1 : ($i > $i) > $o] : (($true = ((^[Y0 : ($i > $i) > $o]: ((Y0 @ sK0) => (Y0 @ sK1))) @ X1))) )),
% 0.13/0.37 inference(pi_clausification,[],[f27])).
% 0.13/0.37 thf(f27,plain,(
% 0.13/0.37 ($true = (!! @ (($i > $i) > $o) @ (^[Y0 : ($i > $i) > $o]: ((Y0 @ sK0) => (Y0 @ sK1)))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f20])).
% 0.13/0.37 thf(f20,plain,(
% 0.13/0.37 ($true = ((^[Y0 : $i > $i]: ((^[Y1 : $i > $i]: (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ sK0 @ sK1))),
% 0.13/0.37 inference(definition_unfolding,[],[f18,f19])).
% 0.13/0.37 thf(f19,plain,(
% 0.13/0.37 (leibeq2 = (^[Y0 : $i > $i]: ((^[Y1 : $i > $i]: (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f7])).
% 0.13/0.37 thf(f7,plain,(
% 0.13/0.37 (leibeq2 = (^[Y0 : $i > $i]: ((^[Y1 : $i > $i]: (!! @ (($i > $i) > $o) @ (^[Y2 : ($i > $i) > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.13/0.37 inference(fool_elimination,[],[f6])).
% 0.13/0.37 thf(f6,plain,(
% 0.13/0.37 (leibeq2 = (^[X0 : $i > $i, X1 : $i > $i] : (! [X2 : ($i > $i) > $o] : ((X2 @ X0) => (X2 @ X1)))))),
% 0.13/0.37 inference(rectify,[],[f2])).
% 0.13/0.37 thf(f2,axiom,(
% 0.13/0.37 (leibeq2 = (^[X3 : $i > $i, X4 : $i > $i] : (! [X5 : ($i > $i) > $o] : ((X5 @ X3) => (X5 @ X4)))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leibeq2)).
% 0.13/0.37 thf(f18,plain,(
% 0.13/0.37 ($true = (leibeq2 @ sK0 @ sK1))),
% 0.13/0.37 inference(cnf_transformation,[],[f15])).
% 0.13/0.37 thf(f15,plain,(
% 0.13/0.37 ($true = (leibeq2 @ sK0 @ sK1)) & ($true != (leibeq1 @ (sK0 @ sK2) @ (sK1 @ sK2)))),
% 0.13/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f14,f13])).
% 0.13/0.37 thf(f13,plain,(
% 0.13/0.37 ? [X0 : $i > $i,X1 : $i > $i] : (($true = (leibeq2 @ X0 @ X1)) & ? [X2] : ($true != (leibeq1 @ (X0 @ X2) @ (X1 @ X2)))) => (($true = (leibeq2 @ sK0 @ sK1)) & ? [X2] : ($true != (leibeq1 @ (sK0 @ X2) @ (sK1 @ X2))))),
% 0.13/0.37 introduced(choice_axiom,[])).
% 0.13/0.37 thf(f14,plain,(
% 0.13/0.37 ? [X2] : ($true != (leibeq1 @ (sK0 @ X2) @ (sK1 @ X2))) => ($true != (leibeq1 @ (sK0 @ sK2) @ (sK1 @ sK2)))),
% 0.13/0.37 introduced(choice_axiom,[])).
% 0.13/0.37 thf(f12,plain,(
% 0.13/0.37 ? [X0 : $i > $i,X1 : $i > $i] : (($true = (leibeq2 @ X0 @ X1)) & ? [X2] : ($true != (leibeq1 @ (X0 @ X2) @ (X1 @ X2))))),
% 0.13/0.37 inference(ennf_transformation,[],[f11])).
% 0.13/0.37 thf(f11,plain,(
% 0.13/0.37 ~! [X0 : $i > $i,X1 : $i > $i] : (($true = (leibeq2 @ X0 @ X1)) => ! [X2] : ($true = (leibeq1 @ (X0 @ X2) @ (X1 @ X2))))),
% 0.13/0.37 inference(fool_elimination,[],[f10])).
% 0.13/0.37 thf(f10,plain,(
% 0.13/0.37 ~! [X0 : $i > $i,X1 : $i > $i] : ((leibeq2 @ X0 @ X1) => ! [X2] : (leibeq1 @ (X0 @ X2) @ (X1 @ X2)))),
% 0.13/0.37 inference(rectify,[],[f4])).
% 0.13/0.37 thf(f4,negated_conjecture,(
% 0.13/0.37 ~! [X6 : $i > $i,X7 : $i > $i] : ((leibeq2 @ X6 @ X7) => ! [X3] : (leibeq1 @ (X6 @ X3) @ (X7 @ X3)))),
% 0.13/0.37 inference(negated_conjecture,[],[f3])).
% 0.13/0.37 thf(f3,conjecture,(
% 0.13/0.37 ! [X6 : $i > $i,X7 : $i > $i] : ((leibeq2 @ X6 @ X7) => ! [X3] : (leibeq1 @ (X6 @ X3) @ (X7 @ X3)))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.13/0.37 thf(f25,plain,(
% 0.13/0.37 ($false = (sK4 @ (sK1 @ sK2)))),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f24])).
% 0.13/0.37 thf(f24,plain,(
% 0.13/0.37 ($false = ((sK4 @ (sK0 @ sK2)) => (sK4 @ (sK1 @ sK2))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f23])).
% 0.13/0.37 thf(f23,plain,(
% 0.13/0.37 (((^[Y0 : $i > $o]: ((Y0 @ (sK0 @ sK2)) => (Y0 @ (sK1 @ sK2)))) @ sK4) = $false)),
% 0.13/0.37 inference(sigma_clausification,[],[f22])).
% 0.13/0.37 thf(f22,plain,(
% 0.13/0.37 ($true != (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK0 @ sK2)) => (Y0 @ (sK1 @ sK2))))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f21])).
% 0.13/0.37 thf(f21,plain,(
% 0.13/0.37 ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ (sK0 @ sK2) @ (sK1 @ sK2)))),
% 0.13/0.37 inference(definition_unfolding,[],[f17,f16])).
% 0.13/0.37 thf(f16,plain,(
% 0.13/0.37 (leibeq1 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f9])).
% 0.13/0.37 thf(f9,plain,(
% 0.13/0.37 (leibeq1 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.13/0.37 inference(fool_elimination,[],[f8])).
% 0.13/0.37 thf(f8,plain,(
% 0.13/0.37 (leibeq1 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))))),
% 0.13/0.37 inference(rectify,[],[f1])).
% 0.13/0.37 thf(f1,axiom,(
% 0.13/0.37 (leibeq1 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leibeq1)).
% 0.13/0.37 thf(f17,plain,(
% 0.13/0.37 ($true != (leibeq1 @ (sK0 @ sK2) @ (sK1 @ sK2)))),
% 0.13/0.37 inference(cnf_transformation,[],[f15])).
% 0.13/0.37 thf(f26,plain,(
% 0.13/0.37 ($true = (sK4 @ (sK0 @ sK2)))),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f24])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (8253)------------------------------
% 0.13/0.37 % (8253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (8253)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (8253)Memory used [KB]: 5500
% 0.13/0.37 % (8253)Time elapsed: 0.004 s
% 0.13/0.37 % (8253)Instructions burned: 3 (million)
% 0.13/0.37 % (8253)------------------------------
% 0.13/0.37 % (8253)------------------------------
% 0.13/0.37 % (8246)Success in time 0.004 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------