TSTP Solution File: SYO001^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO001^1 : 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/sandbox2/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 09:02:10 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
% 0.11/0.12 % Problem : SYO001^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:06:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (24121)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37 % (24122)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)
% 0.14/0.37 % (24123)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)
% 0.14/0.37 % (24122)Instruction limit reached!
% 0.14/0.37 % (24122)------------------------------
% 0.14/0.37 % (24122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (24122)Termination reason: Unknown
% 0.14/0.37 % (24122)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (24122)Memory used [KB]: 895
% 0.14/0.37 % (24122)Time elapsed: 0.002 s
% 0.14/0.37 % (24122)Instructions burned: 2 (million)
% 0.14/0.37 % (24122)------------------------------
% 0.14/0.37 % (24122)------------------------------
% 0.14/0.37 % (24124)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37 % (24123)Refutation not found, incomplete strategy
% 0.14/0.37 % (24123)------------------------------
% 0.14/0.37 % (24123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (24123)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (24123)Memory used [KB]: 5500
% 0.14/0.37 % (24123)Time elapsed: 0.002 s
% 0.14/0.37 % (24123)Instructions burned: 1 (million)
% 0.14/0.37 % (24123)------------------------------
% 0.14/0.37 % (24123)------------------------------
% 0.14/0.37 % (24121)Instruction limit reached!
% 0.14/0.37 % (24121)------------------------------
% 0.14/0.37 % (24121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (24121)Termination reason: Unknown
% 0.14/0.37 % (24121)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (24121)Memory used [KB]: 5500
% 0.14/0.37 % (24121)Time elapsed: 0.003 s
% 0.14/0.37 % (24121)Instructions burned: 3 (million)
% 0.14/0.37 % (24121)------------------------------
% 0.14/0.37 % (24121)------------------------------
% 0.14/0.37 % (24119)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)
% 0.14/0.37 % (24118)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37 % (24124)First to succeed.
% 0.14/0.38 % (24125)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)
% 0.14/0.38 % (24124)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, leibeq: $i > $i > $o).
% 0.14/0.38 thf(func_def_14, type, sK4: $i > $o).
% 0.14/0.38 thf(func_def_16, type, ph5: !>[X0: $tType]:(X0)).
% 0.14/0.38 thf(f81,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f80])).
% 0.14/0.38 thf(f80,plain,(
% 0.14/0.38 ($true = $false)),
% 0.14/0.38 inference(backward_demodulation,[],[f24,f79])).
% 0.14/0.38 thf(f79,plain,(
% 0.14/0.38 ((sK4 @ sK0) = $false)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f78])).
% 0.14/0.38 thf(f78,plain,(
% 0.14/0.38 ($false = ((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ sK0))),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f57])).
% 0.14/0.38 thf(f57,plain,(
% 0.14/0.38 ($true = $false) | ($false = ((^[Y0 : $i]: (sK4 @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ sK0))),
% 0.14/0.38 inference(superposition,[],[f51,f23])).
% 0.14/0.38 thf(f23,plain,(
% 0.14/0.38 ($false = (sK4 @ sK2))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f22])).
% 0.14/0.38 thf(f22,plain,(
% 0.14/0.38 (((sK4 @ sK0) => (sK4 @ sK2)) = $false)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f21])).
% 0.14/0.38 thf(f21,plain,(
% 0.14/0.38 ($false = ((^[Y0 : $i > $o]: ((Y0 @ sK0) => (Y0 @ sK2))) @ sK4))),
% 0.14/0.38 inference(sigma_clausification,[],[f20])).
% 0.14/0.38 thf(f20,plain,(
% 0.14/0.38 ($true != (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK0) => (Y0 @ sK2)))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f18])).
% 0.14/0.38 thf(f18,plain,(
% 0.14/0.38 ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ sK0 @ sK2))),
% 0.14/0.38 inference(definition_unfolding,[],[f14,f16])).
% 0.14/0.38 thf(f16,plain,(
% 0.14/0.38 (leibeq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 0.14/0.38 inference(cnf_transformation,[],[f8])).
% 0.14/0.38 thf(f8,plain,(
% 0.14/0.38 (leibeq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (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 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))) = leibeq)),
% 0.14/0.38 inference(rectify,[],[f1])).
% 0.14/0.38 thf(f1,axiom,(
% 0.14/0.38 ((^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))) = leibeq)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leibeq)).
% 0.14/0.38 thf(f14,plain,(
% 0.14/0.38 ((leibeq @ sK0 @ sK2) != $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f12])).
% 0.14/0.38 thf(f12,plain,(
% 0.14/0.38 ($true = (leibeq @ sK0 @ sK1)) & ((leibeq @ sK0 @ sK2) != $true) & ($true = (leibeq @ sK1 @ sK2))),
% 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f11])).
% 0.14/0.38 thf(f11,plain,(
% 0.14/0.38 ? [X0,X1,X2] : (((leibeq @ X0 @ X1) = $true) & ($true != (leibeq @ X0 @ X2)) & ($true = (leibeq @ X1 @ X2))) => (($true = (leibeq @ sK0 @ sK1)) & ((leibeq @ sK0 @ sK2) != $true) & ($true = (leibeq @ sK1 @ sK2)))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f10,plain,(
% 0.14/0.38 ? [X0,X1,X2] : (((leibeq @ X0 @ X1) = $true) & ($true != (leibeq @ X0 @ X2)) & ($true = (leibeq @ X1 @ X2)))),
% 0.14/0.38 inference(flattening,[],[f9])).
% 0.14/0.38 thf(f9,plain,(
% 0.14/0.38 ? [X0,X1,X2] : (($true != (leibeq @ X0 @ X2)) & (($true = (leibeq @ X1 @ X2)) & ((leibeq @ X0 @ X1) = $true)))),
% 0.14/0.38 inference(ennf_transformation,[],[f6])).
% 0.14/0.38 thf(f6,plain,(
% 0.14/0.38 ~! [X0,X1,X2] : ((($true = (leibeq @ X1 @ X2)) & ((leibeq @ X0 @ X1) = $true)) => ($true = (leibeq @ X0 @ X2)))),
% 0.14/0.38 inference(fool_elimination,[],[f5])).
% 0.14/0.38 thf(f5,plain,(
% 0.14/0.38 ~! [X0,X1,X2] : (((leibeq @ X0 @ X1) & (leibeq @ X1 @ X2)) => (leibeq @ X0 @ X2))),
% 0.14/0.38 inference(rectify,[],[f3])).
% 0.14/0.38 thf(f3,negated_conjecture,(
% 0.14/0.38 ~! [X0,X1,X3] : (((leibeq @ X0 @ X1) & (leibeq @ X1 @ X3)) => (leibeq @ X0 @ X3))),
% 0.14/0.38 inference(negated_conjecture,[],[f2])).
% 0.14/0.38 thf(f2,conjecture,(
% 0.14/0.38 ! [X0,X1,X3] : (((leibeq @ X0 @ X1) & (leibeq @ X1 @ X3)) => (leibeq @ X0 @ X3))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.14/0.38 thf(f51,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = (X1 @ sK2)) | ($false = (X1 @ sK0))) )),
% 0.14/0.38 inference(backward_demodulation,[],[f32,f34])).
% 0.14/0.38 thf(f34,plain,(
% 0.14/0.38 (sK0 = sK1)),
% 0.14/0.38 inference(leibniz_equality_elimination,[],[f28])).
% 0.14/0.38 thf(f28,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = (X1 @ sK1)) | ($false = (X1 @ sK0))) )),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f27])).
% 0.14/0.38 thf(f27,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = ((X1 @ sK0) => (X1 @ sK1)))) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f26])).
% 0.14/0.38 thf(f26,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((Y0 @ sK0) => (Y0 @ sK1))) @ X1))) )),
% 0.14/0.38 inference(pi_clausification,[],[f25])).
% 0.14/0.38 thf(f25,plain,(
% 0.14/0.38 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK0) => (Y0 @ sK1)))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f17])).
% 0.14/0.38 thf(f17,plain,(
% 0.14/0.38 ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ sK0 @ sK1))),
% 0.14/0.38 inference(definition_unfolding,[],[f15,f16])).
% 0.14/0.38 thf(f15,plain,(
% 0.14/0.38 ($true = (leibeq @ sK0 @ sK1))),
% 0.14/0.38 inference(cnf_transformation,[],[f12])).
% 0.14/0.38 thf(f32,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = (X1 @ sK2)) | ($false = (X1 @ sK1))) )),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f31])).
% 0.14/0.38 thf(f31,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = ((X1 @ sK1) => (X1 @ sK2)))) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f30])).
% 0.14/0.38 thf(f30,plain,(
% 0.14/0.38 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((Y0 @ sK1) => (Y0 @ sK2))) @ X1))) )),
% 0.14/0.38 inference(pi_clausification,[],[f29])).
% 0.14/0.38 thf(f29,plain,(
% 0.14/0.38 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK1) => (Y0 @ sK2)))))),
% 0.14/0.38 inference(beta_eta_normalization,[],[f19])).
% 0.14/0.38 thf(f19,plain,(
% 0.14/0.38 ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ sK1 @ sK2))),
% 0.14/0.38 inference(definition_unfolding,[],[f13,f16])).
% 0.14/0.38 thf(f13,plain,(
% 0.14/0.38 ($true = (leibeq @ sK1 @ sK2))),
% 0.14/0.38 inference(cnf_transformation,[],[f12])).
% 0.14/0.38 thf(f24,plain,(
% 0.14/0.38 ($true = (sK4 @ sK0))),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f22])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (24124)------------------------------
% 0.14/0.38 % (24124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24124)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (24124)Memory used [KB]: 5500
% 0.14/0.38 % (24124)Time elapsed: 0.004 s
% 0.14/0.38 % (24124)Instructions burned: 3 (million)
% 0.14/0.38 % (24124)------------------------------
% 0.14/0.38 % (24124)------------------------------
% 0.14/0.38 % (24117)Success in time 0.015 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------