TSTP Solution File: SYO011^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO011^1 : 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 : n015.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 09:02:12 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
% 0.10/0.13 % Problem : SYO011^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.15 % 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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:06:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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
% 0.14/0.38 % (24394)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)
% 0.14/0.38 % (24396)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 % (24395)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38 % (24394)Refutation not found, incomplete strategy
% 0.14/0.38 % (24394)------------------------------
% 0.14/0.38 % (24394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24394)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (24394)Memory used [KB]: 5500
% 0.14/0.38 % (24394)Time elapsed: 0.003 s
% 0.14/0.38 % (24394)Instructions burned: 1 (million)
% 0.14/0.38 % (24394)------------------------------
% 0.14/0.38 % (24394)------------------------------
% 0.14/0.38 % (24396)Refutation not found, incomplete strategy
% 0.14/0.38 % (24396)------------------------------
% 0.14/0.38 % (24396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24396)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (24396)Memory used [KB]: 5500
% 0.14/0.38 % (24396)Time elapsed: 0.003 s
% 0.14/0.38 % (24396)Instructions burned: 2 (million)
% 0.14/0.38 % (24396)------------------------------
% 0.14/0.38 % (24396)------------------------------
% 0.14/0.38 % (24392)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (24395)First to succeed.
% 0.14/0.38 % (24391)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)
% 0.14/0.38 % (24392)Instruction limit reached!
% 0.14/0.38 % (24392)------------------------------
% 0.14/0.38 % (24392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24392)Termination reason: Unknown
% 0.14/0.38 % (24392)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (24392)Memory used [KB]: 5500
% 0.14/0.38 % (24392)Time elapsed: 0.004 s
% 0.14/0.38 % (24392)Instructions burned: 2 (million)
% 0.14/0.38 % (24392)------------------------------
% 0.14/0.38 % (24392)------------------------------
% 0.14/0.38 % (24395)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 > $o).
% 0.14/0.38 thf(func_def_2, type, p: ($i > $i) > $o).
% 0.14/0.38 thf(func_def_3, type, f: $i > $i).
% 0.14/0.38 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 0.14/0.38 thf(f56,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f55])).
% 0.14/0.38 thf(f55,plain,(
% 0.14/0.38 (sK2 != sK2)),
% 0.14/0.38 inference(superposition,[],[f23,f25])).
% 0.14/0.38 thf(f25,plain,(
% 0.14/0.38 ( ! [X0 : $i] : (((f @ X0) = X0)) )),
% 0.14/0.38 inference(leibniz_equality_elimination,[],[f19])).
% 0.14/0.38 thf(f19,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i > $o] : (((X1 @ (f @ X0)) = $false) | ($true = (X1 @ X0))) )),
% 0.14/0.38 inference(binary_proxy_clausification,[],[f18])).
% 0.14/0.38 thf(f18,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i > $o] : ((((X1 @ (f @ X0)) => (X1 @ X0)) = $true)) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f17])).
% 0.14/0.38 thf(f17,plain,(
% 0.14/0.38 ( ! [X0 : $i,X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((Y0 @ (f @ X0)) => (Y0 @ X0))) @ X1) = $true)) )),
% 0.14/0.38 inference(pi_clausification,[],[f16])).
% 0.14/0.38 thf(f16,plain,(
% 0.14/0.38 ( ! [X0 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (f @ X0)) => (Y0 @ X0)))) = $true)) )),
% 0.14/0.38 inference(beta_eta_normalization,[],[f15])).
% 0.14/0.38 thf(f15,plain,(
% 0.14/0.38 ( ! [X0 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ (f @ X0) @ X0) = $true)) )),
% 0.14/0.38 inference(definition_unfolding,[],[f13,f11])).
% 0.14/0.38 thf(f11,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,[],[f6])).
% 0.14/0.38 thf(f6,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,[],[f5])).
% 0.14/0.38 thf(f5,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(f13,plain,(
% 0.14/0.38 ( ! [X0 : $i] : (($true = (leibeq @ (f @ X0) @ X0))) )),
% 0.14/0.38 inference(cnf_transformation,[],[f10])).
% 0.14/0.38 thf(f10,plain,(
% 0.14/0.38 ((p @ (^[Y0 : $i]: (Y0))) = $true) & ! [X0] : ($true = (leibeq @ (f @ X0) @ X0)) & ((p @ f) != $true)),
% 0.14/0.38 inference(flattening,[],[f9])).
% 0.14/0.38 thf(f9,plain,(
% 0.14/0.38 ((p @ f) != $true) & (! [X0] : ($true = (leibeq @ (f @ X0) @ X0)) & ((p @ (^[Y0 : $i]: (Y0))) = $true))),
% 0.14/0.38 inference(ennf_transformation,[],[f8])).
% 0.14/0.38 thf(f8,plain,(
% 0.14/0.38 ~((! [X0] : ($true = (leibeq @ (f @ X0) @ X0)) & ((p @ (^[Y0 : $i]: (Y0))) = $true)) => ((p @ f) = $true))),
% 0.14/0.38 inference(fool_elimination,[],[f7])).
% 0.14/0.38 thf(f7,plain,(
% 0.14/0.38 ~((! [X0] : (leibeq @ (f @ X0) @ X0) & (p @ (^[X1 : $i] : (X1)))) => (p @ f))),
% 0.14/0.38 inference(rectify,[],[f3])).
% 0.14/0.38 thf(f3,negated_conjecture,(
% 0.14/0.38 ~((! [X3] : (leibeq @ (f @ X3) @ X3) & (p @ (^[X3 : $i] : (X3)))) => (p @ f))),
% 0.14/0.38 inference(negated_conjecture,[],[f2])).
% 0.14/0.38 thf(f2,conjecture,(
% 0.14/0.38 (! [X3] : (leibeq @ (f @ X3) @ X3) & (p @ (^[X3 : $i] : (X3)))) => (p @ f)),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.14/0.38 thf(f23,plain,(
% 0.14/0.38 ((f @ sK2) != sK2)),
% 0.14/0.38 inference(beta_eta_normalization,[],[f22])).
% 0.14/0.38 thf(f22,plain,(
% 0.14/0.38 (((^[Y0 : $i]: (Y0)) @ sK2) != (f @ sK2))),
% 0.14/0.38 inference(negative_extensionality,[],[f21])).
% 0.14/0.38 thf(f21,plain,(
% 0.14/0.38 (f != (^[Y0 : $i]: (Y0)))),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f20])).
% 0.14/0.38 thf(f20,plain,(
% 0.14/0.38 ($true != $true) | (f != (^[Y0 : $i]: (Y0)))),
% 0.14/0.38 inference(constrained_superposition,[],[f12,f14])).
% 0.14/0.38 thf(f14,plain,(
% 0.14/0.38 ((p @ (^[Y0 : $i]: (Y0))) = $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f10])).
% 0.14/0.38 thf(f12,plain,(
% 0.14/0.38 ((p @ f) != $true)),
% 0.14/0.38 inference(cnf_transformation,[],[f10])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (24395)------------------------------
% 0.14/0.38 % (24395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24395)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (24395)Memory used [KB]: 5500
% 0.14/0.38 % (24395)Time elapsed: 0.006 s
% 0.14/0.38 % (24395)Instructions burned: 3 (million)
% 0.14/0.38 % (24395)------------------------------
% 0.14/0.38 % (24395)------------------------------
% 0.14/0.38 % (24388)Success in time 0.017 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------