TSTP Solution File: PUZ102^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ102^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 : n018.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 : Sun May 5 08:49:13 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ102^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 18:03:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.36 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/tmp/tmp.eOhfa0oi1g/Vampire---4.8_6451
% 0.22/0.38 % (6683)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 Vampire---4 for (3000ds/27Mi)
% 0.22/0.38 % (6684)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.22/0.38 % (6681)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.22/0.38 % (6685)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.22/0.38 % (6686)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.22/0.38 % (6682)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 Vampire---4 for (3000ds/4Mi)
% 0.22/0.38 % (6688)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.22/0.38 % (6687)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.22/0.38 % (6685)Instruction limit reached!
% 0.22/0.38 % (6685)------------------------------
% 0.22/0.38 % (6685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (6685)Termination reason: Unknown
% 0.22/0.38 % (6685)Termination phase: Function definition elimination
% 0.22/0.38
% 0.22/0.38 % (6685)Memory used [KB]: 895
% 0.22/0.38 % (6685)Time elapsed: 0.003 s
% 0.22/0.38 % (6685)Instructions burned: 2 (million)
% 0.22/0.38 % (6685)------------------------------
% 0.22/0.38 % (6685)------------------------------
% 0.22/0.39 % (6686)Refutation not found, incomplete strategy
% 0.22/0.39 % (6686)------------------------------
% 0.22/0.39 % (6686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (6686)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (6686)Memory used [KB]: 5373
% 0.22/0.39 % (6686)Time elapsed: 0.003 s
% 0.22/0.39 % (6686)Instructions burned: 1 (million)
% 0.22/0.39 % (6686)------------------------------
% 0.22/0.39 % (6686)------------------------------
% 0.22/0.39 % (6684)Instruction limit reached!
% 0.22/0.39 % (6684)------------------------------
% 0.22/0.39 % (6684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (6684)Termination reason: Unknown
% 0.22/0.39 % (6684)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (6684)Memory used [KB]: 5500
% 0.22/0.39 % (6684)Time elapsed: 0.004 s
% 0.22/0.39 % (6684)Instructions burned: 2 (million)
% 0.22/0.39 % (6684)------------------------------
% 0.22/0.39 % (6684)------------------------------
% 0.22/0.39 % (6688)Refutation not found, incomplete strategy
% 0.22/0.39 % (6688)------------------------------
% 0.22/0.39 % (6688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (6688)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (6688)Memory used [KB]: 5500
% 0.22/0.39 % (6688)Time elapsed: 0.004 s
% 0.22/0.39 % (6688)Instructions burned: 1 (million)
% 0.22/0.39 % (6688)------------------------------
% 0.22/0.39 % (6688)------------------------------
% 0.22/0.39 % (6681)First to succeed.
% 0.22/0.39 % (6683)Also succeeded, but the first one will report.
% 0.22/0.39 % (6681)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for Vampire---4
% 0.22/0.39 % SZS output start Proof for Vampire---4
% 0.22/0.39 thf(func_def_0, type, s: $i > $i).
% 0.22/0.39 thf(func_def_1, type, cCKB_E2: $i > $i > $o).
% 0.22/0.39 thf(func_def_14, type, sK2: $i > $o).
% 0.22/0.39 thf(f31,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f29])).
% 0.22/0.39 thf(f29,plain,(
% 0.22/0.39 ($true = $false)),
% 0.22/0.39 inference(superposition,[],[f28,f20])).
% 0.22/0.39 thf(f20,plain,(
% 0.22/0.39 ($true = (sK2 @ sK0))),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f19])).
% 0.22/0.39 thf(f19,plain,(
% 0.22/0.39 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (s @ (s @ Y0)))))) & (sK2 @ sK0)))),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f17])).
% 0.22/0.39 thf(f17,plain,(
% 0.22/0.39 ($false = (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (s @ (s @ Y0)))))) & (sK2 @ sK0)) => (sK2 @ (s @ (s @ sK0)))))),
% 0.22/0.39 inference(beta_eta_normalization,[],[f16])).
% 0.22/0.39 thf(f16,plain,(
% 0.22/0.39 (((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK0)) => (Y0 @ (s @ (s @ sK0))))) @ sK2) = $false)),
% 0.22/0.39 inference(sigma_clausification,[],[f15])).
% 0.22/0.39 thf(f15,plain,(
% 0.22/0.39 ($true != (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK0)) => (Y0 @ (s @ (s @ sK0)))))))),
% 0.22/0.39 inference(beta_eta_normalization,[],[f14])).
% 0.22/0.39 thf(f14,plain,(
% 0.22/0.39 ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))) @ sK0 @ (s @ (s @ sK0))))),
% 0.22/0.39 inference(definition_unfolding,[],[f13,f12])).
% 0.22/0.39 thf(f12,plain,(
% 0.22/0.39 (cCKB_E2 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))),
% 0.22/0.39 inference(cnf_transformation,[],[f6])).
% 0.22/0.39 thf(f6,plain,(
% 0.22/0.39 (cCKB_E2 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))),
% 0.22/0.39 inference(fool_elimination,[],[f5])).
% 0.22/0.39 thf(f5,plain,(
% 0.22/0.39 (cCKB_E2 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : (((X2 @ X0) & ! [X3] : ((X2 @ X3) => (X2 @ (s @ (s @ X3))))) => (X2 @ X1)))))),
% 0.22/0.39 inference(rectify,[],[f1])).
% 0.22/0.39 thf(f1,axiom,(
% 0.22/0.39 (cCKB_E2 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : (((X2 @ X0) & ! [X3] : ((X2 @ X3) => (X2 @ (s @ (s @ X3))))) => (X2 @ X1)))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.eOhfa0oi1g/Vampire---4.8_6451',cCKB_E2_def)).
% 0.22/0.39 thf(f13,plain,(
% 0.22/0.39 ($true != (cCKB_E2 @ sK0 @ (s @ (s @ sK0))))),
% 0.22/0.39 inference(cnf_transformation,[],[f11])).
% 0.22/0.39 thf(f11,plain,(
% 0.22/0.39 ($true != (cCKB_E2 @ sK0 @ (s @ (s @ sK0))))),
% 0.22/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])).
% 0.22/0.39 thf(f10,plain,(
% 0.22/0.39 ? [X0] : ((cCKB_E2 @ X0 @ (s @ (s @ X0))) != $true) => ($true != (cCKB_E2 @ sK0 @ (s @ (s @ sK0))))),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f9,plain,(
% 0.22/0.39 ? [X0] : ((cCKB_E2 @ X0 @ (s @ (s @ X0))) != $true)),
% 0.22/0.39 inference(ennf_transformation,[],[f8])).
% 0.22/0.39 thf(f8,plain,(
% 0.22/0.39 ~! [X0] : ((cCKB_E2 @ X0 @ (s @ (s @ X0))) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f7])).
% 0.22/0.39 thf(f7,plain,(
% 0.22/0.39 ~! [X0] : (cCKB_E2 @ X0 @ (s @ (s @ X0)))),
% 0.22/0.39 inference(rectify,[],[f3])).
% 0.22/0.39 thf(f3,negated_conjecture,(
% 0.22/0.39 ~! [X0] : (cCKB_E2 @ X0 @ (s @ (s @ X0)))),
% 0.22/0.39 inference(negated_conjecture,[],[f2])).
% 0.22/0.39 thf(f2,conjecture,(
% 0.22/0.39 ! [X0] : (cCKB_E2 @ X0 @ (s @ (s @ X0)))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.eOhfa0oi1g/Vampire---4.8_6451',cCKB_L33000)).
% 0.22/0.39 thf(f28,plain,(
% 0.22/0.39 ($false = (sK2 @ sK0))),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f26])).
% 0.22/0.39 thf(f26,plain,(
% 0.22/0.39 ($true = $false) | ($false = (sK2 @ sK0))),
% 0.22/0.39 inference(superposition,[],[f18,f24])).
% 0.22/0.39 thf(f24,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (($true = (sK2 @ (s @ (s @ X1)))) | ($false = (sK2 @ X1))) )),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f23])).
% 0.22/0.39 thf(f23,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (($true = ((sK2 @ X1) => (sK2 @ (s @ (s @ X1)))))) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f22])).
% 0.22/0.39 thf(f22,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (s @ (s @ Y0))))) @ X1))) )),
% 0.22/0.39 inference(pi_clausification,[],[f21])).
% 0.22/0.39 thf(f21,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (s @ (s @ Y0)))))) = $true)),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f19])).
% 0.22/0.39 thf(f18,plain,(
% 0.22/0.39 ((sK2 @ (s @ (s @ sK0))) = $false)),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f17])).
% 0.22/0.39 % SZS output end Proof for Vampire---4
% 0.22/0.39 % (6681)------------------------------
% 0.22/0.39 % (6681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (6681)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (6681)Memory used [KB]: 5500
% 0.22/0.39 % (6681)Time elapsed: 0.005 s
% 0.22/0.39 % (6681)Instructions burned: 2 (million)
% 0.22/0.39 % (6681)------------------------------
% 0.22/0.39 % (6681)------------------------------
% 0.22/0.39 % (6680)Success in time 0.005 s
% 0.22/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------