TSTP Solution File: PUZ100^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ100^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 08:49:12 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ100^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 18:05:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/tmp/tmp.V1xXPbMozc/Vampire---4.8_592
% 0.14/0.37 % (727)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)
% 0.14/0.37 % (728)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.37 % (726)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)
% 0.14/0.37 % (729)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)
% 0.14/0.37 % (731)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.37 % (728)Instruction limit reached!
% 0.14/0.37 % (728)------------------------------
% 0.14/0.37 % (728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (728)Termination reason: Unknown
% 0.14/0.37 % (728)Termination phase: Saturation
% 0.14/0.37 % (729)Instruction limit reached!
% 0.14/0.37 % (729)------------------------------
% 0.14/0.37 % (729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (729)Termination reason: Unknown
% 0.14/0.37 % (729)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (729)Memory used [KB]: 895
% 0.14/0.37 % (729)Time elapsed: 0.003 s
% 0.14/0.37 % (729)Instructions burned: 2 (million)
% 0.14/0.37 % (729)------------------------------
% 0.14/0.37 % (729)------------------------------
% 0.14/0.37
% 0.14/0.37 % (728)Memory used [KB]: 5373
% 0.14/0.37 % (728)Time elapsed: 0.003 s
% 0.14/0.37 % (728)Instructions burned: 2 (million)
% 0.14/0.37 % (728)------------------------------
% 0.14/0.37 % (728)------------------------------
% 0.14/0.37 % (727)First to succeed.
% 0.14/0.37 % (726)Also succeeded, but the first one will report.
% 0.14/0.37 % (730)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)
% 0.14/0.37 % (731)Also succeeded, but the first one will report.
% 0.14/0.37 % (727)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for Vampire---4
% 0.14/0.37 % SZS output start Proof for Vampire---4
% 0.14/0.37 thf(func_def_0, type, s: $i > $i).
% 0.14/0.37 thf(func_def_1, type, cCKB_E2: $i > $i > $o).
% 0.14/0.37 thf(func_def_3, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.14/0.37 thf(func_def_15, type, sK2: $i > $o).
% 0.14/0.37 thf(f26,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f25])).
% 0.14/0.37 thf(f25,plain,(
% 0.14/0.37 ($false = $true)),
% 0.14/0.37 inference(forward_demodulation,[],[f20,f18])).
% 0.14/0.37 thf(f18,plain,(
% 0.14/0.37 ($false = (sK2 @ sK0))),
% 0.14/0.37 inference(binary_proxy_clausification,[],[f17])).
% 0.14/0.37 thf(f17,plain,(
% 0.14/0.37 ((((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (s @ (s @ Y0)))))) & (sK2 @ sK0)) => (sK2 @ sK0)) = $false)),
% 0.14/0.37 inference(beta_eta_normalization,[],[f16])).
% 0.14/0.37 thf(f16,plain,(
% 0.14/0.37 ($false = ((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK0)) => (Y0 @ sK0))) @ sK2))),
% 0.14/0.37 inference(sigma_clausification,[],[f15])).
% 0.14/0.37 thf(f15,plain,(
% 0.14/0.37 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ (s @ Y1)))))) & (Y0 @ sK0)) => (Y0 @ sK0)))) != $true)),
% 0.14/0.37 inference(beta_eta_normalization,[],[f14])).
% 0.14/0.37 thf(f14,plain,(
% 0.14/0.37 (((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))) @ sK0 @ sK0) != $true)),
% 0.14/0.37 inference(definition_unfolding,[],[f13,f12])).
% 0.14/0.37 thf(f12,plain,(
% 0.14/0.37 (cCKB_E2 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))),
% 0.14/0.37 inference(cnf_transformation,[],[f8])).
% 0.14/0.37 thf(f8,plain,(
% 0.14/0.37 (cCKB_E2 = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (s @ (s @ Y3)))))) & (Y2 @ Y0)) => (Y2 @ Y1))))))))),
% 0.14/0.37 inference(fool_elimination,[],[f7])).
% 0.14/0.37 thf(f7,plain,(
% 0.14/0.37 (cCKB_E2 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : (((X2 @ X0) & ! [X3] : ((X2 @ X3) => (X2 @ (s @ (s @ X3))))) => (X2 @ X1)))))),
% 0.14/0.37 inference(rectify,[],[f1])).
% 0.14/0.37 thf(f1,axiom,(
% 0.14/0.37 (cCKB_E2 = (^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : (((X2 @ X0) & ! [X3] : ((X2 @ X3) => (X2 @ (s @ (s @ X3))))) => (X2 @ X1)))))),
% 0.14/0.37 file('/export/starexec/sandbox2/tmp/tmp.V1xXPbMozc/Vampire---4.8_592',cCKB_E2_def)).
% 0.14/0.37 thf(f13,plain,(
% 0.14/0.37 ((cCKB_E2 @ sK0 @ sK0) != $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f11])).
% 0.14/0.37 thf(f11,plain,(
% 0.14/0.37 ((cCKB_E2 @ sK0 @ sK0) != $true)),
% 0.14/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])).
% 0.14/0.37 thf(f10,plain,(
% 0.14/0.37 ? [X0] : ((cCKB_E2 @ X0 @ X0) != $true) => ((cCKB_E2 @ sK0 @ sK0) != $true)),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f9,plain,(
% 0.14/0.37 ? [X0] : ((cCKB_E2 @ X0 @ X0) != $true)),
% 0.14/0.37 inference(ennf_transformation,[],[f6])).
% 0.14/0.37 thf(f6,plain,(
% 0.14/0.37 ~! [X0] : ((cCKB_E2 @ X0 @ X0) = $true)),
% 0.14/0.37 inference(fool_elimination,[],[f5])).
% 0.14/0.37 thf(f5,plain,(
% 0.14/0.37 ~! [X0] : (cCKB_E2 @ X0 @ X0)),
% 0.14/0.37 inference(rectify,[],[f3])).
% 0.14/0.37 thf(f3,negated_conjecture,(
% 0.14/0.37 ~! [X0] : (cCKB_E2 @ X0 @ X0)),
% 0.14/0.37 inference(negated_conjecture,[],[f2])).
% 0.14/0.37 thf(f2,conjecture,(
% 0.14/0.37 ! [X0] : (cCKB_E2 @ X0 @ X0)),
% 0.14/0.37 file('/export/starexec/sandbox2/tmp/tmp.V1xXPbMozc/Vampire---4.8_592',cCKB_L32000)).
% 0.14/0.37 thf(f20,plain,(
% 0.14/0.37 ((sK2 @ sK0) = $true)),
% 0.14/0.37 inference(binary_proxy_clausification,[],[f19])).
% 0.14/0.37 thf(f19,plain,(
% 0.14/0.37 (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0) => (sK2 @ (s @ (s @ Y0)))))) & (sK2 @ sK0)) = $true)),
% 0.14/0.37 inference(binary_proxy_clausification,[],[f17])).
% 0.14/0.37 % SZS output end Proof for Vampire---4
% 0.14/0.37 % (727)------------------------------
% 0.14/0.37 % (727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (727)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (727)Memory used [KB]: 5500
% 0.14/0.37 % (727)Time elapsed: 0.004 s
% 0.14/0.37 % (727)Instructions burned: 2 (million)
% 0.14/0.37 % (727)------------------------------
% 0.14/0.37 % (727)------------------------------
% 0.14/0.37 % (724)Success in time 0.006 s
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------