TSTP Solution File: SEV413^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV413^5 : TPTP v8.1.2. Released v4.0.0.
% 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 : n022.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 09:43:05 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV413^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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 : n022.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 : Fri May 3 12:02:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_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.2UZkI5fBKo/Vampire---4.8_9567
% 0.21/0.37 % (9676)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)
% 0.21/0.37 % (9677)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)
% 0.21/0.37 % (9680)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)
% 0.21/0.37 % (9675)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)
% 0.21/0.37 % (9678)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.21/0.37 % (9681)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.21/0.37 % (9678)Instruction limit reached!
% 0.21/0.37 % (9678)------------------------------
% 0.21/0.37 % (9678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (9678)Termination reason: Unknown
% 0.21/0.37 % (9678)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (9678)Memory used [KB]: 5500
% 0.21/0.37 % (9678)Time elapsed: 0.004 s
% 0.21/0.37 % (9678)Instructions burned: 2 (million)
% 0.21/0.37 % (9678)------------------------------
% 0.21/0.37 % (9678)------------------------------
% 0.21/0.38 % (9675)First to succeed.
% 0.21/0.38 % (9679)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)
% 0.21/0.38 % (9677)Also succeeded, but the first one will report.
% 0.21/0.38 % (9681)Also succeeded, but the first one will report.
% 0.21/0.38 % (9675)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for Vampire---4
% 0.21/0.38 % SZS output start Proof for Vampire---4
% 0.21/0.38 thf(func_def_0, type, cB: $i > $o).
% 0.21/0.38 thf(func_def_1, type, cA: $i > $o).
% 0.21/0.38 thf(f47,plain,(
% 0.21/0.38 $false),
% 0.21/0.38 inference(avatar_sat_refutation,[],[f24,f28,f37,f38,f39,f45,f46])).
% 0.21/0.38 thf(f46,plain,(
% 0.21/0.38 ~spl2_5 | spl2_1 | ~spl2_3),
% 0.21/0.38 inference(avatar_split_clause,[],[f42,f26,f17,f34])).
% 0.21/0.38 thf(f34,plain,(
% 0.21/0.38 spl2_5 <=> ((cA @ sK0) = $true)),
% 0.21/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
% 0.21/0.38 thf(f17,plain,(
% 0.21/0.38 spl2_1 <=> ($true = (cB @ sK0))),
% 0.21/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.21/0.38 thf(f26,plain,(
% 0.21/0.38 spl2_3 <=> ! [X3] : (($true = (cB @ X3)) | ($true != (cA @ X3)))),
% 0.21/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.21/0.38 thf(f42,plain,(
% 0.21/0.38 ((cA @ sK0) != $true) | (spl2_1 | ~spl2_3)),
% 0.21/0.38 inference(trivial_inequality_removal,[],[f40])).
% 0.21/0.38 thf(f40,plain,(
% 0.21/0.38 ((cA @ sK0) != $true) | ($true != $true) | (spl2_1 | ~spl2_3)),
% 0.21/0.38 inference(superposition,[],[f19,f27])).
% 0.21/0.38 thf(f27,plain,(
% 0.21/0.38 ( ! [X3 : $i] : (($true = (cB @ X3)) | ($true != (cA @ X3))) ) | ~spl2_3),
% 0.21/0.38 inference(avatar_component_clause,[],[f26])).
% 0.21/0.38 thf(f19,plain,(
% 0.21/0.38 ($true != (cB @ sK0)) | spl2_1),
% 0.21/0.38 inference(avatar_component_clause,[],[f17])).
% 0.21/0.38 thf(f45,plain,(
% 0.21/0.38 ~spl2_2 | ~spl2_3 | spl2_4),
% 0.21/0.38 inference(avatar_contradiction_clause,[],[f44])).
% 0.21/0.38 thf(f44,plain,(
% 0.21/0.38 $false | (~spl2_2 | ~spl2_3 | spl2_4)),
% 0.21/0.38 inference(subsumption_resolution,[],[f43,f23])).
% 0.21/0.38 thf(f23,plain,(
% 0.21/0.38 ($true = (cA @ sK1)) | ~spl2_2),
% 0.21/0.38 inference(avatar_component_clause,[],[f21])).
% 0.21/0.38 thf(f21,plain,(
% 0.21/0.38 spl2_2 <=> ($true = (cA @ sK1))),
% 0.21/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.21/0.38 thf(f43,plain,(
% 0.21/0.38 ($true != (cA @ sK1)) | (~spl2_3 | spl2_4)),
% 0.21/0.38 inference(trivial_inequality_removal,[],[f41])).
% 0.21/0.38 thf(f41,plain,(
% 0.21/0.38 ($true != (cA @ sK1)) | ($true != $true) | (~spl2_3 | spl2_4)),
% 0.21/0.38 inference(superposition,[],[f32,f27])).
% 0.21/0.38 thf(f32,plain,(
% 0.21/0.38 ($true != (cB @ sK1)) | spl2_4),
% 0.21/0.38 inference(avatar_component_clause,[],[f30])).
% 0.21/0.38 thf(f30,plain,(
% 0.21/0.38 spl2_4 <=> ($true = (cB @ sK1))),
% 0.21/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.21/0.38 thf(f39,plain,(
% 0.21/0.38 spl2_2 | spl2_5),
% 0.21/0.38 inference(avatar_split_clause,[],[f12,f34,f21])).
% 0.21/0.38 thf(f12,plain,(
% 0.21/0.38 ($true = (cA @ sK1)) | ((cA @ sK0) = $true)),
% 0.21/0.38 inference(cnf_transformation,[],[f10])).
% 0.21/0.38 thf(f10,plain,(
% 0.21/0.38 ((($true != (cB @ sK0)) & ((cA @ sK0) = $true)) | (($true != (cB @ sK1)) & ($true = (cA @ sK1)))) & (! [X2] : (($true != (cA @ X2)) | ($true = (cB @ X2))) | ! [X3] : (($true != (cA @ X3)) | ($true = (cB @ X3))))),
% 0.21/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8])).
% 0.21/0.38 thf(f8,plain,(
% 0.21/0.38 ? [X0] : (((cB @ X0) != $true) & ((cA @ X0) = $true)) => (($true != (cB @ sK0)) & ((cA @ sK0) = $true))),
% 0.21/0.38 introduced(choice_axiom,[])).
% 0.21/0.38 thf(f9,plain,(
% 0.21/0.38 ? [X1] : (((cB @ X1) != $true) & ($true = (cA @ X1))) => (($true != (cB @ sK1)) & ($true = (cA @ sK1)))),
% 0.21/0.38 introduced(choice_axiom,[])).
% 0.21/0.38 thf(f7,plain,(
% 0.21/0.38 (? [X0] : (((cB @ X0) != $true) & ((cA @ X0) = $true)) | ? [X1] : (((cB @ X1) != $true) & ($true = (cA @ X1)))) & (! [X2] : (($true != (cA @ X2)) | ($true = (cB @ X2))) | ! [X3] : (($true != (cA @ X3)) | ($true = (cB @ X3))))),
% 0.21/0.38 inference(rectify,[],[f6])).
% 0.21/0.38 thf(f6,plain,(
% 0.21/0.38 (? [X2] : (($true != (cB @ X2)) & ($true = (cA @ X2))) | ? [X3] : (($true != (cB @ X3)) & ($true = (cA @ X3)))) & (! [X1] : (($true != (cA @ X1)) | ((cB @ X1) = $true)) | ! [X0] : (((cA @ X0) != $true) | ((cB @ X0) = $true)))),
% 0.21/0.38 inference(ennf_transformation,[],[f5])).
% 0.21/0.38 thf(f5,plain,(
% 0.21/0.38 ~((! [X0] : (((cA @ X0) = $true) => ((cB @ X0) = $true)) | ! [X1] : (($true = (cA @ X1)) => ((cB @ X1) = $true))) => (! [X2] : (($true = (cA @ X2)) => ($true = (cB @ X2))) & ! [X3] : (($true = (cA @ X3)) => ($true = (cB @ X3)))))),
% 0.21/0.38 inference(fool_elimination,[],[f4])).
% 0.21/0.38 thf(f4,plain,(
% 0.21/0.38 ~((! [X0] : ((cA @ X0) => (cB @ X0)) | ! [X1] : ((cA @ X1) => (cB @ X1))) => (! [X2] : ((cA @ X2) => (cB @ X2)) & ! [X3] : ((cA @ X3) => (cB @ X3))))),
% 0.21/0.38 inference(rectify,[],[f2])).
% 0.21/0.38 thf(f2,negated_conjecture,(
% 0.21/0.38 ~((! [X0] : ((cA @ X0) => (cB @ X0)) | ! [X0] : ((cA @ X0) => (cB @ X0))) => (! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X0] : ((cA @ X0) => (cB @ X0))))),
% 0.21/0.38 inference(negated_conjecture,[],[f1])).
% 0.21/0.38 thf(f1,conjecture,(
% 0.21/0.38 (! [X0] : ((cA @ X0) => (cB @ X0)) | ! [X0] : ((cA @ X0) => (cB @ X0))) => (! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X0] : ((cA @ X0) => (cB @ X0)))),
% 0.21/0.38 file('/export/starexec/sandbox2/tmp/tmp.2UZkI5fBKo/Vampire---4.8_9567',cDUAL_EG5_pme)).
% 0.21/0.38 thf(f38,plain,(
% 0.21/0.38 ~spl2_4 | ~spl2_1),
% 0.21/0.38 inference(avatar_split_clause,[],[f15,f17,f30])).
% 0.21/0.38 thf(f15,plain,(
% 0.21/0.38 ($true != (cB @ sK0)) | ($true != (cB @ sK1))),
% 0.21/0.38 inference(cnf_transformation,[],[f10])).
% 0.21/0.38 thf(f37,plain,(
% 0.21/0.38 ~spl2_4 | spl2_5),
% 0.21/0.38 inference(avatar_split_clause,[],[f13,f34,f30])).
% 0.21/0.38 thf(f13,plain,(
% 0.21/0.38 ((cA @ sK0) = $true) | ($true != (cB @ sK1))),
% 0.21/0.38 inference(cnf_transformation,[],[f10])).
% 0.21/0.38 thf(f28,plain,(
% 0.21/0.38 spl2_3 | spl2_3),
% 0.21/0.38 inference(avatar_split_clause,[],[f11,f26,f26])).
% 0.21/0.38 thf(f11,plain,(
% 0.21/0.38 ( ! [X2 : $i,X3 : $i] : (($true != (cA @ X2)) | ($true = (cB @ X2)) | ($true = (cB @ X3)) | ($true != (cA @ X3))) )),
% 0.21/0.38 inference(cnf_transformation,[],[f10])).
% 0.21/0.38 thf(f24,plain,(
% 0.21/0.38 ~spl2_1 | spl2_2),
% 0.21/0.38 inference(avatar_split_clause,[],[f14,f21,f17])).
% 0.21/0.38 thf(f14,plain,(
% 0.21/0.38 ($true = (cA @ sK1)) | ($true != (cB @ sK0))),
% 0.21/0.38 inference(cnf_transformation,[],[f10])).
% 0.21/0.38 % SZS output end Proof for Vampire---4
% 0.21/0.38 % (9675)------------------------------
% 0.21/0.38 % (9675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (9675)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (9675)Memory used [KB]: 5500
% 0.21/0.38 % (9675)Time elapsed: 0.005 s
% 0.21/0.38 % (9675)Instructions burned: 2 (million)
% 0.21/0.38 % (9675)------------------------------
% 0.21/0.38 % (9675)------------------------------
% 0.21/0.38 % (9674)Success in time 0.011 s
% 0.21/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------