TSTP Solution File: NUN023^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN023^2 : TPTP v8.2.0. Released v6.4.0.
% 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 : n004.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 02:16:57 EDT 2024
% Result : Theorem 0.41s 0.61s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : NUN023^2 : TPTP v8.2.0. Released v6.4.0.
% 0.08/0.17 % 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
% 0.17/0.38 % Computer : n004.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sat May 18 14:50:53 EDT 2024
% 0.17/0.39 % CPUTime :
% 0.17/0.39 This is a TH0_THM_EQU_NAR problem
% 0.17/0.39 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
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% 0.25/0.59 % (15914)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.25/0.59 % (15914)Instruction limit reached!
% 0.25/0.59 % (15914)------------------------------
% 0.25/0.59 % (15914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.59 % (15914)Termination reason: Unknown
% 0.25/0.59 % (15914)Termination phase: Saturation
% 0.25/0.59
% 0.25/0.59 % (15914)Memory used [KB]: 895
% 0.25/0.59 % (15914)Time elapsed: 0.002 s
% 0.25/0.59 % (15914)Instructions burned: 2 (million)
% 0.25/0.59 % (15914)------------------------------
% 0.25/0.59 % (15914)------------------------------
% 0.41/0.59 % (15911)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.41/0.59 % (15912)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 (2998ds/4Mi)
% 0.41/0.59 % (15913)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 (2998ds/27Mi)
% 0.41/0.59 % (15918)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.41/0.60 % (15912)Instruction limit reached!
% 0.41/0.60 % (15912)------------------------------
% 0.41/0.60 % (15912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.41/0.60 % (15912)Termination reason: Unknown
% 0.41/0.60 % (15912)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (15912)Memory used [KB]: 5500
% 0.41/0.60 % (15912)Time elapsed: 0.005 s
% 0.41/0.60 % (15912)Instructions burned: 4 (million)
% 0.41/0.60 % (15912)------------------------------
% 0.41/0.60 % (15912)------------------------------
% 0.41/0.60 % (15918)Instruction limit reached!
% 0.41/0.60 % (15918)------------------------------
% 0.41/0.60 % (15918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.41/0.60 % (15918)Termination reason: Unknown
% 0.41/0.60 % (15918)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (15918)Memory used [KB]: 5500
% 0.41/0.60 % (15918)Time elapsed: 0.005 s
% 0.41/0.60 % (15918)Instructions burned: 3 (million)
% 0.41/0.60 % (15918)------------------------------
% 0.41/0.60 % (15918)------------------------------
% 0.41/0.60 % (15913)Refutation not found, incomplete strategy
% 0.41/0.60 % (15913)------------------------------
% 0.41/0.60 % (15913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.41/0.60 % (15913)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.60
% 0.41/0.60
% 0.41/0.60 % (15913)Memory used [KB]: 5500
% 0.41/0.60 % (15913)Time elapsed: 0.006 s
% 0.41/0.60 % (15913)Instructions burned: 5 (million)
% 0.41/0.60 % (15913)------------------------------
% 0.41/0.60 % (15913)------------------------------
% 0.41/0.60 % (15917)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.41/0.61 % (15915)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 (2998ds/2Mi)
% 0.41/0.61 % (15917)First to succeed.
% 0.41/0.61 % (15915)Instruction limit reached!
% 0.41/0.61 % (15915)------------------------------
% 0.41/0.61 % (15915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.41/0.61 % (15915)Termination reason: Unknown
% 0.41/0.61 % (15915)Termination phase: Property scanning
% 0.41/0.61
% 0.41/0.61 % (15915)Memory used [KB]: 895
% 0.41/0.61 % (15915)Time elapsed: 0.003 s
% 0.41/0.61 % (15915)Instructions burned: 2 (million)
% 0.41/0.61 % (15915)------------------------------
% 0.41/0.61 % (15915)------------------------------
% 0.41/0.61 % (15916)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 (2998ds/275Mi)
% 0.41/0.61 % (15917)Refutation found. Thanks to Tanya!
% 0.41/0.61 % SZS status Theorem for theBenchmark
% 0.41/0.61 % SZS output start Proof for theBenchmark
% 0.41/0.61 thf(func_def_1, type, s: $i > $i).
% 0.41/0.61 thf(func_def_2, type, ite: $o > $i > $i > $i).
% 0.41/0.61 thf(func_def_3, type, h: $i > $i).
% 0.41/0.61 thf(func_def_10, type, ph1: !>[X0: $tType]:(X0)).
% 0.41/0.61 thf(f121,plain,(
% 0.41/0.61 $false),
% 0.41/0.61 inference(avatar_sat_refutation,[],[f81,f118,f120])).
% 0.41/0.61 thf(f120,plain,(
% 0.41/0.61 ~spl0_6),
% 0.41/0.61 inference(avatar_contradiction_clause,[],[f119])).
% 0.41/0.61 thf(f119,plain,(
% 0.41/0.61 $false | ~spl0_6),
% 0.41/0.61 inference(equality_resolution,[],[f79])).
% 0.41/0.61 thf(f79,plain,(
% 0.41/0.61 ( ! [X0 : $i] : (((s @ zero) != X0)) ) | ~spl0_6),
% 0.41/0.61 inference(avatar_component_clause,[],[f78])).
% 0.41/0.61 thf(f78,plain,(
% 0.41/0.61 spl0_6 <=> ! [X0] : ((s @ zero) != X0)),
% 0.41/0.61 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.41/0.61 thf(f118,plain,(
% 0.41/0.61 ~spl0_5),
% 0.41/0.61 inference(avatar_contradiction_clause,[],[f117])).
% 0.41/0.61 thf(f117,plain,(
% 0.41/0.61 $false | ~spl0_5),
% 0.41/0.61 inference(subsumption_resolution,[],[f116,f20])).
% 0.41/0.61 thf(f20,plain,(
% 0.41/0.61 (zero != (s @ zero))),
% 0.41/0.61 inference(beta_eta_normalization,[],[f17])).
% 0.41/0.61 thf(f17,plain,(
% 0.41/0.61 (zero != ((^[Y0 : $i]: (s @ ((^[Y1 : $i]: (zero)) @ Y0))) @ (s @ zero)))),
% 0.41/0.61 inference(equality_resolution,[],[f12])).
% 0.41/0.61 thf(f12,plain,(
% 0.41/0.61 ( ! [X1 : $i > $i] : (((s @ zero) != (X1 @ zero)) | (zero != (X1 @ (s @ zero)))) )),
% 0.41/0.61 inference(cnf_transformation,[],[f9])).
% 0.41/0.61 thf(f9,plain,(
% 0.41/0.61 ! [X0] : ((ite @ (zero = X0) @ (s @ zero) @ zero) = (h @ X0)) & ! [X1 : $i > $i] : ((zero != (X1 @ (s @ zero))) | ((s @ zero) != (X1 @ zero))) & ! [X2,X3,X4 : $o] : (((ite @ X4 @ X2 @ X3) = X3) | ($true = X4)) & ! [X5,X6 : $o,X7] : (($true != X6) | ((ite @ X6 @ X5 @ X7) = X5))),
% 0.41/0.61 inference(rectify,[],[f8])).
% 0.41/0.61 thf(f8,plain,(
% 0.41/0.61 ! [X6] : ((ite @ (zero = X6) @ (s @ zero) @ zero) = (h @ X6)) & ! [X7 : $i > $i] : ((zero != (X7 @ (s @ zero))) | ((s @ zero) != (X7 @ zero))) & ! [X3,X4,X5 : $o] : (((ite @ X5 @ X3 @ X4) = X4) | ($true = X5)) & ! [X0,X1 : $o,X2] : (($true != X1) | ((ite @ X1 @ X0 @ X2) = X0))),
% 0.41/0.61 inference(flattening,[],[f7])).
% 0.41/0.61 thf(f7,plain,(
% 0.41/0.61 ! [X7 : $i > $i] : ((zero != (X7 @ (s @ zero))) | ((s @ zero) != (X7 @ zero))) & (! [X0,X1 : $o,X2] : (($true != X1) | ((ite @ X1 @ X0 @ X2) = X0)) & ! [X6] : ((ite @ (zero = X6) @ (s @ zero) @ zero) = (h @ X6)) & ! [X3,X4,X5 : $o] : (((ite @ X5 @ X3 @ X4) = X4) | ($true = X5)))),
% 0.41/0.61 inference(ennf_transformation,[],[f6])).
% 0.41/0.61 thf(f6,plain,(
% 0.41/0.61 ~((! [X0,X1 : $o,X2] : (($true = X1) => ((ite @ X1 @ X0 @ X2) = X0)) & ! [X6] : ((ite @ (zero = X6) @ (s @ zero) @ zero) = (h @ X6)) & ! [X3,X4,X5 : $o] : (($true != X5) => ((ite @ X5 @ X3 @ X4) = X4))) => ? [X7 : $i > $i] : ((zero = (X7 @ (s @ zero))) & ((s @ zero) = (X7 @ zero))))),
% 0.41/0.61 inference(flattening,[],[f5])).
% 0.41/0.61 thf(f5,plain,(
% 0.41/0.61 ~((! [X0,X1 : $o,X2] : (($true = X1) => ((ite @ X1 @ X0 @ X2) = X0)) & ! [X3,X4,X5 : $o] : (~($true = X5) => ((ite @ X5 @ X3 @ X4) = X4)) & ! [X6] : ((ite @ (zero = X6) @ (s @ zero) @ zero) = (h @ X6))) => ? [X7 : $i > $i] : ((zero = (X7 @ (s @ zero))) & ((s @ zero) = (X7 @ zero))))),
% 0.41/0.61 inference(fool_elimination,[],[f4])).
% 0.41/0.61 thf(f4,plain,(
% 0.41/0.61 ~((! [X0,X1 : $o,X2] : (X1 => ((ite @ X1 @ X0 @ X2) = X0)) & ! [X3,X4,X5 : $o] : (~X5 => ((ite @ X5 @ X3 @ X4) = X4)) & ! [X6] : ((h @ X6) = (ite @ (zero = X6) @ (s @ zero) @ zero))) => ? [X7 : $i > $i] : (((s @ zero) = (X7 @ zero)) & (zero = (X7 @ (s @ zero)))))),
% 0.41/0.61 inference(rectify,[],[f2])).
% 0.41/0.61 thf(f2,negated_conjecture,(
% 0.41/0.61 ~((! [X1,X0 : $o,X2] : (X0 => ((ite @ X0 @ X1 @ X2) = X1)) & ! [X1,X2,X0 : $o] : (~X0 => ((ite @ X0 @ X1 @ X2) = X2)) & ! [X3] : ((h @ X3) = (ite @ (zero = X3) @ (s @ zero) @ zero))) => ? [X4 : $i > $i] : (((s @ zero) = (X4 @ zero)) & (zero = (X4 @ (s @ zero)))))),
% 0.41/0.61 inference(negated_conjecture,[],[f1])).
% 0.41/0.61 thf(f1,conjecture,(
% 0.41/0.61 (! [X1,X0 : $o,X2] : (X0 => ((ite @ X0 @ X1 @ X2) = X1)) & ! [X1,X2,X0 : $o] : (~X0 => ((ite @ X0 @ X1 @ X2) = X2)) & ! [X3] : ((h @ X3) = (ite @ (zero = X3) @ (s @ zero) @ zero))) => ? [X4 : $i > $i] : (((s @ zero) = (X4 @ zero)) & (zero = (X4 @ (s @ zero))))),
% 0.41/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n10)).
% 0.41/0.61 thf(f116,plain,(
% 0.41/0.61 (zero = (s @ zero)) | ~spl0_5),
% 0.41/0.61 inference(trivial_inequality_removal,[],[f115])).
% 0.41/0.61 thf(f115,plain,(
% 0.41/0.61 (zero = (s @ zero)) | (zero != zero) | ~spl0_5),
% 0.41/0.61 inference(superposition,[],[f112,f91])).
% 0.41/0.61 thf(f91,plain,(
% 0.41/0.61 ( ! [X0 : $i] : ((zero = (h @ X0)) | (zero = X0)) ) | ~spl0_5),
% 0.41/0.61 inference(equality_resolution,[],[f76])).
% 0.41/0.61 thf(f76,plain,(
% 0.41/0.61 ( ! [X2 : $i,X1 : $i] : ((zero != X1) | ((h @ X2) = X1) | (zero = X2)) ) | ~spl0_5),
% 0.41/0.61 inference(avatar_component_clause,[],[f75])).
% 0.41/0.61 thf(f75,plain,(
% 0.41/0.61 spl0_5 <=> ! [X2,X1] : ((zero != X1) | (zero = X2) | ((h @ X2) = X1))),
% 0.41/0.61 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.41/0.61 thf(f112,plain,(
% 0.41/0.61 (zero != (h @ (s @ zero)))),
% 0.41/0.61 inference(beta_eta_normalization,[],[f111])).
% 0.41/0.61 thf(f111,plain,(
% 0.41/0.61 (zero != ((^[Y0 : $i]: (h @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (s @ zero)))),
% 0.41/0.61 inference(trivial_inequality_removal,[],[f107])).
% 0.41/0.61 thf(f107,plain,(
% 0.41/0.61 (zero != ((^[Y0 : $i]: (h @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (s @ zero))) | ((s @ zero) != (s @ zero))),
% 0.41/0.61 inference(superposition,[],[f12,f104])).
% 0.41/0.61 thf(f104,plain,(
% 0.41/0.61 ((s @ zero) = (h @ zero))),
% 0.41/0.61 inference(equality_resolution,[],[f97])).
% 0.41/0.61 thf(f97,plain,(
% 0.41/0.61 ( ! [X0 : $i] : ((zero != X0) | ((s @ zero) = (h @ X0))) )),
% 0.41/0.61 inference(equality_resolution,[],[f59])).
% 0.41/0.61 thf(f59,plain,(
% 0.41/0.61 ( ! [X0 : $i,X1 : $i] : (((s @ zero) != X1) | ((h @ X0) = X1) | (zero != X0)) )),
% 0.41/0.61 inference(condensation,[],[f58])).
% 0.41/0.61 thf(f58,plain,(
% 0.41/0.61 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((s @ zero) != X0) | (zero != X2) | (zero != X1) | ((h @ X2) = X0)) )),
% 0.41/0.61 inference(equality_proxy_clausification,[],[f33])).
% 0.41/0.61 thf(f33,plain,(
% 0.41/0.61 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((zero != X1) | ((s @ zero) != X0) | ((h @ X2) = X0) | ((zero = X2) != $true)) )),
% 0.41/0.61 inference(constrained_superposition,[],[f13,f14])).
% 0.41/0.61 thf(f14,plain,(
% 0.41/0.61 ( ! [X7 : $i,X5 : $i] : (((ite @ $true @ X5 @ X7) = X5)) )),
% 0.41/0.61 inference(equality_resolution,[],[f10])).
% 0.41/0.61 thf(f10,plain,(
% 0.41/0.61 ( ! [X6 : $o,X7 : $i,X5 : $i] : (($true != X6) | ((ite @ X6 @ X5 @ X7) = X5)) )),
% 0.41/0.61 inference(cnf_transformation,[],[f9])).
% 0.41/0.61 thf(f13,plain,(
% 0.41/0.61 ( ! [X0 : $i] : (((ite @ (zero = X0) @ (s @ zero) @ zero) = (h @ X0))) )),
% 0.41/0.61 inference(cnf_transformation,[],[f9])).
% 0.41/0.61 thf(f81,plain,(
% 0.41/0.61 spl0_5 | spl0_6),
% 0.41/0.61 inference(avatar_split_clause,[],[f43,f78,f75])).
% 0.41/0.61 thf(f43,plain,(
% 0.41/0.61 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((zero != X1) | ((s @ zero) != X0) | (zero = X2) | ((h @ X2) = X1)) )),
% 0.41/0.61 inference(equality_proxy_clausification,[],[f32])).
% 0.41/0.61 thf(f32,plain,(
% 0.41/0.61 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((zero = X2) != $false) | (zero != X1) | ((h @ X2) = X1) | ((s @ zero) != X0)) )),
% 0.41/0.61 inference(constrained_superposition,[],[f13,f26])).
% 0.41/0.61 thf(f26,plain,(
% 0.41/0.61 ( ! [X0 : $i,X1 : $i] : (((ite @ $false @ X0 @ X1) = X1)) )),
% 0.41/0.61 inference(equality_resolution,[],[f23])).
% 0.41/0.61 thf(f23,plain,(
% 0.41/0.61 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($false != X0) | ((ite @ X0 @ X1 @ X2) = X2)) )),
% 0.41/0.61 inference(superposition,[],[f3,f11])).
% 0.41/0.61 thf(f11,plain,(
% 0.41/0.61 ( ! [X2 : $i,X3 : $i,X4 : $o] : (($true = X4) | ((ite @ X4 @ X2 @ X3) = X3)) )),
% 0.41/0.61 inference(cnf_transformation,[],[f9])).
% 0.41/0.61 thf(f3,plain,(
% 0.41/0.61 ($false != $true)),
% 0.41/0.61 introduced(fool_axiom,[])).
% 0.41/0.61 % SZS output end Proof for theBenchmark
% 0.41/0.61 % (15917)------------------------------
% 0.41/0.61 % (15917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.41/0.61 % (15917)Termination reason: Refutation
% 0.41/0.61
% 0.41/0.61 % (15917)Memory used [KB]: 5628
% 0.41/0.61 % (15917)Time elapsed: 0.008 s
% 0.41/0.61 % (15917)Instructions burned: 16 (million)
% 0.41/0.61 % (15917)------------------------------
% 0.41/0.61 % (15917)------------------------------
% 0.41/0.61 % (15775)Success in time 0.211 s
% 0.41/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------